# Chi Square Tests

1) True or False. The expected frequencies when used in a goodness of fit test are the number of observations that should fall into each class in a frequency distribution under the hypothesized probability distribution.

2) True or False. The chi-square test should not be used if the expected frequency in any cell exceeds 30.

3) Multiple Choice: The chi-square test compares the __________ frequency distribution of the data to the frequency distribution that would be __________ if the null hypothesis were __________.

a. observed, expected, true

b. observed, expected, false

c. expected, observed, true

d. expected, observed, false

4) Multiple Choice: The chi-square goodness of fit test is not recommended whenever any cell size drops below

a. 30

b. 20

c. 10

d. 5

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#### Solution Preview

1) True or False The expected frequencies when used in a goodness of fit test are the number of observations that should fall into each class in a frequency distribution under the hypothesized probability distribution.

TRUE

2) True or False ...

#### Solution Summary

Answers to multiple choice questions on Chi Square Tests have been provided.

Chi Square Hypothesis Test

1. The student population at the state college consists of 55% females and 45% males.

A. A researcher recorded the gender of each student entering the theater and found a total of 385 females and 215 males. Report the chi-square value; do you reject the null hypothesis?

B. The same researcher also recorded the gender of each student watching a men's basketball game in the college gym and found a total of 83 females and 97 males. Report the chi-square value; do you reject the null hypothesis?

2. A researcher obtains information about registered drivers from the department of motor vehicle department reports the percentage of registered drivers in each age category as follows: 16% are under age 20; 28% are 20 to 29 years old; and 56% are age 30 or older. The number of accidents reports for each age group is as follows:

Under Age 20 Age 20-29 Age 30 or Older

68 92 140

A. Calculate and report the chi-square test statistic.

B. Do you reject or fail to reject the null hypothesis?

3. A researcher studies aggression contents in the dreams of men and women. The observed frequencies are:

Low Medium High

Females 18 4 2

Males 4 17 15

A. Calculate and report the chi-square test statistic.

B. Do you reject or fail to reject the null hypothesis?

4. A researcher obtains a sample of 200 students IQ scores and classified them as follows:

High Medium Low

Volunteer 43 73 34

Not Volunteer 7 27 16

A. Calculate and report the chi-square test statistic.

B. Do you reject or fail to reject the null hypothesis?

5. The following hypothetical data represent a sample of 50 individuals diagnosed with sschizophrenia and a sample of 100 people with no psychoric diagnosis. Each individual is also classified according to season in which he or she was born.

Summer Fall Winter Spring

No Disorder 26 24 22 28

Schizophrenia 9 11 18 12

B. Do you reject or fail to reject the null hypothesis?