Suppose a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%. A cell phone company has reason to believe that the proportion is 30%. Before they start a big advertising campaign, they conduct a 99% CL hypothesis test. Their marketing people survey 150 households with the result that 43 of the households have three cell phones.

Required:
a. Is the actual percentage of households different from 30%?
b. Set up the hypothesis test.
c. What is the success for this problem?
d. Calculate the p-value.
e. Draw conclusion.

Answers

Answer 1

Answer:

We conclude that the actual percentage of households is equal to 30%.

Step-by-step explanation:

We are given that a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%.

Their marketing people survey 150 households with the result that 43 of the households have three cell phones.

Let p = proportion of households that have three cell phones NOT known.

So, Null Hypothesis, \(H_0\) : p = 30%      {means that the actual percentage of households is equal to 30%}

Alternate Hypothesis, \(H_A\) : p \(\neq\) 30%     {means that the actual percentage of households different from 30%}

The test statistics that would be used here One-sample z-test for proportions;

                                T.S. =  \(\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }\)  ~ N(0,1)

where, \(\hat p\) = sample proportion of households having three cell phones = \(\frac{43}{150}\) = 0.29

           n = sample of households = 150

So, the test statistics  =  \(\frac{0.29-0.30}{\sqrt{\frac{0.30(1-0.30)}{150} } }\)  

                                     =  -0.27

The value of z test statistic is -0.27.

Also, P-value of the test statistics is given by;

              P-value = P(Z < -0.27) = 1 - P(Z \(\leq\) 0.27)

                            = 1 - 0.6064 = 0.3936

Now, at 1% significance level the z table gives critical value of -2.58 and 2.58 for two-tailed test.

Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the actual percentage of households is equal to 30%.


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Step-by-step explanation:

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An interior angle of a regular polygon measures 140 degrees how many sides does the polygon have

Answers

The formula for calculating the measure of each interior angle of a regular polygon is:

Interior angle = (n-2) x 180° / n

where n is the number of sides of the polygon.

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Step-by-step explanation:

A study is conducted to determine whether people learn better with spaced or massed practice. Subjects volunteer from an introductory psychology class. At the beginning of the semester 12 subjects volunteer and are assigned to the massed-practice condition. At the end of the semester 12 subjects volunteer and are assigned to the spaced-practice condition. This experiment involves two kinds of non-random sampling: (1) Subjects are not randomly sampled from some specified population and (2) subjects are not randomly assigned to conditions. Which of the problems relates to the generality of the results? Which of the problems relates to the validity of the results? Which problem is more serious?

Answers

Answer and Step-by-step explanation: In the study conducted, the problem that relates to generality of the results is (1) the subjects are not randomly sampled from some specified population, because it can't produce results that is for general population. It would be biased since the sample is taken by a volunteer group.

The problem related to validity is (2) subjects are not randomly assigned to conditions. It is not possible to determine the relationship among variables, since sampling can be biased.

from the two problems, the problem related to validity is more serious because it affects the credibility of the study, rather it's reliable or not.

What is an equation of the line tangent to the circle x2+y2=32 at (4, 4)

Answers

Answer:

y=x+8

Step-by-step explanation:

The answer is y=x+8

Answer:

Step-by-step explanation:

Center is at (0, 0)  for circle  you need to find the slope from center to point so that you can find perpendicular slope.  

slope = (4-0)/(4-0) =1

the perpendicular slope needs to be flipped and opposite sign

m(tan)= -1   point for tan = (4,4)   put in point-slope form

y-4= -1(x-4)

y-4 =-1x+4

y = -x +8

Gravel is being dumped from a conveyor belt at a rate of 15 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 12 ft high? (Round your answer to two decimal places.)

Answers

Answer:

0.13 ft/min

Step-by-step explanation:

We are given that

\(\frac{dV}{dt}=15ft^3/min\)

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Let d be the diameter of pile

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Find the exact Value
Sin 75 - sin 15° using
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Answers

Answer:

Prefer the attachment for ur ans.

