Stats_Chi-Square

In the formula for Chi Square, the O stands for

• the sum

• the observed frequency

• The expected frequency

• the p value

In the formula for Chi Square, the E stands for

• the sum

• the observed frequency

• The expected frequency

• the p value

What is the expected count of a female who likes Pepsi?

• 10.5

• 11

• 14.5

• 6.3

Tags

CCSS.HSS.MD.A.2

What are the degrees of freedom?

• 1

• 2

• 4

• 49

How many degrees of freedom will be present?

• 4
• 5
• 6
• 7

The degrees of freedom for the chi-square test for this two-way table are

• 4

• 8

• 10

• 20

• 4876

Recent revenue shortfalls in a midwestern state led to a reduction in the state budget for higher education. To offset the reduction, the largest state university proposed a 25% tuition increase.

Separate random samples of 50 freshmen, 50 sophomores, 50 juniors, and 50 seniors from the university were asked whether they were strongly opposed to the increase. The results are in the table provided.

What hypotheses would be appropriate for performing a chi-square test? (choose one null and one alternative)

• Null: the mean number of students who agree is the same for each of the 4 years.

• Alternative: the mean number of students who agree is different for at least 1 of the 4 years.

• Null: the distribution of student opinion is the same for each of the 4 years at the university.

• Alternative: the distribution of student opinion is different for at least 1 of the 4 years.

What must be true about the expected values in a chi square test?

• greater than or equal to 2
• greater than or equal to 5
• greater than or equal to 10
• greater than or equal to 30

A chi-square test is used to test whether a 0 to 9 spinner is "fair" (that is, the outcomes are all equally likely).  The spinner is spun 100 times, and the results are recorded.  The expected counts for spinning a 5 will be

• 5
• 10
• 11.1
• 20

Tags

CCSS.HSS.MD.A.2

The three types of Chi square tests are

• goodness of fit

• test of independence

• test of homogeneity

• test of proportions