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 0.34. Suppose a random sample of 113 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= 0.05 level of significance? Because npo (1-Po)=L 10, the sample size is (Round to one decimal place as needed.) ▼5% of the population size, and the sample can be reasonably assumed to be random, the requirements for testing the hypothesis cannot be reasonably assumed to be random, is given to be random, is given to not be random, satisfied.
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 0.34. Suppose a random sample of 113 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= 0.05 level of significance? Because npo (1-Po)=L 10, the sample size is (Round to one decimal place as needed.) ▼5% of the population size, and the sample can be reasonably assumed to be random, the requirements for testing the hypothesis cannot be reasonably assumed to be random, is given to be random, is given to not be random, satisfied.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
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 0.34. Suppose a random sample of 113 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 α = 0.05 level
of significance?
Because npo (1-Po)
10, the sample size is
(Round to one decimal place as needed.)
5% of the population size, and the sample
can be reasonably assumed to be random,
the requirements for testing the hypothesis
cannot be reasonably assumed to be random,
is given to be random,
is given to not be random,
satisfied.
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Follow-up Questions
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Follow-up Question
Find the P value.
P- value =
(Round to three decimal places as needed)
Solution
by Bartleby ExpertFollow-up Question
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 0.34. Suppose a random
sample of 113 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 x = 0.05 level of significance?
Because npo (1 - Po) = 25.4 > 10, the sample size is
sample
is given to be random,
satisfied.
(Round to one decimal place as needed.)
What are the null and alternative hypotheses?
less than 5% of the population size, and the
the requirements for testing the hypothesis
are
Ho: P = 0.34 versus H₁: p > 0.34
(Type integers or decimals. Do not round.)
Find the test statistic, Zo
Zo = (Round to two decimal places as needed.)
Solution
by Bartleby ExpertFollow-up Question
![**Text Transcription and Explanation:**
**Scenario:**
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 0.34. Suppose a random sample of 113 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 α = 0.05 level of significance?
**Hypothesis Testing:**
- Because \( n p_0 (1 - p_0) = 25.4 \) is greater than 10, the sample size is less than 5% of the population size, and the sample is given to be random, the requirements for testing the hypothesis are satisfied.
*(Round to one decimal place as needed.)*
**Question:**
What are the null and alternative hypotheses?
**Null Hypothesis (\( H_0 \)):**
\[ \text{H}_0: p = 0.34 \]
**Alternative Hypothesis (\( H_1 \)):**
\[ \text{H}_1: p > 0.34 \]
*(Type integers or decimals. Do not round.)*
---
**Explanation:**
This section involves setting up a hypothesis test to determine if the proportion of traffic fatalities involving a positive BAC in a specific region is higher than the national proportion. The null hypothesis assumes no difference, while the alternative suggests an increase. The sample size conditions and other requirements are checked to ensure proper testing methodology.](https://content.bartleby.com/qna-images/question/ac3be618-b645-4bd8-855b-808ff3fc18d4/178c41b4-396f-4e87-8422-da877f5ccf32/1tr2jt7_processed.jpeg)
Transcribed Image Text:**Text Transcription and Explanation:**
**Scenario:**
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 0.34. Suppose a random sample of 113 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 α = 0.05 level of significance?
**Hypothesis Testing:**
- Because \( n p_0 (1 - p_0) = 25.4 \) is greater than 10, the sample size is less than 5% of the population size, and the sample is given to be random, the requirements for testing the hypothesis are satisfied.
*(Round to one decimal place as needed.)*
**Question:**
What are the null and alternative hypotheses?
**Null Hypothesis (\( H_0 \)):**
\[ \text{H}_0: p = 0.34 \]
**Alternative Hypothesis (\( H_1 \)):**
\[ \text{H}_1: p > 0.34 \]
*(Type integers or decimals. Do not round.)*
---
**Explanation:**
This section involves setting up a hypothesis test to determine if the proportion of traffic fatalities involving a positive BAC in a specific region is higher than the national proportion. The null hypothesis assumes no difference, while the alternative suggests an increase. The sample size conditions and other requirements are checked to ensure proper testing methodology.
Solution
by Bartleby ExpertFollow-up Question
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 0.34. Suppose a random sample of 113 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 α = 0.05 level
of significance?
Because npo (1-Po)
10, the sample size is
(Round to one decimal place as needed.)
=
5% of the population size, and the sample
can be reasonably assumed to be random,
the requirements for testing the hypothesis
cannot be reasonably assumed to be random,
is given to be random,
is given to not be random,
satisfied.
Solution
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