Consider a multinomial experiment with n = 340 and k = 3. The null hypothesis is

Question

Consider a multinomial experiment with n = 340 and k = 3. The null hypothesis is Ho: p1 = 0.40, p2 = 0.40, and p3 = 0.20. The observed frequencies resulting from the experiment are: Category Frequency 160 130 50 2 (Use Table 3) a. Choose the appropriate alternative hypothesis O All population proportions differ from their hypothesized values. O 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 4 decimal places and your final answer to 2 decimal places.) Test statistic b-2. Approximate the p-value. O 0.025

Explanation / Answer

a) option B) is correct

b1)

TS = 9.2647

b2)

p-value =

option E) is correct

c)

p-value < 0.01

hence D) is correct

Oi Ei (Oi-Ei)^2/Ei 0.4 160 136 4.235294118 0.4 130 136 0.264705882 0.2 50 68 4.764705882 340 x^2 9.264705882 crtitcal 5.991465

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