Quit smoking: In a survey of 444 HIV-positive smokers, 202 reported that they had used a nicotine patch to try to quit smoking. Can you conclude that less than half of HIV-positive smokers have used a nicotine patch

Answers

Answer 1

Answer:

The p-value of the test is of 0.0287 < 0.05(standard significance level), which means that it can be concluded that less than half of HIV-positive smokers have used a nicotine patch.

Step-by-step explanation:

Test if less than half of HIV-positive smokers have used a nicotine patch:

At the null hypothesis, we test if the proportion is of at least half, that is:

$H_0: p \geq 0.5$

At the alternative hypothesis, we test if the proportion is below 0.5, that is:

$H_1: p < 0.5$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.5 is tested at the null hypothesis:

This means that $\mu = 0.5, \sigma = \sqrt{0.5*(1-0.5)} = 0.5$

In a survey of 444 HIV-positive smokers, 202 reported that they had used a nicotine patch to try to quit smoking.

This means that $n = 444, X = \frac{202}{444} = 0.455$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.455 - 0.5}{\frac{0.5}{\sqrt{444}}}$

$z = -1.9$

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.455, which is the p-value of z = -1.9.

Looking at the z-table, z = -1.9 has a p-value of 0.0287.

The p-value is of 0.0287 < 0.05(standard significance level), which means that it can be concluded that less than half of HIV-positive smokers have used a nicotine patch.

Related Questions

Determine if the line segment YX is tangent to circle Z. 30 points

Answers

Answer:

XY is tangent to circle Z

Step-by-step explanation:

You want to know if segment XY, measuring 3.6 units, is tangent to circle Z at point X. Segment YZ has length 1.8 units outside the circle, which has radius 2.7 units.

Pythagorean relation

If the triangle XYZ is a right triangle, then we have ...

XY² +XZ² = YZ²

3.6² +2.7² = (1.8 +2.7)²

12.96 +7.29 = 20.25 . . . . . true

Segment XY is a tangent.

Secant relation

If segment YZ is extended across the circle, the lengths of the segments from Y to the circle intersection points are 1.8 and (1.8 +2·2.7) = 7.2. The relation between the secant and the "tangent" will be ...

3.6² = (1.8)(7.2) . . . . . true

This means XY is a tangent.

12. What is the value of the following expression when
a = -2 and b = -4?
5(4a3b)+ ab
A-108
B -92
C -12
D12
E 28

Answers

Answer:

1st one is b. 2nd one is A

Step-by-step explanation:

i did the quiz

You sailed 0.055 units to the left and found treasure at 0.085 units find where the ship started

Answers

To find where the ship started, we can utilize the following formula:

Starting position = Treasure location + distance sailed to the left

Since we know going in the left direction typically is a means of subtraction, we can use inverse operations to solve this. We can set up an addition problem to solve this:

Starting position = 0.085 + 0.055
Starting position = 0.03 units

Therefore, the ship started at 0.03 units.

Solve the inequalities 2(x-9)>-2

Answers

Answer:

x>8

Step-by-step explanation:

2(x-9)>-2

(x-9)>-2/2 = (x-9)>-1

x>-1+9 = x>8

Emma has been keeping an eye on an emerald ring she likes. Its original price was $3,000. After being marked down for a clearance sale, it is now $2,220. By what percent has the price of the ring gone down?

Answers

Answer:

26%

Step-by-step explanation:

Original price of the emerald ring

= $3000

Price after the sale

= $2220

Decrease in amount

= $(3000 - 2220)

= $780

Percentage decrease

$ \\ = (\: \frac{decrease \: in \: amount}{original \: amount} \times 100)\%$

$ \\ = ( \frac{780}{3000} \times 100)\%$

$ \\ = (26)\%$

$ \\ = 26\%$

Hence, by 26% has the price of the ring gone down.

The midpoint of segment AB is M(-2,2). If A is located at (-5,7) find the coordinates of the endpoint B

Answers

Answer:

B (1, -3)

Step-by-step explanation:

Step 1: Use the midpoint formula to find the coordinates of the endpoint:

Normally, we find the midpoint of a segment using the midpoint formula, which is given by:

M = (x1 + x2) / 2, (y1 + y2) / 2, where

M is the midpoint,(x1, y1) are one endpoint on the segment,and (x2, y2) are the other endpoint of the segment.

Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:

x-coordinate of B:

x-coordinate of midpoint = (x1 + x2) / 2

(-2 = (-5 + x2) / 2) * 2

(-4 = -5 + x2) + 5

1 = x2

Thus, the x-coordinate of the endpoint B is 1.

y-coordinate of B:

y-coordinate of midpoint = (y1 + y2) / 2

(2 = (7 + x2) / 2) * 2

(4 = 7 + x2) -7

-3 = y2

Thus, the y-coordinate of the endpoint B is -3.