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Which of the following sets of ordered pairs does not satisfy a linear function?
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(2, 6), (3, 9), (4, 12), (5, 15), (6, 18)
(2, 5), (4, 9), (6, 13), (7, 15), (9, 17)
(2, 6), (4, 8), (6, 10), (8, 12), (10, 14)

Answers

Answer:

(2, 6), (4, 8), (6, 10), (8, 12), (10, 14)

Can t(n)=2048(.5)^n ever equal -1? Can a number turn negative by powering it?

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Answer:

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Step-by-step explanation:

Graph the line with slope
-1/2
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Answers

Equation of the line with slope -1/2 passing through the point (-1,-4) is x + 2y = -9

Given,

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=> s = -1 and t = -4

The following equation can be used to find the line's equation:

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We get by substituting the values in the equation

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=> x + 2y = -9

Therefore, by using the formula for equation of line, we get the equation of the line with slope -1/2 passing through the point (-1,-4) as x + 2y = -9

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Complete the blanks:

Horizontal lines have _____
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Answers

Answer:

Horizontal lines have __zero___

slope and vertical lines have   undefined   slope.

Horizontal lines have ___linear____ equations that say _y_= any number.

Vertical lines have equations that say _x_= any number.

Answer:

To write the equation of a horizontal line, we only need to specify where it intersects with the y-axis. This will look like y=k, where k is where the line crosses the y-axis.

The equation of a vertical line always takes the form x = k, where k is any number and k is also the x-intercept .

Step-by-step explanation:

Mark me brainliest plzzzzzzzzzzzzzzzzzzzzzz

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Answer:

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answers below

Step-by-step explanation:

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Saturn=6,532.5021

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Earth=57.90584

Saturn=46,647.01596

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4/3 x pie x r3

Also the radius (r) is half of the diameter, so you divide the diameter by 2.

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Answers

Answer:

y=-1/7x-5

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Please help!! Solve x^2 = 36 for x. I think it may be A not so sure tho.

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Answer: You are correct

Step-by-step explanation:

25
The concert that Georgia wants to go to offers discounted tickets to groups that buy
more than 12 tickets. Georgia doesn't know what the discount on the tickets will be,
but she knows each ticket will cost less than the regular price of a ticket to the
concert, $9.50. Which statement is true?
A
B
C
D
The inequality that represents the number of tickets, t, Georgia can buy at the
discounted price is t > 12.
The inequality that represents the number of tickets, t, Georgia can buy at the
discounted price is t < 9.50.
The inequality that represents the price, p, of each of the discounted tickets
is p < 12.
The inequality that represents the price, p, of each of the discounted tickets
is p > 9.50.

Answers

The correct statement is D. The inequality that represents the price, p, of each of the discounted tickets is p > 9.50.

Georgia wants to go to a concert.

The concert offers discounted tickets to groups that buy more than 12 tickets.

The price of each discounted ticket is less than the regular price of $9.50.

Now, let's break down each statement:

A. The inequality that represents the number of tickets, t, Georgia can buy at the discounted price is t > 12.

This statement is not necessarily true based on the information given. We know that the concert offers discounted tickets to groups that buy more than 12 tickets, but it doesn't provide any information about the maximum number of tickets Georgia can buy at the discounted price. The number of tickets Georgia can purchase could be more or less than 12.

B. The inequality that represents the number of tickets, t, Georgia can buy at the discounted price is t < 9.50.

This statement is incorrect. The inequality t < 9.50 doesn't make sense in this context because it implies that the number of tickets Georgia can buy is less than the price of a ticket, which is not relevant.

C. The inequality that represents the price, p, of each of the discounted tickets is p < 12.

This statement is incorrect as well. The inequality p < 12 suggests that the price of each discounted ticket is less than 12, but we don't have any information about the exact discount amount or the range of prices for the discounted tickets.

