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(1 point) 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 77 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 66 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. SD of time to file Return Type Population 1: Federal Population 2: State Mean time to file 58.3 minutes 14 minutes 61.7 minutes 16.7 minutes 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 H1 H₂ Vs. H₁ H1 H₂ B. Ho H1 H2 vs. H₂ Hy <H₂ H₂ C. Ho H1 H₂ vs. H₂H₁ OD. Ho H158.3 vs. H.: 61.7 2. Which conditions must hold for inferential procedures to be valid for this scenario? Select all that apply. A. The two sample groups must be independent of each other. B. The expected count for each level of the categorical variable must be at least 5. C. The data distribution for both federal and state tax filing times must be normally distributed or each sample size must be larger than 30. D. The observations within each sample must be independent. E. The histogram of the residuals must be normally distributed. 3. Calculate the appropriate test statistic t -1.3066 4. Calculate the p-value using 127.368275 degrees of freedom. p-value=
2. Which conditions must hold for inferential procedures to be valid for this scenario? Select all that apply. A. The two sample groups must be independent of each other. B. The expected count for each level of the categorical variable must be at least 5. C. The data distribution for both federal and state tax filing times must be normally distributed or each sample size must be larger than 30. D. The observations within each sample must be independent. E. The histogram of the residuals must be normally distributed. 3. Calculate the appropriate test statistic. t -1.3066 4. Calculate the p-value using 127.368275 degrees of freedom. p-value= 5. Which of the following is a correct interpretation of the p-value? A. 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. The p-value is the probability that the mean tax filing times for Federal and Michigan tax returns are equal. OC. The p-value is the power of a hypothesis test if the alternate hypothesis is true. D. In repeated sampling, we have little evidence that the null hypothesis is a good fit for our observed difference. 6. Use the data to construct a 95% confidence interval for the true difference, 1-2 Help Entering Answers Preview My Answers Submit Answers