A multinomial experiment produced the following results: (You may find it useful to reference the appropriate table: chi-square table or F table) Category 1 2 3 Frequency 262 121 37 a. Choose the appropriate alternative hypothesis at Ho: P1 = 0.60, P2 = 0.30, and p3 = 0.10. All population proportions differ from their hypothesized values. O At least one of the population proportions differs from its hypothesized value. b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statisticTest statistic c. Find the p-value. O p-value 2 0.10 O 0.05 s p-value