# What is the relationship between the p value for the

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6.16What is the relationship between the p-value for the specific test for the regression coefficient and the p-value for the general test for the model based on the ANOVA table?
6.17Why? The general test is the same as the specific test when there is only 1 explanatory variable
Practice Final 12 Problem 7 Cross tabulated count data A recent poll surveyed a simple random sample of 100 voters in Washington. Respondents were classified by age group and voting behavior. Use the following results to test the hypothesis that age is independent of voting behavior. OBSERVED Voted Did not vote Total 18 to 28 30 70 29 to 45 50 50 >45 75 25 Total 155 145 7.1 What is the general formula for the expected value of the cell counts under the null hypothesis that voting status is independent of age? ?(???) =?+???+?++Work out the expected values in this table under the null hypothesis that age is independent of voting preference. Show both the formula with plug in values, and solve for the answer. (7.2-7.7) 100 100 100 300 EXPECTED Voted Did not vote Total 18 to 28 52 48 100 29 to 45 52 48 100 >45 52 48 100 Total 155 145 300 7.8 What is the general formula for the contribution of each cell to the Chi-squared statistic? ???2=(???− ???)2???Note: the answers above are shown rounded, as for entry into Aplia, but the zij calculations below should be based on the unrounded answers
Practice Final 13 Work out the squared standardized residuals (zij2) in this table NOTE TO USE THE UNROUNDED EXPECTED VALUES (7.8-7.14) zij2Voted Did not vote 18 to 28 9.1 9.7 29 to 45 0.1 0.1 >45 10.5 11.3 7.1How many degrees of freedom does the Chi-square statistic for this test have? Show the formula with plug in values and the result. (𝑅 − 1)(𝐶 − 1) = (3 − 1)(2 − 1) = 27.2What is the α=0.05 critical value of the Chi-squared distribution for this test? 𝜒
7.3Can you reject the null hypothesis if the sample Chi-square statistic = 50? 8. Basic questions about statistical inference8.1The central limit theorem in statistics is used to infer
8.2P-values in hypothesis tests for a sample mean are based on PDFs of the
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