In a goodness-of-fit test, the null hypothesis states that the data came from a normally distributed population. The researcher estimated the population mean and population standard deviation from a sample of 500 observations. In addition, the researcher used 6 standardised intervals to test for normality. Using a 5% level of significance, the critical value for this test is:
A)11.1433.
B)9.3484.
C)7.8147.
D)9.4877.

Question

Quizplus · Accepted Answer

The critical value for a goodness-of-fit test with 6 intervals and a significance level of 5% is 7.8147, which corresponds to the chi-square distribution with 5 degrees of freedom. This can be found using a chi-square distribution table or a statistical software program.

In a Goodness-Of-Fit Test, the Null Hypothesis States That the Data