Fill the table using this function rule.

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

Ten years ago Victors age WAs half of the age he will be in 10 years how old is he now?

ICE Princess25 [194]

By solving a linear equation, we will see that Victor is 30 years old.

<h3>How old is Victor now?</h3>

Let's say that Victor is x years old.

We know that 10 years ago, (x - 10), his age was half of what it will be in 10 years (x + 10).

Then we can write the linear equation:

(x - 10) = (x + 10)/2

Now we can solve that equation for x:

2*(x - 10) = x + 10

2x - 20 = x + 10

2x - x = 10 + 20

x = 30

So we conclude that Victor is 30 years old.

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

3 0

2 years ago

3. Write the equation of a line in slope-intercept form that passes through (9, 4) and is

konstantin123 [22]

⭐️- Remember that slope formula is y=mx+b

1. Know that the m is (-3)
2. 4=(-3)(9)+b
3. 4=(-27)+b
4. b=31
5. y=(-3x)+31
6. y=3x-31*

*whenever it is finding a perpendicular, you switch the signs; when it is finding a parallel, you leave it alone

8 0

3 years ago

The population of a town is increasing by 2% each year. If the population today is 40,000, what

UkoKoshka [18]

Answer:

46,400

Step-by-step explanation:

present population =40,000

2% of 40,000 =800

for each year it increases by 800

in 8 years time =(8*800) +40,000

=46,400

5 0

3 years ago

708.97 as a fraction

Soloha48 [4]

Ok done. Thank to me :>

4 0

3 years ago