In performing a chi-square goodness-of-fit test for a normal distribution, a researcher wants to make sure that all of the expected cell frequencies are at least five. The sample is divided into 7 intervals. The second through the sixth intervals all have expected cell frequencies of at least five. The first and the last intervals have expected cell frequencies of 1.5 each. After adjusting the number of intervals, the degrees of freedom for the chi-square statistic is ________.
A) 2
B) 3
C) 5
D) 7

Question

Quizplus · Accepted Answer

The researcher needs to combine the 1st and 2nd intervals together and the 6th and 7th intervals together, because of small frequencies in the 1st and 6th. The new degrees of freedom = 5 − 3 = 2.

In Performing a Chi-Square Goodness-Of-Fit Test for a Normal Distribution