You are conducting a multinomial hypothesis test (a -0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Note: Expected frequency is En-p Category Observed Expected Frequency Frequency A 8 B 22 C 15 D 14 E 7 Report all answers accurate to three decimal places. But retain unrounded numbers for future calculations. What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, and remember to use the unrounded Pearson residuals in your calculations.) x² = What are the degrees of freedom for this test? d.f.- What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value Is the p-value less than a? Oyes O no This test statistic leads to a decision to... Oreject the null O accept the null O fail to reject the null O accept the alternative As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected.