Question

In: Statistics and Probability

A. What is the critical value for a goodness of fit test with 7 categories assuming...

A. What is the critical value for a goodness of fit test with 7 categories assuming α = 5%?

B. A goodness of fit test where the Ho is accepted would have a conclusion of?

C. A goodness of fit test with a test statistic of 2.56 and a critical value of 3.325 would result in a conclusion of?

D. The symbol used for the test statistic in a goodness of fit test is?

Solutions

Expert Solution

A. What is the critical value for a goodness of fit test with 7 categories assuming α = 5%?

For k = 7, df = n-1 , α = 5% = 0.05

Critical value = 12.592

B. A goodness of fit test where the Ho is accepted would have a conclusion of?

When Ho is accepted in goodness of fit test then conclusion is,

The data are consistent with a specified distribution.

C. A goodness of fit test with a test statistic of 2.56 and a critical value of 3.325 would result in a conclusion of?

Here test statisitic value 2.56 is less than the critical value 3.325 hence conclusion is

Fail to reject Ho.

D. The symbol used for the test statistic in a goodness of fit test is?

The symbol :


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