Thus, the coordinates of the endpoint B are (1, -3).

2. Brownies at the school bake sale are 3 for $5.50. What is the price of one brownie?

Answers

Answer:

$1.83

Step-by-step explanation:

5.50÷3 = 1.8333333 = 1.83

Pairs of shorts had a mark_up of 17%which includes profit and GST at a price of k29. 25.Find the cost price.

Answers

The cost price of the shorts is K22.50.

To find the cost price of the shorts, we need to reverse calculate the original price before the markup and taxes were applied.

Let's assume the cost price of the shorts is represented by C.

The markup of 17% is applied to the cost price, which means the selling price (including the markup) is 117% of the cost price.

117% of the cost price C can be calculated as (117/100) * C.

GST (Goods and Services Tax) is also included in the selling price. GST is typically calculated as a percentage of the selling price. In this case, the selling price of the shorts including GST is K29.25.

Since the GST is included in the selling price, we can subtract it from the selling price to obtain the selling price before GST.

Let's assume the GST rate is R% (as a decimal), then the selling price before GST can be calculated as:

Selling price before GST = Selling price - (Selling price × R)

In this case, the selling price before GST is K29.25, and the GST rate is 17% (0.17 as a decimal). Substituting these values into the equation, we have:

K29.25 = Selling price - (Selling price × 0.17)

Simplifying the equation

K29.25 = Selling price × (1 - 0.17)

K29.25 = Selling price × 0.83

Selling price = K29.25 / 0.83

Now we can substitute the selling price in terms of the cost price:

K29.25 / 0.83 = (117/100) × C

Simplifying the equation:

C = (K29.25 / 0.83) × (100/117)

Calculating the cost price C:

C = K22.50

Therefore, the cost price of the shorts is K22.50.

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What is the probability that either event will occur?
A
30
8
B
7
P(A or B) = P(A) + P(B)
P(A or B) = [?]
Enter as a decimal rounded to the nearest hundredth.

Answers

The probability that either event will occur is 0.33

What is the probability that either event will occur?

From the question, we have the following parameters that can be used in our computation:

Event A = 8Event B = 7Other Events = 30

Using the above as a guide, we have the following:

Total = A + B + C

So, we have

Total = 8 + 7 + 30

Evaluate

Total = 45

So, we have

P(A) = 8/45

P(B) = 7/45

For either events, we have

P(A or B) = 8/45 + 7/45

P(A or B) = 15/45

Evaluate

P(A or B) = 0.33

Hence, the probability that either event will occur is 0.33

Answers

Based on their given probabilities, e would expect the color blue or green to be spun approximately 75 times in this experiment.

How many times can the blue or green color be obtained?

To find the expected number of times the color blue or green will be spun, we first need to add their probabilities:

0.25 + 0.125 = 0.375

This means that, on average, we would expect to see blue or green spun 0.375 times for every spin. To find the expected number of times this will happen over 200 spins, we can multiply the probability by the number of spins:

0.375 x 200 = 75

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Arianna is packing scented candles and candle holders into gift boxes. She has 84 candles and 48 holders, and each box must contain both items. She puts the same number of candles in each box, and the same number of holders in each box. What is the maximum number of gift boxes Arianna can pack, and how many scented candles and candle holders will each box have?

A.

4 boxes; 21 scented candles and 12 candle holders

B.

6 boxes; 14 scented candles and 8 candle holders

C.

12 boxes; 7 scented candles and 4 candle holders

D.

24 boxes; 3 scented candles and 2 candle holders

Answers

The answer is A

Hope this helps!

1) Refer to the relation below to answer the following questions:
(a) What is the domain of the relation?
(b) What is the range of the relation?
{(-1,7),(0,5),(2,5),(5,6)}

Answers

a. {-1,0,2,5}

b. {7,5,5,6}

how much money deposited now will provide payment of Rs. 15000 at the end of each half year for 10 years, if interest is 16% compounded six-monthly

Answers

The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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the circumference of a circle is

Answers

Answer:

Step-by-step explanation:

the formula for circumference of a circle is 2 x pi x r(radius).

Answer:

The circumference of a circle is pretty much just the perimeter of the circle Step-by-step explanation:

Sumbody kome in clutch for me

Answers

Answer: A
Explanation: my brain

what is 11/2 times 1/3 as a fraction

Answers

Answer:

11/2 times 1/3 is 11/6

Step-by-step explanation:

11/2 times 1/3,

We have to multiply the numerators and denominators,

$(11/2)(1/3) = (11*1)/(2*3) = 11/6\\11/6$

hence we get 11/6

Combine the like terms to create an equivalent expression. \large{7k-k+19}7k−k+19

Answers

A is correct trust promise

Answer:

The simplified expression is 6k+19 .

