10.00 points Consider a multinomial experiment with n- 240 and k-3. The null hyp

Question

10.00 points Consider a multinomial experiment with n- 240 and k-3. The null hypothesis is Ho P 0.45, P2 -0.30 and p3 025. The observed trequencies resulting from the experiment are (Use Table 3 Category12 3 Frequency 130 60 50 a. Choose the appropriate alternative hypothesis O All population proportions differ from their hypothesized values At least one of the population proportions differs from its hypothesized value. b1. Calculate the value of the test statistic (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places) Test statisto b-2. Appraximate the p-value p-value 0.100 0 010 p-value

Explanation / Answer

b-1) applying chi square goodness of fit:

from above test statistic =8.15

b-2)

0.010 >p value >0.025

c) reject Ho snce p value is less than 0.05 level

observed Expected Chi square x Probability(p) Oi Ei=total*p R2i=(Oi-Ei)2/Ei 1 0.450 130.000 108.0 4.48 2 0.300 60.000 72.0 2.00 3 0.250 50.000 60.0 1.67 total 1 240 240 8.15

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