Please help me solve the problem

A paper reported that in a representative sample of 282 American teens age 16 to 17, there were 71 who indicated that they had s

elena-s [515]

Answer:

$z=\frac{0.252 -0.25}{\sqrt{\frac{0.25(1-0.25)}{282}}}=0.0776$

$p_v =P(z>0.0776)=0.4691$

Since the p value is higher than the significance level so then we can conclude that we have enough evidence to FAIL to reject the null hypothesis and there is no evidence in order to say that the true proportion of teens more than a quarter of Americans age 16 to 17 have sent a text message while driving is higher than 0.25

Step-by-step explanation:

Information provided

n=282 represent the sample selected

X=71 represent the teens indicated that they had sent a text message while driving

$\hat p=\frac{71}{282}=0.252$ estimated proportion of teens indicated that they had sent a text message while driving

$p_o=0.25$ is the value that we want to test

$\alpha=0.01$ represent the significance level

z would represent the statistic

$p_v$ represent the p value

System of hypothesis

We want to check if more than a quarter of Americans age 16 to 17 have sent a text message while driving, and the hypothesis are:

Null hypothesis: $p\leq 0.7$

Alternative hypothesis: $p > 0.25$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing we got:

$z=\frac{0.252 -0.25}{\sqrt{\frac{0.25(1-0.25)}{282}}}=0.0776$

Decision

The p value for this case is:

$p_v =P(z>0.0776)=0.4691$

Since the p value is higher than the significance level so then we can conclude that we have enough evidence to FAIL to reject the null hypothesis and there is no evidence in order to say that the true proportion of teens more than a quarter of Americans age 16 to 17 have sent a text message while driving is higher than 0.25

8 0

4 years ago

Evarado paid $1.12 for a dozen eggs at his local grocery store. Determine the cost of 3 eggs

Anton [14]

First you have to find out the cost for a single egg.

Since there are a dozen (12) eggs, you can divide the total cost by that.
1.12/12 ≈ 0.09.

Using the base cost of an egg, you can find out how much 3 eggs would cost.

0.09 x 3 = $0.27

5 0

3 years ago

Read 2 more answers

The circumstances of a circular painting is 9.42 feet what is the diameter of the painting use pi

pshichka [43]

R2= 4.71
3.14x 4.71x4.71= 69.65

4 0

3 years ago

How would you solve x + 3y = 18 -3x - 12y = -75 showing all of the work

VikaD [51]

Answer:

x = -3, y = 7.

Step-by-step explanation:

x + 3y = 18

-3x - 12y = -75

Multiply the first equation by 3:

3x + 9y = 54

Adding the last 2 equations to eliminate x:

-3y = -21

y = 7.

Substitute y = 7 into the first equation:

x + 3(7) = 18

x + 21 = 18

x = 18 - 21

x = -3.

3 0

3 years ago

Solve the equation<br>2x + 4x -7=5<br>×=

Sauron [17]

Answer:

soln,

6x=12

so,x=2.........

7 0

3 years ago