A poll of 2,136 randomly selected adults showed that 88% of them own cell phones. The technology display below results from a test of the claim that 91% of adults own cell phones. Use the normal distri 0.05 significance level to complete parts (a) through (e). Test of p=0.91 vs p *0.91 N Sample X 1 2.136 1877 Sample p 0.878745 95% CI Z-Value (0.864902.0.892588) -5.05 a. Is the test two-tailed, left-tailed, or right-tailed? Left-tailed test Right tailed test Two-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? Identify the null hypothesis. OA. Ho:p> 0.91 OB. Ho: p<0.91 OC. Ho: p*0.91 O D. Ho: p=0.91 The P-value is (Round to three decimal places as needed.) d. What is the null hypothesis and what do you conclude about it? P.Value 0.000 Choose the correct answer below. A. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, c. B. Reject the null hypothesis because the P-value is less than or equal to the significance level, a. C. Reject the null hypothesis because the P-value is greater than the significance level, c. D. Fail to reject the null hypothesis because the P-value is greater than the significance level, a e. What is the final conclusion?

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A poll of 2,136 randomly selected adults showed that 88% of them own cell phones. The technology display below results from a test of the claim that 91% of adults own cell phones. Use the normal distribution as an approximation to the binomial distribution, and assume a
0.05 significance level to complete parts (a) through (e).
Test of p=0.91 vs p # 0.91
Sample X
N
2.136
1
1877
Sample p
0.878745
95% CI
(0.864902.0.892588)
a. Is the test two-tailed, left-tailed, or right-tailed?
O
Left-tailed test
O
Right tailed test
O Two-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.
O A. Ho: p>0.91
O B. Ho: p<0.91
O C. Ho: p*0.91
O D. Ho: p=0.91
Z-Value
- 5.05
P-Value
0.000
Choose the correct answer below.
O A. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a.
Reject the null hypothesis because the P-value is less than or equal to the significance level, a.
O C. Reject the null hypothesis because the P-value is greater than the significance level, c.
O B.
O D. Fail to reject the null hypothesis because the P-value is greater than the significance level, a.
e. What is the final conclusion?
C
Transcribed Image Text:A poll of 2,136 randomly selected adults showed that 88% of them own cell phones. The technology display below results from a test of the claim that 91% of adults own cell phones. Use the normal distribution as an approximation to the binomial distribution, and assume a 0.05 significance level to complete parts (a) through (e). Test of p=0.91 vs p # 0.91 Sample X N 2.136 1 1877 Sample p 0.878745 95% CI (0.864902.0.892588) a. Is the test two-tailed, left-tailed, or right-tailed? O Left-tailed test O Right tailed test O Two-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. O A. Ho: p>0.91 O B. Ho: p<0.91 O C. Ho: p*0.91 O D. Ho: p=0.91 Z-Value - 5.05 P-Value 0.000 Choose the correct answer below. O A. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a. Reject the null hypothesis because the P-value is less than or equal to the significance level, a. O C. Reject the null hypothesis because the P-value is greater than the significance level, c. O B. O D. Fail to reject the null hypothesis because the P-value is greater than the significance level, a. e. What is the final conclusion? C
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