Chi Squared Test for Homogeneity and Independence/Associatio

The following table presents the number of students receiving financial aid by college program from a random sample at a large school in Nebraska.

State the hypotheses for a test of the association between receiving financial aid and college.

• H₀: There is an association between financial aid and college program at the large school in Nebraska.

  H_a: There is no association between financial aid and college program at the large school in Nebraska.

• H₀: There is no association between financial aid and college program at the large school in Nebraska.

  H_a: There is an association between financial aid and college program at the large school in Nebraska.

The following table presents the number of students receiving financial aid by college program from a random sample at a large school in Nebraska.

Calculate the expected counts for a test of the hypotheses stated of the Liberal Arts students who had financial aid

• 58.8

• 62.1

• 63.9

• 65.1

The following table presents the number of students receiving financial aid by college program from a random sample at a large school in Nebraska.

Calculate the value of the chi-square test statistic.

• 4.253

• 6.339

• 7.194

• 8.832

Calculate the degrees of freedom of the following info...

χ 2 = 7.83 for a table with 2 rows and 3 columns

• 1

• 2

• 3

• 4

Calculate the degrees of freedom of the following info...

χ 2 = 7.83 for a table with 5 rows and 3 columns

• 5

• 6

• 7

• 8

Calculate the p-value of the following info...

χ 2 = 7.83 for a table with 2 rows and 3 columns

• .019

• .027

• .045

• .097

Calculate the p-value of the following info...

χ 2 = 24.52 for a table with 5 rows and 3 columns

• .0019

• .0048

• .0089

• .0102

A study was conducted to determine if there is a relationship between smoking habits and socioeconomic status. A simple random sample of 329 adults who have smoked cigarettes was obtained and the data are given in the following two-way table.

What are the appropriate hypotheses for this situation?

• H₀: There is no association between smoking habits and socioeconomic status in adults who have smoked cigarettes. H_a: There is an association between smoking habits and socioeconomic status in adults who have smoked cigarettes.

• H₀: There is an association between smoking habits and socioeconomic status in adults who have smoked cigarettes. H_a: There is no association between smoking habits and socioeconomic status in adults who have smoked cigarettes.

A study was conducted to determine if there is a relationship between smoking habits and socioeconomic status. A simple random sample of 329 adults who have smoked cigarettes was obtained and the data are given in the following two-way table.

Have all conditions been met to do this problem?

• Yes, all conditions have been met.

• No, the sampling was not random

• No, the expected counts are not >5 (Large Counts Condition)

A study was conducted to determine if there is a relationship between smoking habits and socioeconomic status. A simple random sample of 329 adults who have smoked cigarettes was obtained and the data are given in the following two-way table.

What is the expected value for the medium socioeconomic people who currently smoke?

• 51.2

• 48.5

• 46.8

• 42.7

Tags

CCSS.HSS.MD.A.2