tab 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. Category A B C D E Observed Frequency 8 = 23 esc 12 (a) Determine the null and alternative hypotheses. 20 O Ho: PA = PB = Pc = PD = PE Ha: At least one proportion is different O Ho: PA = PB = Pc = PD = PE Ha: At least one proportion is different O Ho: The catagories are independent Ha: The categories are dependent 23 1 (b) What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places) x² = Expected Frequency q (c) What are the degrees of freedom for this test? d.f.= (d) What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = (e) Is the p-value less than o? O yes O no 2 1 5 W # 3 e с LA 4 r % 5 t Oll 6 & 7 O * 8 C

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