Please explain your answer Provide an appropriate response A

Please explain your answer

Provide an appropriate response.

A chi-square goodness-of-fit test is to be performed. The relative frequencies for the null hypothesis and the sample size are given. True or false, the assumptions for using a chi-square goodness-of-fit test are satisfied?

Sample size: n = 100
Relative frequencies: 0.38, 0.22, 0.01, 0.37, 0.02

Solution

From relative frequency, we can find expected frequency by multiplying the sample size

Expected frequency values are :

0.38*100 = 38
0.22*100 = 22
0.01*100 = 1
0.37*100 = 37
0.02*100 = 2

So, as can be seen, each frequency is greater than or equal to 1

Since we are given relative frequencies, quite clearly, we are dealing with categorical variables

So, yes, the test can be performed as all the assumptions are satisfied

TRUE