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 110 traffic fatalities in a certain region results in 49 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 α=0.05 level of​ significance?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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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

110

traffic fatalities in a certain region results in

49

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

α=0.05

level of​ significance?

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 110 traffic fatalities in a
certain region results in 49 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 = 0.05 level of significance?
Весause npo (1- Ро)
10, the sample size is
5% of the population size, and the sample
the requirements for testing the hypothesis
satisfied.
%D
(Round to one decimal place as needed.)
What are the null and alternative hypotheses?
Họ:
(Type integers or decimals. Do not round.)
versus H1:
Find the test statistic, zo.
Zo
| (Round to two decimal places as needed.)
%3D
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 > x, 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 110 traffic fatalities in a certain region results in 49 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 = 0.05 level of significance? Весause npo (1- Ро) 10, the sample size is 5% of the population size, and the sample the requirements for testing the hypothesis satisfied. %D (Round to one decimal place as needed.) What are the null and alternative hypotheses? Họ: (Type integers or decimals. Do not round.) versus H1: Find the test statistic, zo. Zo | (Round to two decimal places as needed.) %3D 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 > x, 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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