Practice Test B 1.3 Chi Square Test for Goodness of Fit (9/12/2023)

No dice

The die is fair.

The die is unfair.

The dice do not have numbers on them

There will be more of one number than others.

The proportion of rolls of each number are equal.

The chi square value will be below the critical value.

The proportion of die rolls of each of the six sides are not equal.

If the chi-square value is less than the critical value, reject the null hypothesis.

If the chi-square value is less than the critical value, accept the null hypothesis.

If the chi-square value is greater than the critical value, reject the null hypothesis.

If the chi-square value is greater than the critical value, accept the null hypothesis.

p<0.005

0.005<p<0.01

0.01<p<0.05

0.05<p<0.10

0.10<p<0.20

0.20<p<0.30

0.30<p<0.50

0.50<p<0.70

0.70<p<0.80

0.08<p<0.95

p>0.95

Fail to reject the null hypothesis

Fail to reject the hypothesis

Reject the hypothesis

Accept the hypothesis

Accept the null hypothesis

Reject the null hypothesis

There is a <p-value> probability that the hypothesis is true.

There is a <p-value> probability that the null hypothesis is true.

If the hypothesis is true, there is a probability of <p-value> of obtaining results at least as extreme as our results.

If the null hypothesis is true, there is a probability of <p-value> of obtaining results at least as extreme as our results.

There isn't a <p-value> chance that the hypothesis isn't not false.