A multinomial experiment produced the following results (Use Table 3) a. Choose

Question

A multinomial experiment produced the following results (Use Table 3) a. Choose the appropriate alternative hypothesis to test if the population proportions differ. 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 2 decimal places.) c. Specify the decision rule at the 5% significance level. (Round your answer to 3 decimal places.) d. Can we conclude at the 5% significance level that the population proportions are not equal? Yes, since the value of the test statistic is less than the critical value. No, since the value of the test statistic is less than the critical value. Yes, since the value of the test statistic is more than the critical value. No, since the value of the test statistic is more than the critical value.

Explanation / Answer

The statistical software output for this problem is:

Chi-Square goodness-of-fit results:
Observed: Frequency
Expected: All cells in equal proportion

Hence,

a) Option B

b) 0.28

c) 9.488

d) Option B

N DF Chi-Square P-value 470 4 0.27659574 0.9913

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