Use the following to answer questions :
The table below lists the observed frequencies for all four categories for an experiment.

-The null hypothesis for the goodness-of-fit test is that the proportion of all elements of the population that belong to each of the five categories is the same.The significance level is 5%.What is the critical value of chi-square?
A)11.070
B)12.833
C)11.143
D)9.488

Question

Use the following to answer questions :
The table below lists the observed frequencies for all four categories for an experiment.
 
-The null hypothesis for the goodness-of-fit test is that the proportion of all elements of the population that belong to each of the five categories is the same.The significance level is 5%.What is the critical value of chi-square?
A)11.070 
B)12.833 
C)11.143 
D)9.488

Quizplus · Accepted Answer

For a goodness-of-fit test with 5 categories, the degrees of freedom is 4 (number of categories - 1). At a 5% significance level, the critical value for chi-square with 4 degrees of freedom is 9.488.

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