A researcher conducts a chi-square goodness-of-fit test in which k = 2 and
= 3.92.What is the decision for this test at a .05 level of significance?
A)Retain the null hypothesis.
B)Reject the null hypothesis.
C)There is not enough information to answer this question.

Question

A researcher conducts a chi-square goodness-of-fit test in which k = 2 and 
= 3.92.What is the decision for this test at a .05 level of significance?
A)Retain the null hypothesis. 
B)Reject the null hypothesis. 
C)There is not enough information to answer this question.

Quizplus · Accepted Answer

To determine the decision for the Chi-square goodness-of-fit test, we need to compare the calculated chi-square value with the critical value obtained from the chi-square distribution table with k-1 degrees of freedom. In this case, k=2, so we have one degree of freedom. At a 0.05 level of significance, the critical value is 3.84. Since 3.92 is greater than 3.84, we reject the null hypothesis and conclude that the observed frequencies do not fit the expected frequencies.

A Researcher Conducts a Chi-Square Goodness-Of-Fit Test in Which K