Question

Consider a multinomial experiment with n = 350 and k = 3. The null hypothesis is...

Consider a multinomial experiment with n = 350 and k = 3. The null hypothesis is H0: p1 = 0.60, p2 = 0.30, and p3 = 0.10. The observed frequencies resulting from the experiment are: (You may find it useful to reference the appropriate table: chi-square table or F table)

Category 1 2 3
Frequency 216 100 34

a. Choose the appropriate alternative hypothesis.

  • All population proportions differ from their hypothesized values.

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

b-1. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)

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