Free Printable AP Stats TPS 11.2 Chi-Square

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Worksheets

AP Stats TPS 11.2 Chi-Square

Total questions: 16

Worksheet time: 16mins

Name

Class

Date

1.

When analyzing results from a two-way table, the main distinction between a test for independence and homogeneity is

a)

how the degrees of freedom are calculated.

b)

how the expected counts are calculated.

c)

the number of samples obtained.

d)

the number of rows in the two-way table.

e)

the number of columns in the two-way table.

2.

Which test would you use to see if the distribution of music that Californians listen to is the same as that of Nevadans? 900 Californians and 600 Nevadans were surveyed.

a)

Chi-square Goodness of Fit Test

b)

Chi-Square Test for Homogeneity

c)

Chi-Square Test for Independence/Association

d)

Not a Chi-square test

3.

Which test would you use to see if gender is a factor choosing a person’s favorite fruit? 900 college students were surveyed and their favorite fruit recorded.

a)

Chi-square Goodness of Fit Test

b)

Chi-Square Test for Homogeneity

c)

Chi-Square Test for Independence/Association

d)

Not a Chi-square test

4.

Which test would you use .... In 1974, each acre of the Tahoe basin was assessed to see what condition the soil was in. 23% of acres were of type I, 32% were of type II, 41% were of type III, and 16% were of type IV. This year the region was assessed again and the number of each type were again determined.

a)

Chi-square Goodness of Fit Test

b)

Chi-Square Test for Homogeneity

c)

Chi-Square Test for Independence/Association

d)

Not a Chi-square test

5.

Which test would you use to see if people on computers and people on handhelds use the same Internet search engines? 1000 web searches from a computer and 1500 web searches from a hand held were tracked to see what search engine was used.

a)

Chi-square Goodness of Fit Test

b)

Chi-Square Test for Homogeneity

c)

Chi-Square Test for Independence/Association

d)

Not a Chi-square test

6.

Which test would you use to see whether the fans that buy tickets are demographically the same as the general population of the city. Currently 42% are Caucasian, 35% are Hispanic, 12% are African American, 8% are Asian, and the rest are defined as other.

a)

Chi-square Goodness of Fit Test

b)

Chi-Square Test for Homogeneity

c)

Chi-Square Test for Independence/Association

d)

Not a Chi-square test

7.

In the formula for Chi Sqare, the O stands for

a)

the sum

b)

the observed frequency

c)

The expected frequency

d)

the p value

8.

: The chi-square statistic is similar to all other test statistics we have discussed in that it compares observed values to values that would be expected if H0 were true.

a)

True

b)

False

9.

The shape of the Chi-Square distribution is ___.

a)

Left Skewed

b)

Right Skewed

c)

Unimodal & Symmetric

d)

Bimodal & Symmetric

10.

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

a)

10.5

b)

11

c)

14.5

d)

6.3

11.

What are the degrees of freedom?

a)

1

b)

2

c)

4

d)

49

12.

Does the data give evidence of an association between gender and soft drink choice?

a)

Yes, we reject the null hypothesis.

b)

No, we fail to reject the null hypothesis

c)

No, we reject the null hypothesis.

d)

Yes, we fail to reject the null hypothesis.

e)

Cannot be determined because the large counts condition is not met.

13.

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

a)

4

b)

8

c)

10

d)

20

e)

4876

14.

The appropriate null hypothesis for performing a chi-square test is that

a)

equal proportions of female and male teenagers are almost certain they will be married in 10 years.

b)

there is no difference between the distributions of female and male teenagers' opinions about marriage in this sample.

c)

there is no difference between the distributions of female and male teenagers' opinions about marriage in the population.

d)

there is no association between gender and opinion about marriage in the sample.

e)

there is no association between gender and opinion about marriage in the population.

15.

What is the value of Chi-Square?

a)

70.25

b)

69.78

c)

6.977

d)

4

16.

Which statement is NOT correct about the chi-square test statistic?

a)

a)A value close to 0 would indicate expected counts are much different from observed counts.

b)

b)A large value of the test statistic would be in support of the alternative hypothesis.

c)

c)A small value of the test statistic would indicate evidence supporting the null hypothesis.

d)

d)The test statistic is the sum of positive numbers and therefore must be positive.

100 %

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