Consider multinomial experiment n=260 k=4 null hypothesis p1=p2=p3=p4=0.25. Cate

Question

Consider multinomial experiment n=260 k=4 null hypothesis p1=p2=p3=p4=0.25.
Category. 1. 2. 3. 4 Frequency. 73. 44. 75. 68
B calculate the critical value at 10% significance level

C. Calculate value of test statistic
What is conclusion to hypothesis test? Consider multinomial experiment n=260 k=4 null hypothesis p1=p2=p3=p4=0.25.
Category. 1. 2. 3. 4 Frequency. 73. 44. 75. 68
B calculate the critical value at 10% significance level

C. Calculate value of test statistic
What is conclusion to hypothesis test?
Category. 1. 2. 3. 4 Frequency. 73. 44. 75. 68
B calculate the critical value at 10% significance level

C. Calculate value of test statistic
What is conclusion to hypothesis test?

Explanation / Answer

Ans:

Number of categories=4

So,df=4-1=3

Significance level=0.1

critical value=CHIINV(0.1,3)=6.251

Expected count=260/4=65

Test statistic:

Calculated chi square score=9.446

As,calculated chi square score=9.446>6.251,we reject null hypothesis.

There is suffcient evidence to conclude that the above data does not fit the given distribution.

Observed(O) Expected(E) (O-E)^2/E 1 73 65 0.985 2 44 65 6.785 3 75 65 1.538 4 68 65 0.138 Total 260 260 9.446

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