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The table to the right shows the average back-to-school spending of households randomly sampled in 2009 and 2010, along with the population standard deviations and sample sizes for each Sample mean $565.13 $520.51 37 42 sample Sample size Population standard $170 $150 deviation a. Perform a hypothesis test using a = 0. 10 to determine if the average household back-to-school spending in 2009 was different than it was in 2010. b. Determine the p-value and interpret the results. a. Identify the null and alternative hypotheses. Let population 1 = household back-to-school spending in 2009 and let population 2 = household back-to-school spending in 2010. Choose the correct answer below. O A. Ho: H1 - H2= 0 OB. HO: H1 - H2 20 H1: My - H2 # 0 H1 : My - H2 0 Calculate the test statistic. The test statistic is. Round to two decimal places as needed.) Determine the appropriate critical value(s). The critical value(s) is(are). (Use a comma to separate answers as needed. Round to three decimal places as needed.) Reach a decision. Since the test statistic in the rejection region, Ho. There is evidence to conclude that the mean of population 1 is different from the mean of population 2.b. Calculate the pvalue. The pvalue is . (Round to three decimal places as needed.) Interpret the results. Since the pvalue is 7 Hot There is Click to select your answer(s). evidence to conclude that the mean of population 1 is different from the mean of population 2