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4. (15 points) A social worker wishes to determine whether the actual number of alcoholic drinks college students have per month follows student perception. A group of students were asked what they expected the distribution of the number of drinks per month to be for a sample of 100 college students, with the results shown in the given table. Additionally, a random sample of 100 college students yielded an actual (observed) distribution of drinks per month and is also displayed in the table. Drinks per Month Observed Expected 0-5 59 41 5 - 10 19 20 10 - 15 11 16 15 - 20 6 12 20 + 5 11 At the 1% significance level, test the claim that the actual distribution of drinks per month is different than student perception. Name: Read this carefully: For the following scenarios, conduct a full hypothesis test where you write down all relevant statistics and parameters, check the conditions required to use the relevant distribution, state the null and alternative hypothesis and which type of test is being used, calculate the test statistic (by hand or using technology), draw and label a picture of the distribution, make a decision based on the classical or P-value approach, and write a conclusion in a complete sentence. Show all your handwritten work to receive credit. You may use a table of values, a graphing calculator, Microsoft Excel, and/or online statistics calculators. It is recommended that you use technology to assist you for this exam more so than for the previous exam. The calculations can be done by hand, but it will take longer