A poll of 2,088 randomly selected adults showed that 96​% 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 1997 2,088 0.956418 ​(0.944909​,0.967926​) 1.35 0.178

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 16HP
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A poll of
2,088
randomly selected adults showed that
96​%
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
1997
2,088
0.956418
​(0.944909​,0.967926​)
1.35
0.178
a. Is the test two-tailed, left-tailed, or right-tailed?
O Right tailed test
Two-tailed test
O Left-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.)
Transcribed Image Text:a. Is the test two-tailed, left-tailed, or right-tailed? O Right tailed test Two-tailed test O Left-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.)
Identify the null hypothesis.
О А. Но: р> 0.95
О В. Но: р<0.95
О с. Но: р30.95
O D. Ho: p#0.95
Choose the correct answer below.
O A. Fail to reject the null hypothesis because the P-value is greater than 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 less than or equal to the significance level, a.
O D. Reject the null hypothesis because the P-value is greater than the significance level, a.
e. What is the final conclusion?
O A. There is sufficient evidence to support the claim that 95% of adults own a cell phone.
Transcribed Image Text:Identify the null hypothesis. О А. Но: р> 0.95 О В. Но: р<0.95 О с. Но: р30.95 O D. Ho: p#0.95 Choose the correct answer below. O A. Fail to reject the null hypothesis because the P-value is greater than 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 less than or equal to the significance level, a. O D. Reject the null hypothesis because the P-value is greater than the significance level, a. e. What is the final conclusion? O A. There is sufficient evidence to support the claim that 95% of adults own a cell phone.
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