27. A poll of 2,069 randomly selected adults showed that 96% 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 p0.93
Sample	X	N	Sample p	95% CI	Z-Value	P-Value
1	1986	2,069	0.959884	(0.948772,0.970996)	5.33	0.000

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

A.Left-tailed test

B.Two-tailed test

C. Right tailed test

b. What is the test statistic?

The test statistic is =

(Round to two decimal places as needed.)

c. What is the P-value?

The P-value is =

(Round to three decimal places as needed.)

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

Identify the null hypothesis.

A.H0: p>0.93

B.H0: p0.93

C.H0: p=0.93

D.H0: p<0.93

Choose the correct answer below.

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

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

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

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

e. What is the final conclusion?

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

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

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

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