Consider a multinomial experiment with n = 350 and k = 3. The null hypothesis is H_{0}: p_{1} = 0.60, p_{2} = 0.30, and p_{3} = 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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