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Mathematics

11th - 12th Grade

CCSS covered

Used 3+ times

Chi Square Test of Homogeneity
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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Is the distribution of music that Californians listen to the same as that of Nevadans?  900 Californians and 600 Nevadans were surveyed.

Chi-square Goodness of Fit Test
Chi-Square Test for Homogeneity
Chi-Square Test for Independence/Association
Not a Chi-square test

Tags

CCSS.HSS.ID.B.5

CCSS.HSS.IC.A.1

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

What are the expected counts of a female who likes Pepsi?

10.5
11
14.5
6.3

Tags

CCSS.HSS.MD.A.2

3.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Media Image

What are the degrees of freedom for the following χ² test?

6
2
5
36

Tags

CCSS.HSS.CP.A.4

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

In a Chi-Square test, what is the degree of freedom for the table above?

2

4

8

10

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

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.  It was determined that such an increase was needed simply to compensate for the lost support from the state.  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, given that it was the minimum increase necessary to maintain the university's budget at current levels.  The results are in the table provided.  Why hypotheses would be appropriate for performing a chi-square test?

The null hypothesis is that the closer students get to graduation, the less likely they are to be opposed to tuition increases.  The alternative is that how close students are to graduation makes no difference in their opinion.
The null hypothesis is that the mean number of students who are strongly are opposed is the same for each of the 4 years.  The alternative is that the mean is different for at least 2 of the 4 years.
The null hypothesis is that the distribution of student opinion about the proposed tuition increase is the same for each of the 4 years at the university.  The alternative is that the distribution is different for at least 2 of the 4 years.
The null hypothesis is that year in school and student opinion about the tuition increase in the sample are independent.  The alternative is that these variables are dependent.

Tags

CCSS.HSS.CP.A.4

CCSS.HSS.ID.B.5

CCSS.HSS.CP.A.3

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