In a study of high school students at least 16 years of age, researchers obtained survey results summarized in the accompanying table. Use a 0.05 significance level to test the claim of independence between texting while driving and driving when drinking alcohol. Are those two risky behaviors independent of each other? Click the icon to view the table of survey results. Determine the null and alternative hypotheses. Ho: H₂: Determine the test statistic. x² = [ (Round to two decimal places as needed.) Survey Results Texted While Driving No Texting While Driving Drove When Drinking Alcohol? Yes No 741 159 3053 4547 - X

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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In a study of high school students at least 16 years of age, researchers obtained survey results summarized in the accompanying table. Use a 0.05 significance level to test the claim of
independence between texting while driving and driving when drinking alcohol. Are those two risky behaviors independent of each other?
Click the icon to view the table of survey results.
Determine the null and alternative hypotheses.
Ho:
H₁:
Determine the test statistic.
x² =
(Round to two decimal places as needed.)
Determine the P-value of the test statistic.
(Round to three decimal places as needed.)
Do the results suggest that texting while driving and driving while drinking are related?
P-value =
Survey Results
Texted While Driving
No Texting While Driving
Print
Drove When Drinking Alcohol?
Yes
No
741
159
Done
3053
4547
X
A. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that texting while driving happens 95% of the time when driving while drinking alcohol.
B.
Fail to reject the null hypothesis. There is not sufficient evidence at a 0.05 significance level to warrant rejection of the claim of independence between texting while driving and driving while
drinking alcohol. Those two risky behaviors are not related.
C. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that texting while driving happens 95% of the time when driving while drinking alcohol.
D. Reject the null hypothesis. There is sufficient evidence at a 0.05 significance level to warrant rejection of the claim of independence between texting while driving and driving while drinking
alcohol. Those two risky behaviors appear to be somehow related.
Transcribed Image Text:In a study of high school students at least 16 years of age, researchers obtained survey results summarized in the accompanying table. Use a 0.05 significance level to test the claim of independence between texting while driving and driving when drinking alcohol. Are those two risky behaviors independent of each other? Click the icon to view the table of survey results. Determine the null and alternative hypotheses. Ho: H₁: Determine the test statistic. x² = (Round to two decimal places as needed.) Determine the P-value of the test statistic. (Round to three decimal places as needed.) Do the results suggest that texting while driving and driving while drinking are related? P-value = Survey Results Texted While Driving No Texting While Driving Print Drove When Drinking Alcohol? Yes No 741 159 Done 3053 4547 X A. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that texting while driving happens 95% of the time when driving while drinking alcohol. B. Fail to reject the null hypothesis. There is not sufficient evidence at a 0.05 significance level to warrant rejection of the claim of independence between texting while driving and driving while drinking alcohol. Those two risky behaviors are not related. C. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that texting while driving happens 95% of the time when driving while drinking alcohol. D. Reject the null hypothesis. There is sufficient evidence at a 0.05 significance level to warrant rejection of the claim of independence between texting while driving and driving while drinking alcohol. Those two risky behaviors appear to be somehow related.
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