Test for Homogeneity Quiz

PDF page 646: The goodness–of–fit test can be used to decide whether a population fits a given distribution, but it will not suffice to decide whether two populations follow the same unknown distribution. A different test, called the test for homogeneity, can be used to draw a conclusion about whether two populations have the same distribution. To calculate the test statistic for a test for homogeneity, follow the same procedure as with the test of independence. NOTE The expected value for each cell needs to be at least five in order for you to use this test.

PDF page 646: Ha: The distributions of the two populations are not the same. Test Statistic 2 Use a χ test statistic. It is computed in the same way as the test for independence. Degrees of Freedom (df) df = number of columns - 1 Requirements All values in the table must be greater than or equal to five. Common Uses Comparing two populations. For example: men vs. women, before vs. after, east vs. west. The variable is categorical with more than two possible response values.

PDF page 646: Ha: The distributions of the two populations are not the same. Test Statistic 2 Use a χ test statistic. It is computed in the same way as the test for independence. Degrees of Freedom (df) df = number of columns - 1 Requirements All values in the table must be greater than or equal to five. Common Uses Comparing two populations. For example: men vs. women, before vs. after, east vs. west. The variable is categorical with more than two possible response values.

PDF page 646: Ha: The distributions of the two populations are not the same. Test Statistic 2 Use a χ test statistic. It is computed in the same way as the test for independence. Degrees of Freedom (df) df = number of columns - 1 Requirements All values in the table must be greater than or equal to five. Common Uses Comparing two populations. For example: men vs. women, before vs. after, east vs. west. The variable is categorical with more than two possible response values.

PDF page 646: The goodness–of–fit test can be used to decide whether a population fits a given distribution, but it will not suffice to decide whether two populations follow the same unknown distribution. A different test, called the test for homogeneity, can be used to draw a conclusion about whether two populations have the same distribution. To calculate the test statistic for a test for homogeneity, follow the same procedure as with the test of independence. NOTE The expected value for each cell needs to be at least five in order for you to use this test.

PDF page 646: The goodness–of–fit test can be used to decide whether a population fits a given distribution, but it will not suffice to decide whether two populations follow the same unknown distribution. A different test, called the test for homogeneity, can be used to draw a conclusion about whether two populations have the same distribution. To calculate the test statistic for a test for homogeneity, follow the same procedure as with the test of independence. NOTE The expected value for each cell needs to be at least five in order for you to use this test.

PDF page 646: Ha: The distributions of the two populations are not the same. Test Statistic 2 Use a χ test statistic. It is computed in the same way as the test for independence. Degrees of Freedom (df) df = number of columns - 1 Requirements All values in the table must be greater than or equal to five. Common Uses Comparing two populations. For example: men vs. women, before vs. after, east vs. west. The variable is categorical with more than two possible response values.

PDF page 646: Ha: The distributions of the two populations are not the same. Test Statistic 2 Use a χ test statistic. It is computed in the same way as the test for independence. Degrees of Freedom (df) df = number of columns - 1 Requirements All values in the table must be greater than or equal to five. Common Uses Comparing two populations. For example: men vs. women, before vs. after, east vs. west. The variable is categorical with more than two possible response values.

PDF page 646: Ha: The distributions of the two populations are not the same. Test Statistic 2 Use a χ test statistic. It is computed in the same way as the test for independence. Degrees of Freedom (df) df = number of columns - 1 Requirements All values in the table must be greater than or equal to five. Common Uses Comparing two populations. For example: men vs. women, before vs. after, east vs. west. The variable is categorical with more than two possible response values.

PDF page 646: Do male and female college students have the same distribution of living arrangements? Use a level of significance of 0.05. Suppose that 250 randomly selected male college students and 300 randomly selected female college students were asked about their living arrangements: dormitory, apartment, with parents, other.

PDF page 647: df = number of columns – 1 = 4 – 1 = 3

PDF page 647: Calculate the test statistic: χ = 10.1287 (calculator or computer)

PDF page 647: Probability statement: p-value = P(χ >10.1287) = 0.0175