Only need answer to B and C Consider a multinomial experiment with n = 356 and k

Question

Only need answer to B and C

Consider a multinomial experiment with n = 356 and k = 4. The null hypothesis to be tested is H0: p1 = p2 = p3 = p4 = 0.25. The observed frequencies resulting from the experiment are (Use Table 3):

Calculate the critical value at the 5% significance level. (Round your answer to 3 decimal places.)

Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

Only need answer to B and C

Consider a multinomial experiment with n = 356 and k = 4. The null hypothesis to be tested is H0: p1 = p2 = p3 = p4 = 0.25. The observed frequencies resulting from the experiment are (Use Table 3):

Explanation / Answer

Ans:

a)

Not all population proportions are equal to 0.25.

b)df=4-1=3

critical chi square value=CHIINV(0.05,3)=7.815

c)Expected count=356/4=89

Test statistic=15.44

d)

Reject H0 since the value of the test statistic exceeds the critical value.

Category Observed(O) Expected(E) (O-E)^2/E 1 107 89 3.64 2 58 89 10.80 3 97 89 0.72 4 94 89 0.28 Total 356 356 15.44

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