Homework Help is Here – Start Your Trial Now!
Math
Statistics
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 109 traffic fatalities in a certain region results in 50 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 = 0.01 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 the requirements for testing the hypothesis ▼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 109 traffic fatalities in a certain region results in 50 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 = 0.01 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 the requirements for testing the hypothesis ▼satisfied.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
**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 109 traffic fatalities in a certain region results in 50 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 = 0.01 level of significance? --- Because np₀(1 - p₀) = [ ] [Dropdown Menu] 10, the sample size is [Dropdown Menu] 5% of the population size, and the sample [Dropdown Menu] the requirements for testing the hypothesis [Dropdown Menu] satisfied. (Round to one decimal place as needed.) **Instructions for Completing Dropdowns:** 1. Fill in the calculations to determine if np₀(1 - p₀) is greater than or equal to 10. 2. Determine if the sample size is less than 5% of the population size. 3. Conclude if the sample meets the requirements for hypothesis testing.
Transcribed Image Text:**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 109 traffic fatalities in a certain region results in 50 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 = 0.01 level of significance? --- Because np₀(1 - p₀) = [ ] [Dropdown Menu] 10, the sample size is [Dropdown Menu] 5% of the population size, and the sample [Dropdown Menu] the requirements for testing the hypothesis [Dropdown Menu] satisfied. (Round to one decimal place as needed.) **Instructions for Completing Dropdowns:** 1. Fill in the calculations to determine if np₀(1 - p₀) is greater than or equal to 10. 2. Determine if the sample size is less than 5% of the population size. 3. Conclude if the sample meets the requirements for hypothesis testing.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 7 steps with 10 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
According to a government agency for a large country, the proportion of fatal traffic accidents involving drivers with a positive blood alcohol concentration (BAC) is 0.34. Suppose a random sample of 109 traffic fatalities in a certain region results in 50 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 = 0.01 level of significance? **Sample Size Check:** Because \( n p_0 (1 - p_0) = 24.5 > 10 \), 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. **Hypotheses:** - Null Hypothesis (\( H_0 \)): \( p = 0.34 \) - Alternative Hypothesis (\( H_1 \)): \( p > 0.34 \) *Type integers or decimals. Do not round.* **Test Statistic Calculation:** \( z_0 = 2.62 \) *(Round to two decimal places as needed.)* **P-Value:** P-value = \[ \ \] *(Round to three decimal places as needed.)*
Transcribed Image Text:According to a government agency for a large country, the proportion of fatal traffic accidents involving drivers with a positive blood alcohol concentration (BAC) is 0.34. Suppose a random sample of 109 traffic fatalities in a certain region results in 50 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 = 0.01 level of significance? **Sample Size Check:** Because \( n p_0 (1 - p_0) = 24.5 > 10 \), 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. **Hypotheses:** - Null Hypothesis (\( H_0 \)): \( p = 0.34 \) - Alternative Hypothesis (\( H_1 \)): \( p > 0.34 \) *Type integers or decimals. Do not round.* **Test Statistic Calculation:** \( z_0 = 2.62 \) *(Round to two decimal places as needed.)* **P-Value:** P-value = \[ \ \] *(Round to three decimal places as needed.)*
Solution
Bartleby Expert
SEE SOLUTION
Follow-up Question
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 109 traffic fatalities in a certain region results in 50 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 = 0.01 level of significance? --- Because \( np_0 (1 - p_0) = 24.5 > 10 \), 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. What are the null and alternative hypotheses? \( H_0: \, p = 0.34 \) versus \( H_1: \, p > 0.34 \) (Type integers or decimals. Do not round.) Find the test statistic, \( z_0 \). \( z_0 = \) _____ (Round to two decimal places as needed.)
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 109 traffic fatalities in a certain region results in 50 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 = 0.01 level of significance? --- Because \( np_0 (1 - p_0) = 24.5 > 10 \), 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. What are the null and alternative hypotheses? \( H_0: \, p = 0.34 \) versus \( H_1: \, p > 0.34 \) (Type integers or decimals. Do not round.) Find the test statistic, \( z_0 \). \( z_0 = \) _____ (Round to two decimal places as needed.)
Solution
Bartleby Expert
SEE SOLUTION
Follow-up Question
**Hypothesis Testing for Proportion Problems in Traffic Fatalities** In this example, a government agency reports that for a large country, the proportion of fatal traffic accidents involving drivers with a positive blood alcohol concentration (BAC) is 0.34. We have a random sample of 109 traffic fatalities from a specific region, in which 50 cases involved a positive BAC. The question is whether this region has a higher proportion of such traffic fatalities compared to the entire country, using a significance level of α = 0.01. ### Conditions Verification - **Sample Size Condition**: Calculate \( np_0 (1 - p_0) = 24.5 \). Since this value is greater than 10, the sample size condition is met. - **Population Size Condition**: The sample size is less than 5% of the entire population. - **Random Sampling Condition**: The sample is stated to be random. Since all conditions are satisfied, the hypothesis test requirements are met. ### Hypotheses Formulation - **Null Hypothesis (H₀)**: \( p = 0.34 \) (The proportion of traffic fatalities involving a positive BAC in the region is equal to the national proportion.) - **Alternative Hypothesis (H₁)**: \( p > 0.34 \) (The proportion of traffic fatalities involving a positive BAC in the region is greater than the national proportion.) By conducting this hypothesis test, we aim to determine if the region indeed has a higher incidence of BAC-related traffic fatalities compared to the national average, at a 1% level of significance.
Transcribed Image Text:**Hypothesis Testing for Proportion Problems in Traffic Fatalities** In this example, a government agency reports that for a large country, the proportion of fatal traffic accidents involving drivers with a positive blood alcohol concentration (BAC) is 0.34. We have a random sample of 109 traffic fatalities from a specific region, in which 50 cases involved a positive BAC. The question is whether this region has a higher proportion of such traffic fatalities compared to the entire country, using a significance level of α = 0.01. ### Conditions Verification - **Sample Size Condition**: Calculate \( np_0 (1 - p_0) = 24.5 \). Since this value is greater than 10, the sample size condition is met. - **Population Size Condition**: The sample size is less than 5% of the entire population. - **Random Sampling Condition**: The sample is stated to be random. Since all conditions are satisfied, the hypothesis test requirements are met. ### Hypotheses Formulation - **Null Hypothesis (H₀)**: \( p = 0.34 \) (The proportion of traffic fatalities involving a positive BAC in the region is equal to the national proportion.) - **Alternative Hypothesis (H₁)**: \( p > 0.34 \) (The proportion of traffic fatalities involving a positive BAC in the region is greater than the national proportion.) By conducting this hypothesis test, we aim to determine if the region indeed has a higher incidence of BAC-related traffic fatalities compared to the national average, at a 1% level of significance.
Solution
Bartleby Expert
SEE SOLUTION
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS