In: Math
An online bookstore predicts that the percentage of college students buying anthropology books online is not equal to 45 %, on average. Several of the bookstore’s client universities would like to know if this is likely, so the online bookstore decides to do a hypothesis test at a 10% significance level. Data is collected from 11 universities providing the following information: H0: μ=45; Ha: μ≠45 x¯=51 σ=4 α=0.1 (significance level) The test statistic is z0=x¯−μ0σn√=51−45411√=4.97 The critical values are −z0.05=−1.64 and z0.05=1.64. Conclude whether to reject or not reject H0, and interpret the results. Based on this context and the null and alternative hypothesis, what type of hypothesis test should be used? Use the curve below to show your answer. Select the appropriate test by dragging the blue point to a right-, left- or two-tailed diagram. The shaded area represents the rejection region. Then, set the critical value(s) on the x-axis by moving the purple slider on the right. Provide your answer below: