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Consider a multinomial experiment with n = 390 and k = 3. The null hypothesis is

ID: 3218649 • Letter: C

Question

Consider a multinomial experiment with n = 390 and k = 3. The null hypothesis is H0: p1 =0.6, p2 = 0.30, and p3 = 0.10. The observed frequencies resulting from the experiment are (Use Table 3):

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

Consider a multinomial experiment with n = 390 and k = 3. The null hypothesis is H0: p1 =0.6, p2 = 0.30, and p3 = 0.10. The observed frequencies resulting from the experiment are (Use Table 3):

Explanation / Answer

At least one of the population proportions differs from its hypothesized value.

from chi aquare distribution

Approximate the p-value.=p-value < 0.005

Reject H0 since the p-value is less than .

observed Expected Chi square category Probability O E=total*p =(O-E)^2/E 1 0.600 244.00 234.00 0.43 2 0.300 92.00 117.00 5.34 3 0.100 54.00 39.00 5.77 390 390 11.538
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