Consider a multinomial experiment with n = 350 and k = 3. The null hypothesis is
ID: 3357013 • Letter: C
Question
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 (Use Table 3): 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 2 decimal places.) Test statistic b-2. Approximate the p-value. p-value < 0.005 p-value > 0.100 0.010 < p-value < 0.025 0.050 < p-value < 0.100 0.005 < p-value < 0.010 c. At the 1% significance level, what is the conclusion to the hypothesis test? Reject H0 since the p-value is less than . Reject H0 since the p-value is more than . Do not reject H0 since the p-value is less than . Do not reject H0 since the p-value is more than .
Explanation / Answer
The statistical software output for this problem is:
Chi-Square goodness-of-fit results:
Observed: Oi
Expected: Ei
Hence,
b - 1) Test statistic = 0.44
b - 2) p-value > 0.100
c) Do not reject H0 since the p-value is more than .
N DF Chi-Square P-value 350 2 0.43809524 0.8033Related Questions
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