Absentee rates - Friday vs Wednesday: We want to test whether or not more students are absent on Friday afternoon classes than on Wednesday afternoon classes. In a random sample of 292 students with Friday afternoon classes, 58 missed the class. In a different random sample of 297 students with Wednesday afternoon classes, 34 missed the class. The table below summarizes this information. The standard error (SE) is given to save calculation time if you are not using software. Data: total number total number Proportion of Day of absences (x) of students (n) Friday 58 292 0.19863 Wednesday 34 297 0.11448 SE = 0.02992 The Test: Test the claim that the absentee rate on all Friday afternoon classes is greater than the absentee rate on all Wednesday afternoon classes. Use a 0.01 significance level. (a) Letting p, be the absentee rate from the sample on Friday and p2 be the rate from Wednesday, calculate the test statistic using software or the formula z = (P1 - P2) - 6p SE where , is the hypothesized difference in proportions from the null hypothesis and the standard error (SE) given with the data. Round your answer to 2 decimal places. z = (b) What is the P-value of the test statistic? Use the answer found in the z-table or round to 4 decimal places. P-value = (c) What is the critical value of z? Use the answer found in the z-table or round to 3 decimal places. Za = | (d) What is the conclusion regarding the null hypothesis? O reject Ho O fail to reject Ho (e) Choose the appropriate concluding statement. The data supports the claim that the absentee rate on all Friday afternoon classes is greater than the absentee rate on all Wednesday afternoon classes. O There is not enough data to support the claim that the absentee rate on all Friday afternoon classes is greater than the absentee rate on all Wednesday afternoon classes. O We have proven that the absentee rate on all Friday afternoon classes is greater than the absentee rate on all Wednesday afternoon classes. We reject the claim that the absentee rate on all Friday afternoon classes is greater than the absentee rate on all Wednesday afternoon classes