According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.36. Suppose a random sample of 108 traffic fatalities in a certain region results in 52 that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the a = 0.1 level of significance?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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Chapter11: Data Analysis And Probability
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According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.36. Suppose a random
sample of 108 traffic fatalities in a certain region results in 52 that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the
country at the oa = 0.1 level of significance?
Because npo (1- Po)
10, the sample size is
5% of the population size, and the sample
the requirements for testing the hypothesis
satisfied.
(Round to one decimal place as needed.)
What are the null and alternative hypotheses?
Ho:
(Type integers or decimals. Do not round.)
versus H,:
Find the test statistic, zo.
Zo = (Round to two decimal places as needed.)
Find the P-value.
P-value = (Round to three decimal places as needed.)
Determine the conclusion for this hypothesis test. Choose the correct answer below.
A. Since P-value > a, reject the null hypothesis and conclude that there is sufficient evidence that the region has a higher proportion of traffic fatalities involving a positive BAC than the country.
B. Since P-value < a, do not reject the null hypothesis and conclude that there is not sufficient evidence that the region has a higher proportion of traffic fatalities involving a positive BAC than the country.
O C. Since P-value > a, do not reject the null hypothesis and conclude that there is not sufficient evidence that the region has a higher proportion of traffic fatalities involving a positive BAC than the country.
Transcribed Image Text:According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.36. Suppose a random sample of 108 traffic fatalities in a certain region results in 52 that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the oa = 0.1 level of significance? Because npo (1- Po) 10, the sample size is 5% of the population size, and the sample the requirements for testing the hypothesis satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? Ho: (Type integers or decimals. Do not round.) versus H,: Find the test statistic, zo. Zo = (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) Determine the conclusion for this hypothesis test. Choose the correct answer below. A. Since P-value > a, reject the null hypothesis and conclude that there is sufficient evidence that the region has a higher proportion of traffic fatalities involving a positive BAC than the country. B. Since P-value < a, do not reject the null hypothesis and conclude that there is not sufficient evidence that the region has a higher proportion of traffic fatalities involving a positive BAC than the country. O C. Since P-value > a, do not reject the null hypothesis and conclude that there is not sufficient evidence that the region has a higher proportion of traffic fatalities involving a positive BAC than the country.
According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.36. Suppose a random
sample of 108 traffic fatalities in a certain region results in 52 that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the
country at the a = 0.1 level of significance?
(Type integers or decimals. Do not round.)
Find the test statistic, zo.
Zo = (Round to two decimal places as needed.)
Find the P-value.
P-value = (Round to three decimal places as needed.)
Determine the conclusion for this hypothesis test. Choose the correct answer below.
O A. Since P-value > a, reject the null hypothesis and conclude that there is sufficient evidence that the region has a higher proportion of traffic fatalities involving a positive BAC than the country.
B. Since P-value < a, do not reject the null hypothesis and conclude that there is not sufficient evidence that the region has a higher proportion of traffic fatalities involving a positive BAC than the country.
C. Since P-value > a, do not reject the null hypothesis and conclude that there is not sufficient evidence that the region has a higher proportion of traffic fatalities involving a positive BAC than the country.
O D. Since P-value < a, reject the null hypothesis and conclude that there is sufficient evidence that the region has a higher proportion of traffic fatalities involving a positive BAC than the country.
Transcribed Image Text:According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.36. Suppose a random sample of 108 traffic fatalities in a certain region results in 52 that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the a = 0.1 level of significance? (Type integers or decimals. Do not round.) Find the test statistic, zo. Zo = (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) Determine the conclusion for this hypothesis test. Choose the correct answer below. O A. Since P-value > a, reject the null hypothesis and conclude that there is sufficient evidence that the region has a higher proportion of traffic fatalities involving a positive BAC than the country. B. Since P-value < a, do not reject the null hypothesis and conclude that there is not sufficient evidence that the region has a higher proportion of traffic fatalities involving a positive BAC than the country. C. Since P-value > a, do not reject the null hypothesis and conclude that there is not sufficient evidence that the region has a higher proportion of traffic fatalities involving a positive BAC than the country. O D. Since P-value < a, reject the null hypothesis and conclude that there is sufficient evidence that the region has a higher proportion of traffic fatalities involving a positive BAC than the country.
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