A multinomial experiment produced the following results: Choose the appropriate

Question

A multinomial experiment produced the following results: Choose the appropriate alternative hypothesis at H_0: p_1 = 0.60, P_2 = 0.30, and P_3 = 0.10. At least one of the population proportions differs from its hypothesized value. All population proportions differ from their hypothesized values. Calculate the value of the test statistic at H_0: p_1 = 0.60, P_2 = 0.30, and P_3 = 0.10. (Round intermediate calculations to 4 decimal places and your final answer to 2 decimal places.) Test statistic Approximate the p-value. p-value 0.100 0.010

Explanation / Answer

a) option a

b) Perform Chi-sqaured test.

X^2=Summation (Obs-Exp)^2Exp

=(226-216)^2/216+(103-108)^2/108+(31-36)^2/36

=1.39

[Exp (1)=360*0.6=216, (2)=360*0.3=108 and 360*0.1=36]

c) Option b)

d) option d)

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