A poll of 2,085 randomly selected adults showed that 93% of them own cell phones. The technology display below results from a test of the claim that 95% 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 = 0.95 vs p # 0.95 Sample X Sample p 0.931415 N 95% CI Z-Value P-Value 1 1942 2,085 (0.917157,0.945673) - 3.89 0.000 a. Is the test two-tailed, left-tailed, or right-tailed? O Right tailed test O Left-tailed test O Two-tailed test

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b. What is the test​ statistic?

c. What is the​ P-value?

d. Identify the null hypothesis.

e. What is the final​ conclusion?

A.
There is sufficient evidence to support 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 not sufficient evidence to warrant rejection of 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.

A poll of 2,085 randomly selected adults showed that 93% of them own cell phones. The technology display below results from a test of the claim that 95% 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 = 0.95 vs p#0.95
Sample X
N
Sample p
95% CI
Z-Value
P-Value
1
1942
2,085
0.931415
(0.917157,0.945673)
- 3.89
0.000
a. Is the test two-tailed, left-tailed, or right-tailed?
O Right tailed test
Left-tailed test
Two-tailed test
Transcribed Image Text:A poll of 2,085 randomly selected adults showed that 93% of them own cell phones. The technology display below results from a test of the claim that 95% 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 = 0.95 vs p#0.95 Sample X N Sample p 95% CI Z-Value P-Value 1 1942 2,085 0.931415 (0.917157,0.945673) - 3.89 0.000 a. Is the test two-tailed, left-tailed, or right-tailed? O Right tailed test Left-tailed test Two-tailed test
Choose the correct answer below.
O A. Reject the null hypothesis because the P-value is less than or equal to the significance level, a.
O B. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a.
OC. Reject the null hypothesis because the P-value is greater than the significance level, a.
D. Fail to reject the null hypothesis because the P-value is greater than the significance level, a.
Transcribed Image Text:Choose the correct answer below. O A. Reject the null hypothesis because the P-value is less than or equal to the significance level, a. O B. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a. OC. Reject the null hypothesis because the P-value is greater than the significance level, a. D. Fail to reject the null hypothesis because the P-value is greater than the significance level, a.
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