Question

A poll of 2,061 randomly selected adults showed that 97% of them own cell phones. The technology display below results from a test of the claim that 94% 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). Show your work. ***Correct answers are in BOLD (how do we get those answers)

Test of p=0.94 vs p≠0.94

X= 1989, N= 2061, Sample p=0.965066, 95% CI=(0.954648, 0.975483), z-value= 4.79, p-value= 0.000

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

b. What is the test statistic? (Round to two decimal places as needed.) 4.79

c. What is the P-value? (Round to three decimal places as needed.) 0.000

d. What is the null hypothesis and what do you conclude about it? H0:p=0.94

Choose the correct answer below:

a. Reject the null hypothesis because the P-value is less than or equal to the significance level

b. Reject the null hypothesis because the P-value is greater than the significance level

c. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level

d. Fail to reject the null hypothesis because the P-value is greater than the significance level

What is the final conclusion?

a. There is not sufficient evidence to warrant rejection of the claim that 94% of adults own a cell phone.

b. There is sufficient evidence to warrant rejection of the claim that 94% of adults own a cell phone.

c. There is sufficient evidence to support the claim that 94% of adults own a cell phone.

d. There is not sufficient evidence to support the claim that 94% of adults own a cell phone

Answer 1