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A sociologist wishes to explore the spending habits of men and women over age 30 for a typical summer weekend in the Northeast. 40 people were surveyed. Test at alpha =1%. The following summary statistics were determined from the sample. Spending habits in dollars a) State the Null and Alternate Hypothesis in symbois and in words. (3pts) b) Calculate the expected results for the hypothesis test sampling distribution, assuming the Null Hypothesis is true. (i.e., name of the sampling distribution, mean and standard error, ASSUME POOLED STANDARD DEVIATIONS) {3pts) Identify the standard distribution that best approximates the sampling distribution. {1ptsl Formulate the decision ruletyou can use either critical test scores or p-values) (3pts) Determine the statistical sample results, i.e., the differences between the sample means, the pooled standard deviation, the standard error, the test statistic, degrees of freedom and p-value. {lptsi Determine the conclusion in terms of the Null and Alternate Hypotheses. What can the sociologist conclude about the spending habits of men and women for a typical summer weekend in the Northeast? 4pts)