) What is the value of the sample test statistic? (Test the difference μ1 − μ2. Round your answer to three decimal places.) B) Find (or estimate) the P-value.

A group of 80 students took a statistics Exam in the following scores were recorded68 84 75 82 68 90 62 88 76 93 73 79 88 73 58 93 71 59 58 51 61 65 75 87 74 62 95 78 63 72 66 96 79 65 74 77 95 85 78 86 71 78 78 62 80 67 69 83 76 62 71 75 82 89 67 58 73 74 73 65 81 76 72 75 92 97 57 63 68 83 81 82 53 85 94 52 78 88 77 71 Calculate median exam score

The following table shows the ethnic origins of two random samples of students from a Canadian university, one from 2012 and the other from 2022: European 2012 2022 African Asian 308 58 52 364 100 58 Note: Canadian born students are classified according to their ancestry. (a) What would be an appropriate test to check if there has been an overall change in the distribution of ethnic origins among the student population of that university between 2012 and 2022? Justify your answer. ] Other 22 38 (b) Based on your answer in (a) above, test whether there has been an overall change in the distribution of ethnic origins among the student population of that university between 2012 and 2022. Use a 5% significance level and show your detailed manual calculations and all the steps of your hypothesis test (hypotheses, significance level, expected cell frequencies (rounded to 1 decimal), test statistic, decision criteria, critical value and p-value, conclusion with justification). (Manual…

What percentage of hospitals provide at least some charity care? Based on a random sample of hospital reports from eastern states, the following information is obtained (units in percentage of hospitals providing at least some charity care):