Use the following information for questions 21 - 27. A researcher collected data from 400 randomly selected families to test her claim that there is a difference in the proportion of rural and urban families who regularly eat dinner together (3 or more family meals per week, uninterrupted by any media). The data is summarized in the two-way table. Urban Families Rural Families Total Surveyed Surveyed Did Have 3 or More 28 82 110 Family Meals Per Week Did Not Have 3 or 122 168 290 More Family Meals Per Week Total 150 250 400 21. State the null and alternative hypotheses. 22. State the proportions of the urban families () and the rural families (P2). Write proportions in percent form, rounded to 1 decimal place 23. Compute the z-test statistic (round to 2 decimal places) and corresponding p-value (round to 3 decimal places) 24. What conclusion is drawn from the hypothesis test at a 0.05 significance level? 25. Compute a 95% confidence interval for the difference between urban and rural families having 3 or more family meals per week. Write interval in percent form, rounded to 1 decimal place. STAT 170 Exam 3 26. Interpret the interval you found in problem 25. Is zero in the interval? 27. Compare your answers from the hypothesis test and the confidence interval. Do you see any similarities between the confidence interval and the hypothesis test?