D. The inequality that represents the price, p, of each of the discounted tickets is p > 9.50.

This is the correct statement. We know that each discounted ticket costs less than the regular price of $9.50. Therefore, the price of each discounted ticket, represented by p, must be less than $9.50. Hence, the correct inequality is p < 9.50, or equivalently, p > 9.50.

In summary, the correct statement is D. The inequality that represents the price, p, of each of the discounted tickets is p > 9.50.

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Solve showing all the steps

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Answer:

Step-by-step explanation:

Is the second exponent 6, or 6x ?

If it is 6x, then x = -½

Solve showing all the steps

Two angles of a quadrilateral measure 130° and 195°. The other two angles are in a ratio of 2:5. What are the measures of those two angles?

Answers

The measure of other two angles in the given quadrilateral are 10° and 25°.

What is quadrilateral?

A quadrilateral is a polygon with four sides four angles and four vertices. Whenever we name a quadrilateral, we need to keep in mind the order of the vertices.

Given that, two angles of a quadrilateral measure 130° and 195°.

The other two angles are in a ratio of 2:5.

So, the other two angles are 2x and 5x

Now, 130°+195°+2x+5x=360°

325°+7x=360°

7x=360°-325°

7x=35°

x=5

So, 2x=10° and 5x=25°

Therefore, the measure of other two angles in the given quadrilateral are 10° and 25°.

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Heights are generally normally distributed. Men have a mean of 69.5 inches and standard deviation 2.4 inches. Women have
a mean of 63.8 inches and standard deviation 2.6 inches. The US Air Force has a height requirement for their pilots to be
between 64 inches and 77 inches.
Make sure you are rounding z-scores properly to two places.
Part A: Find the two z-scores for women who meet this height requirement z =
and z=
I
(larger value)
For Blank 1
Part B: Using the z-scores from part A, find the proportion of women who meet the height requirement. Give this answer as a
decimal.
Z=
(smaller value)
Part C: Find the two z-scores for men who meet this height requirement z =
(larger value)
Part D: Using the z-scores from part C, find the proportion of men who meet the height requirement. Give this answer as a
decimal.
QUESTION 2
(smaller value) and
Part E: If the height requirement were changed to exclude only the shortest 1% of women and tallest 1% of men, what are the
new heights? The short value would be
in inches and the tall value would be
in inches. Please give these two values rounded properly to one decimal place.

Answers

Normal distribution curve is symmetric around the mean, it shows that values close to the mean happen more frequently than those distant from the mean.

What is meant by normal distribution curve?

A bell-shaped (symmetric) curve, the normal probability distribution or the normal curve. The mean of it is represented by and the standard deviation by σ.

In this example, the mean and median are both equal and lie in the center of the distribution; they are 64, and the standard deviation is 7, with 68% of the values falling within the first standard deviation, 95% within the second standard deviation, and 99.7% within the third. Once more, variance is equal to the standard deviation squared.

According to the normal distribution curve:

"the percent of women whose heights are between 64 and 69.5 inches" represents the values within 2 standard deviation.

Area from a value (Use to compute p from Z)

Value from an area (Use to compute Z for confidence intervals)

Let the parameters be

Mean 64

Standard deviation 2.75

Above 1.96

Below 1.96

Between 64 and 69.5

Outside -1.96 and 1.96

Area (probability) 0.4772

And that value is 95 % of the whole data

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Heights are generally normally distributed. Men have a mean of 69.5 inches and standard deviation 2.4

ASAP!!! Please help me solve

ASAP!!! Please help me solve

Answers

Answer:  j(x) = (x-1)(x+2)

The x-1 part is because of the root x = 1

The root x = -2 leads to the factor x+2

Help Will Give Brainliest.

Find The Surface Area

Help Will Give Brainliest.Find The Surface Area

Answers

Answer:

54

Step-by-step explanation:

A rectangle + a triangle

= 2 * 12 + (7 - 2) * 12/2

= 24 + 30

= 54

x2+10x+=()2
step by step

Answers

The value of the expression x² + 10x, when x = 2 is 24.

