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. Observed Expected Category Frequency Frequency A 5 5 C 21 D 17 E 8 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.) x = 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 = The p-value is... O less than (or equal to) a greater than o This t statistic lWhat 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.} 2 x = l; What are the degrees of freedom for this test? What is the p-value for this sample? {Report answer accurate to four decimal places.) p-value = l ' The p-value is... 0 less than (or equal to) cc 0 greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null O accept the alternative As such, the final conclusion is that... 0 There is sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected. 0 There is not sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected. 0 The sample data support the claim that all 5 categories are equally likely to be selected. 0 There is not sufficient sample evidence to support the claim that all 5 categories are equally likely to be selected