Step-by-step explanation:

A scratch-off lottery ticket costs 5 dollars. If the ticket wins, it can be redeemed for 100 dollars. If the ticket
loses, the ticket is worthless. According to the lottery's website, 4% of all tickets are winners.
The expected value of buying a ticket is -1 dollar

Answers

Answer:

-If you bought a small number of tickets, it is possible for you to make money

-If you bought a large number of tickets, you should expect the average value to be about −1−1minus, 1 dollar per ticket.

Step-by-step explanation:

21. A rectangle has an area of 24 square inches. Let W be the
width (in inches), L be the length (in inches), and A be the
area (in square inches).
a. Sketch three possible rectangles of area 24 square inches.
b. Which of the symbols W. L. and A are variables? Explain.
Which of the symbols W, L. and A are constants? Explain.

Answers

Three possible rectangles of area 24 square inches are:

A rectangle with width 6 inches and length 4 inches

A rectangle with width 8 inches and length 3 inches

A rectangle with width 4 inches and length 6 inches

How to explain the area

It should be noted that W and L are variables because their values can change, whereas A is a constant because it is fixed at 24 square inches. W and L can be any values as long as the product of their values is equal to 24.

In this case, W and L are variables and A is a constant.

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Simplify: -20b^8 + 2b^8
Enter the original expression if it cannot be
simplified.

Answers

Answer:

=-18b mini eight lol

Step-by-step explanation:

Choose the equation for the line in slope-intercept form.

Answers

The answer is C I think

C is correct- process of elimination take points on the line and put in the formula and C is the only equation that works

Is 3.275 rational number

Answers

Answer:

yes it is rational number examples

3.275/5

3.275/10

hope.it helps

plz mark a brainliest

Yes it is because it’s ends

Right triangles 12 and 3 are given with all their angle measures and approximate side lengths. 35 120 8.2 10 9.4 10 1 2 70 55 5.7 6.4 3 40

Answers

From the give triangles the triangle 2 is similar to triangle MNO.

Similar triangles have correcponding internal angles congruent (have the same measure).

The ratio between corresponding sides of similar triangles is equal in each pair of sides.

To find the measure of side MO, the correspondig side in triangle 2 is 8.2 units, you use also the measure of side MN (8units) and the corresponding side 10units:

$\frac{MO}{8.2}=\frac{8}{10}$

Use the equation above to find the measure of MO:

$MO=\frac{8.2\cdot8}{10}=6.56\approx6.6$Then, side Mo is approximately 6.6 units

An artist sculpted a scale model of a giraffe for the zoo gift shop. The artist used the scale 1 inch: 4 feet to create the scale model giraffe. The actual giraffe at the zoo is 20 feet tall.

How tall is the scale model giraffe in inches?

Enter your answer in the box.
inches

Answers

Answer:

The scale model giraffe is 5 inches tall.

Step-by-step explanation:

To determine the size of the giraffe sculpted by the artist, knowing that it has been built on a scale of 1 inch for every 4 feet, and knowing that the real giraffe in the zoo is 20 feet, the following calculation must be performed:

20 feet / 4 inches = X

5 = X

Therefore, the size of the giraffe sculpted to scale by the artist is 5 inches.

Study this table.

x
y
–3
–2
–2
0
0
4
4
12

Which best describes the function represented by the data in the table?
linear with a common ratio of 2
linear with a common first difference of 2
quadratic with a common ratio of 2
quadratic with a common first difference of 2

Answers

The first one linear with a common ratio of 2

can someone help me with this please and I also need the steps thanks

Answers

Answer:

16.4

Step-by-step explanation:

For the 66° angle, the side with length 15 is the opposite leg.

The hypotenuse is x.

The trig ratio that relates the opposite leg to the hypotenuse is the sine.

sin A = opp/hyp

sin 66° = 15/x

x * sin 66° = 15

x = 15/sin 66°

x = 16.4

Item 3 A snail travels 3/8 feet in 1/2 hour. How many feet does the snail travel in one hour? Express your answer in simplest form. 3/16ft 1/4ft 1/8ft 3/4ft

Answers

The answer in simplest form would be 3/4ft

what does 1\4 divided by 1 3/5 equal and how do i work it out

Answers

Answer:

slimer 16 goofy butt fart gamer setup

Step-by-step explanation:

Does the following table represent an exponential decay or growth function?

Answers

Answer:

It shows the growth function I think because the are increasing

Step-by-step explanation:

It is not a exatly

In a basket of apples, 12% of them
are rotten and 66 are in good
condition. Find the total number of
apples in the basket.

Answers

Answer:

The total number of apples is 550

Step-by-step explanation:

12% - Turn into a fraction of 12/100

12/100

X = total number of apples

*Make another fraction of x the denominator and the 66 that are in good condition as the numerator*

12/100 = 66/X

Cross multiply

12 * X = 12x

66 * 100 = 6600

Divide

6600/12 = 12x/12 - cancel

6600/12= 550

X = 550

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