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Time to file- A citizen's advocacy group is concerned about the amount of time it takes taxpayers to prepare and file their individual federal and state tax returns. They recruit a sample of 40 taxpayers and record the time in minutes it takes to file their federal tax return. Kalin, being a Michigander, wanted to find out whether the time it takes to file a Michigan state tax return is different from the time required to file a federal tax return. Kalin recruits 77 randomly selected Michiganders and records the time in minutes it takes each to file their Michigan state tax return. He decides to conduct a hypothesis test using the results shown in the table below. Round all calculated values in this problem to 4 decimal places. 1. Which set of hypotheses expresses Kalin's research question using appropriate notation? OA. Ho H₂ vs. H₂ H₁ H₂ OB. Ho H₂ vs. H₁ H₁

Time to file- A citizen's advocacy group is concerned about the amount of time it takes taxpayers to prepare and file their individual federal and state tax returns. They recruit a sample of 40 taxpayers and record the time in minutes it takes to file their federal tax return. Kalin, being a Michigander, wanted to find out whether the time it takes to file a Michigan state tax return is different from the time required to file a federal tax return. Kalin recruits 77 randomly selected Michiganders and records the time in minutes it takes each to file their Michigan state tax return. He decides to conduct a hypothesis test using the results shown in the table below. Round all calculated values in this problem to 4 decimal places. 1. Which set of hypotheses expresses Kalin's research question using appropriate notation? OA. Ho H₂ vs. H₂ H₁ H₂ OB. Ho H₂ vs. H₁ H₁

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
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Time to file ~ A citizen's advocacy group is concerned about the amount of time it takes taxpayers to prepare and file their individual federal and state tax returns. They recruit a sample of 40 taxpayers and record the time in minutes it takes to file their federal tax return. Kalin, being a Michigander, wanted to find out whether the time it takes to file a Michigan state tax return is different from the time required to file a federal tax return. Kalin recruits 77 randomly selected Michiganders and records the time in minutes it takes each to file their Michigan state tax return. He decides to conduct a hypothesis test using the results shown in the table below. Round all calculated values in this problem to 4 decimal places. 1. Which set of hypotheses expresses Kalin's research question using appropriate notation? M₂ VS. Ha M₁ > M₂ OA. Ho M₁ OB. Ho M₁ M₂ VS. Ha M₁ <H₂ OC. Ho M₁ M₂ Vs. Ha M₁ # M₂ OD. Ho M1 = 61.3 vs. Ha M1 = 63.6 2. Which conditions must hold for inferential procedures to be valid for this scenario? Select all that apply. 3. Calculate the appropriate test statistic. A. The histogram of the residuals must be normally distributed. B. The data distribution for both federal and state tax filing times must be normally distributed or each sample size must be larger than 30. C. The two sample groups must be independent of each other. D. The expected count for each level of the categorical variable must be at least 5. E. The observations within each sample must be independent. ? V = Return Type Population 1: Federal Population 2: State 4. Calculate the p-value using 71.090159 degrees of freedom. p-value = Mean time to file 61.3 minutes 63.6 minutes SD of time to file 16.4 minutes 14.5 minutes 5. Which of the following is a correct interpretation of the p-value? OA. The p-value is the approximate proportion of time we would see a difference as extreme as our observed difference or something more extreme in repeated sampling under the null model. OB. In repeated sampling, we have little evidence that the null hypothesis is a good fit for our observed difference. OC. The p-value is the power of a hypothesis test if the alternate hypothesis is true. OD. The p-value is the probability that the mean tax filing times for Federal and Michigan tax returns are equal. 6. Use the data to construct a 95% confidence interval for the true difference, ₁ - M₂: ).
Transcribed Image Text:Time to file ~ A citizen's advocacy group is concerned about the amount of time it takes taxpayers to prepare and file their individual federal and state tax returns. They recruit a sample of 40 taxpayers and record the time in minutes it takes to file their federal tax return. Kalin, being a Michigander, wanted to find out whether the time it takes to file a Michigan state tax return is different from the time required to file a federal tax return. Kalin recruits 77 randomly selected Michiganders and records the time in minutes it takes each to file their Michigan state tax return. He decides to conduct a hypothesis test using the results shown in the table below. Round all calculated values in this problem to 4 decimal places. 1. Which set of hypotheses expresses Kalin's research question using appropriate notation? M₂ VS. Ha M₁ > M₂ OA. Ho M₁ OB. Ho M₁ M₂ VS. Ha M₁ <H₂ OC. Ho M₁ M₂ Vs. Ha M₁ # M₂ OD. Ho M1 = 61.3 vs. Ha M1 = 63.6 2. Which conditions must hold for inferential procedures to be valid for this scenario? Select all that apply. 3. Calculate the appropriate test statistic. A. The histogram of the residuals must be normally distributed. B. The data distribution for both federal and state tax filing times must be normally distributed or each sample size must be larger than 30. C. The two sample groups must be independent of each other. D. The expected count for each level of the categorical variable must be at least 5. E. The observations within each sample must be independent. ? V = Return Type Population 1: Federal Population 2: State 4. Calculate the p-value using 71.090159 degrees of freedom. p-value = Mean time to file 61.3 minutes 63.6 minutes SD of time to file 16.4 minutes 14.5 minutes 5. Which of the following is a correct interpretation of the p-value? OA. The p-value is the approximate proportion of time we would see a difference as extreme as our observed difference or something more extreme in repeated sampling under the null model. OB. In repeated sampling, we have little evidence that the null hypothesis is a good fit for our observed difference. OC. The p-value is the power of a hypothesis test if the alternate hypothesis is true. OD. The p-value is the probability that the mean tax filing times for Federal and Michigan tax returns are equal. 6. Use the data to construct a 95% confidence interval for the true difference, ₁ - M₂: ).
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