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 4 5 frequency 63 70 64 65 57 a. choose the appropriate alternative hypothesis to test if the population proportions differ. multiple choice 1 all population proportions differ from 0.20. not all population proportions are equal to 0.20. b. calculate the value of the test statistic. (round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) c. find the p-value. multiple choice 2 p-value picture 0.10 0.05 picture p-value < 0.10 0.025 picture p-value < 0.05 0.01 picture p-value < 0.025 p-value < 0.01 d. can we conclude at the 1% significance level that the population proportions are not equal? multiple choice 3 yes, since the p-value is more than the significance level. no, since the p-value is more than the significance level. yes, since the p-value is less than the significance level. no, since the p-value is less than the significance level.