Question

In: Statistics and Probability

A poll of 2017 randomly selected adults showed that 92% of them own cell phones. The...

A poll of 2017 randomly selected adults showed that 92% of them own cell phones. The technology display below results from a test of the claim that 93​% of adults own cell phones. Use the normal distribution as an approximation to the binomial​ distribution, and assume a 0.01 significance level to complete parts​ (a) through​ (e).

Test of p=0.93 vs p≠0.93

Sample

X

N

Sample p

​95% CI

​Z-Value

​P-Value

1

1849

2,017

0.916708

​(0.900860​,0.932556​)

−2.34

0.019

a) Is the test​ two-tailed, left-tailed, or​ right-tailed?

b) What is the test​ statistic?

c) What is the​ P-value?

d) What is the null hypothesis and what do you conclude about​ it?

A. H0: p=0.93

B. H0: p>0.93

C. H0: p≠0.93

D. H0: p less than 0.93

e) Choose the correct answer below.

A. Reject the null hypothesis because the​ P-value is greater than the significance​ level, alpha.

B. Fail to reject the null hypothesis because the​ P-value isgreater than the significance​ level, alpha.

C. Reject the null hypothesis because the​ P-value is less than or equal to the significance​ level, alpha.

D. Fail to reject the null hypothesis because the​ P-value is less than or equal to the significance​ level, alpha.

f) What is the final​ conclusion?

A.There is sufficient evidence to support the claim that 93​% of adults own a cell phone.

B.There is not sufficient evidence to warrant rejection of the claim that 93​% of adults own a cell phone.

C.There is sufficient evidence to warrant rejection of the claim that 93​% of adults own a cell phone.

D. There is not sufficient evidence to support the claim that 93% of adults own a cell phone.

Solutions

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