Chi-Square Goodness of Fit Test

Front

What is the null hypothesis in a Chi-Square Goodness of Fit Test?

Back

The mixed nut proportions are proportioned the same as they claim.

Front

How do you find degrees of freedom for a Chi-Square Goodness of Fit Test?

Back

Degrees of freedom are calculated as one less than the number of categories.

Front

What does a p-value less than 0.05 indicate in a Chi-Square Goodness of Fit Test?

Back

It indicates that there is evidence to suggest that the observed distribution is significantly different from the expected distribution.

Front

What is the expected frequency for each category in a fair six-sided die?

Back

The expected frequency for each category is 16 when rolling a die 96 times.

Front

How does a calculator determine expected frequencies in a Chi-Square Goodness of Fit Test?

Back

The calculator cannot determine expected frequencies; the student must input both observed and expected frequencies.

Front

What is the purpose of the Chi-Square Goodness of Fit Test?

Back

To determine if the observed frequencies of a categorical variable differ from the expected frequencies.

Front

What is the formula for the Chi-Square statistic?

Back

χ² = Σ((O - E)² / E) where O is the observed frequency and E is the expected frequency.

Front

What does it mean if the Chi-Square statistic is large?

Back

A large Chi-Square statistic suggests that there is a significant difference between observed and expected frequencies.

Front

What is the significance level commonly used in hypothesis testing?

Back

The common significance level used is 0.05.

Front

What are the assumptions of the Chi-Square Goodness of Fit Test?

Back

1. The data should be in frequency counts. 2. The categories should be mutually exclusive. 3. The expected frequency for each category should be at least 5.