In the expression x² + 10x, x represents a variable, which is a placeholder for a value that can change. We are given that x = 2, which means we substitute 2 for x in the expression:

x² + 10x = 2² + 10(2)

Here, 2² means 2 raised to the power of 2, which is 2 multiplied by itself: 2² = 2 x 2 = 4.

10(2) means 10 multiplied by 2, which is 20.

So we can substitute these values in the expression:

x² + 10x = 2² + 10(2)

= 4 + 20

= 24

Therefore, when x is equal to 2, the value of the expression x² + 10x is 24.

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The complete question:

Evaluate the expression x² + 10x, when x = 2.

Find the distance between A and B

Find the distance between A and B

Answers

Answer:

26

Step-by-step explanation:

13+13=26

Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390

Answers

The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

Using the definitional formula, compute Ss, variance and the standard deviation for the following population of scores. Scores: 1, 8, 0, 4,2 SS 40 variance 10 standard deviation 3.16

Answers

Ss, variance and the standard deviation for the population of scores is 2.83 and 8 respectively

What is standard deviation and variance?

Standard deviation is a measure of the distribution of statistical data, whereas variance is a measure of how data points differ from the mean. The fundamental distinction between the two is that although the variance is expressed in squared units, the standard deviation is expressed in the same units as the data's mean.

Given,

SS = 40

Variance = 10

Standard Deviation = 3.16

Using Population Variance Formula :

= \(\frac{1}{n}\)∑( x-xbar)²  where i is 1

For the complete solution see the attachment of table

sum ( x - x bar)² = 40

so, variance = 40/5

= 8

standard deviation = \(\sqrt{8}\)

= 2.83

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Using the definitional formula, compute Ss, variance and the standard deviation for the following population

Pls help me with my math

Pls help me with my math

Answers

Step-By-step
|18 + x/2| > 10
|1/2x + 18| > 10
Solve Absolute Value.
|1/2x + 18| > 10
We know either
1/2x + 18 > 10
or
1/2x + 18 < −10

(Possibility 1)
1/2x + 18 > 10
1/2x + 18 − 18 > 10 − 18
(Subtract 18 from both sides)
1/2x > − 8
2* (1/2x) > (2)* (−8)
(Multiply both sides by 2)
x > -16

(Possibility 2)
1/2x + 18 < −10
1/2x + 18 − 18 < -10 − 18
(Subtract 18 from both sides)
1/2x < −28
2* (1/2x) < (2)* (−28)
(Multiply both sides by 2)
x < -56

(Answer)
x > -16 or x < −56

1. Are the following events mutually exclusive?
Event A: Randomly selecting a male student at Riverdale High School.
Event B: Randomly selecting a member of the football team at Riverdale High School.

a. No, these are not mutually exclusive events
b. Yes, these are mutually exclusive events.

2. Use the Multiplication Rule to find the probability: The probability of a kidney transplant surgery is successful is 0.775. Find the probability of at least one surgery, out of 3, will be successful.

a. 0.997
b. 0.465
c. 0.535
d. 0.989

Answers

Answer:

Step-by-step explanation:

a. No, these are not mutually exclusive events because it is possible for a male student at Riverdale High School to be a member of the football team.

Using the Multiplication Rule, we can find the probability of at least one successful surgery out of three surgeries as follows:

P(at least one successful surgery) = 1 - P(no successful surgeries)

To find the probability of no successful surgeries, we use the complement rule and multiply the probabilities of three unsuccessful surgeries:

P(no successful surgeries) = 0.225 x 0.225 x 0.225 = 0.011390625

Therefore, the probability of at least one successful surgery out of three surgeries is:

P(at least one successful surgery) = 1 - 0.011390625 = 0.988609375

So, the answer is d. 0.989 (rounded to three decimal places).

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