### Frequencies & Data – Statistic Quiz

The key terms of Statistics chapters include Data, Frequencies, Distribution.

Nonparametric tests are used only with data from a nominal scale.

**False**

For a chi-square test, the expected frequencies are calculated values that are intended to produce a sample that is representative of the null hypothesis.

**True**

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

**False**

Chi-square values are always greater than or equal to zero.

**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**

A chi-square test for goodness of fit is used to examine the distribution of individuals across three categories, and a chi-square test for independence is used to examine the distribution of individuals in a 2X3 matrix of categories. Which test has the larger value for df?

**Both tests have the same df value**

A chi-square test for goodness of fit is used to examine the distribution of individuals across four categories, and a chi-square test for independence is used to examine the distribution of individuals across six categories in a 2X3 matrix of categories. Which test has the larger value for df?

**The test for goodness of fit**

A researcher selects a sample of 100 people to investigate the relationship between gender (male/female) and registering to vote. The sample consists of 40 females, of whom 30 are registered voters, and 60 males, of whom 40 are registered voters. If these data ere used for a chi-square test for independence, what is the observed frequency for registered males?

**40**

Nonparametric tests are used only with data from a nominal scale.

**False**

For a chi-square test, the expected frequencies are calculated values that are intended to produce a sample that is representative of the null hypothesis.

**True**

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

**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**

Chi-square values are always greater than or equal to zero.

**True**

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

**False**

For a linear regression equation, the standard error of estimate is computed using df =

**n – 2**

A researcher classifies college students as either high or low IQ, then measures each student’s grade point average. For the resulting data, which correlation should be used to measure the relationship between IQ and grade point average?

**point-biserial correlation**

Under what circumstances will the chi-square test for goodness of fit produces a large value for chi-square?

Chi-Square Test & Goodness of Fit

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

**Goodness of fit**

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**

Nonparametric tests are used only with data from a nominal scale.

**False**

For a chi-square test, the expected frequencies are calculated values that are intended to produce a sample that is representative of the null hypothesis.

**True**

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

**False**

Chi-square values are always greater than or equal to zero.

**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**