# Critical Hypothesis – Statistic Quiz

### Critical Hypothesis – Statistic Quiz

The key terms in these Statistics chapters include Chi-Square Test, Population, Distribution, Goodness of Fit & The Null Hypothesis, Critical Hypothesis.

What conclusion is appropriate if a chi-square test produces a chi-square statistic near zero?

There a good fit between the sample data and the null hypothesis

What happens to the critical value for a chi-square test if the size of the sample is increased?

The critical value depends on the number of categories, not the sample size

A large value for the chi-square statistic indicates

the sample data (observed values) do not fit the null hypothesis

The term expected frequencies refers to

the frequencies computed from the null hypothesis

The chi-square distribution tends to be symmetrical with a mean of μ = 0.

False

How do you compute df for the chi-square test for goodness of fit?

##### Goodness of fit

What values are specified by the null hypothesis for the chi-square test for goodness of fit?

Proportions for the entire population

What happens to the critical value for a chi-square test if the size of the sample is increased?

The critical value depends on the number of categories, not the sample size

What happens to the shape of the chi-square distribution as the df value increases?

The mode (highest point) of the distribution moves to the right

What conclusion is appropriate if a chi-square test produces a chi-square statistic near zero?

There a good fit between the sample data and the null hypothesis

The chi-square test for goodness of fit evaluates

the shape or proportions for a population distribution

The chi-square test for independence is similar to an independent-measures t test because it can be used to evaluate the difference between two populations or two treatment conditions.

True

For the expected frequencies in a chi-square test for independence, the proportions for any row are exactly the same as the proportions in every other row.

True

A chi-square test should not be used if any observed frequency is less than five.

True

The observed frequencies for a chi-square test can be fractions or decimal values.

False

For a fixed level of significance, the critical value for chi-square decreases as the size of the sample increases.

##### False

A chi-square test for independence produces a chi-square statistic with df = 2. The data for this research study form a 2X2 matrix with four separate categories.

False

For a fixed level of significance, the critical value for chi-square decreases as the size of the sample increases.

##### False

What conclusion is appropriate if a chi-square test produces a chi-square statistic near zero?

There a good fit between the sample data and the null hypothesis

What happens to the critical value for a chi-square test if the size of the sample is increased?

The critical value depends on the number of categories, not the sample size

A large value for the chi-square statistic indicates

the sample data (observed values) do not fit the null hypothesis

The term expected frequencies refers to

the frequencies computed from the null hypothesis

The chi-square distribution tends to be symmetrical with a mean of μ = 0.

False

How do you compute df for the chi-square test for goodness of fit?

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