drulluna60h
2022-03-09
You are conducting a Goodness of Fit hypothesis test for the claim that all 5 categories are equally likely to be selected. Complete the table. Report all answers correct to three decimal places.
What is the chi-square test-statistic for this data?
At the alpha = 0.05 level, what is the conclusion for this test?
Fail to reject the null hypothesis
Reject the null hypothesis
Report all answers accurate to three decimal places.
Donovan Acevedo
Beginner2022-03-10Added 1 answers
The hypotheses are given below:
Null hypothesis:
: All five categories are equally likely to be selected.
Alternative hypothesis:
: All five categories are not equally likely to be selected.
The chi-square test is appropriate in this situation:”
The test statistic is given below:
Where
Observed frequency
Expected frequency
k=Number of observations
The expected frequency is obtained as given below:
Test statistic
The chi-square test-statistic for this data:
P-value:
The P-value of the sample statistic is obtained using Excel formula.
From EXCEL formula “=CHISQ.DIST.RT(11.5, 4)”, the P-value is 0.021.
Decision rule:
1. If the P-value is less that the significance level, reject the null hypothesis.
2. Otherwise fail to reject the null hypothesis.Conclusion:
Here, the P-value is less than the significance level (=5%).
Therefore, by the decision rule, Reject the null hypothesis.
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