Question 1

A university has implemented a training program to educate incoming students about the problem of sexual assault on campus. A sample of students was selected from the new student population and tested for whether they thought the instructor taught the material effectively. Are instructor evaluations related to a student's program of study? Using the five-step model and an alpha level of 0.05, write a sentence or two interpreting your results.
Evaluation Major Total
Social Sciences Sciences/
Engineering Business
Instructor taught very well 36 23 17 76
Instructor taught adequately 20 17 16 53
Instructor taught poorly 10 18 36 64
Total 66 58 69 193

Accepted Answer

The answer of A university has implemented a training program...

Question 2

A researcher wishes to compare criminal defendants from three self-reported social classes (lower, middle, and upper) on the outcomes of their criminal trial (guilty vs. innocent). What would be the degrees of freedom for conducting a chi square test?

Accepted Answer

A)  2 
B)  3 
C)  6 
D)  12

Question 3

If row marginal = 75, column marginal = 12, and n = 50, what is the expected frequency?

Accepted Answer

A)  1.74 
B)  18 
C)  180 
D)  850

Question 4

In a research study conducted to determine whether owning a pet was related to high life satisfaction, the chi square critical score was 3.84 and the chi square test statistic was 28.5. Which of the following can be concluded from these results?

Accepted Answer

A)  The probability of getting these results by random chance alone is 0.5. 
B)  Pet ownership causes higher life satisfaction. 
C)  The variables are independent. 
D)  The variables are dependent.

Question 5

If a null hypothesis that is in fact true has been rejected, then which of the following is indicated?

Accepted Answer

A)  A Type II error has been made. 
B)  A correct decision has been made. 
C)  A one-tailed test should have been used. 
D)  A Type I error has been made.

Question 6

A researcher reports a ÷2 (obtained) of 67.14 (á = 0.05, df = 2, ÷2 (critical) = 3.84, n = 16,987). The researcher claims that the relationship is statistically significant. Which of these issues should be raised?

Accepted Answer

A)  The sample size is very large; therefore, the actual relationship between the variables might be trivial. 
B)  The value for ÷2 (critical) is much too low. 
C)  The degrees of freedom are much too small for a sample this large. 
D)  The test is using an unconventional alpha level.

Question 7

An obtained chi square of 9.53 was calculated and the critical chi square was 18.48. What should be concluded from these results?

Accepted Answer

A)  The information is incomplete; nothing can be concluded. 
B)  The variables are independent. 
C)  The null hypothesis must be rejected. 
D)  The result is both statistically significant and important.

Question 8

In your own words, define and explain each of the following terms and concepts.
a. null hypothesis
b. Type I (alpha) error
c. sampling distribution

Accepted Answer

The answer of In your own words, define and explain...

Question 9

-Refer to the table. Which of the following is a valid marginal value?

Accepted Answer

A)  7 
B)  9 
C)  26 
D)  35

Question 10

-Refer to the table. The column percentages from this table tell us that what percent of female newborns have low birth weight?

Accepted Answer

A)  (7/86) × 100 = 8.14% 
B)  (9/85) × 100 = 10.58% 
C)  (7/50) × 100 = 14% 
D)  (7/16) × 100 = 43.75%

Question 11

Where would the critical region begin for a chi square test with the alpha level set at 0.05 and with 8 degrees of freedom?

Accepted Answer

A)  at 2.73 
B)  at 11.07 
C)  at 15.51 
D)  at 58.30

Exam 7: Hypothesis Testing With Nominal and Ordinal Variables: CHI Square

A researcher wishes to compare criminal defendants from three self-reported social classes (lower, middle, and upper) on the outcomes of their criminal trial (guilty vs. innocent) . What would be the degrees of freedom for conducting a chi square test?

If row marginal = 75, column marginal = 12, and n = 50, what is the expected frequency?

In a research study conducted to determine whether owning a pet was related to high life satisfaction, the chi square critical score was 3.84 and the chi square test statistic was 28.5. Which of the following can be concluded from these results?

If a null hypothesis that is in fact true has been rejected, then which of the following is indicated?

A researcher reports a ÷² (obtained) of 67.14 (á = 0.05, df = 2, ÷² (critical) = 3.84, n = 16,987) . The researcher claims that the relationship is statistically significant. Which of these issues should be raised?

An obtained chi square of 9.53 was calculated and the critical chi square was 18.48. What should be concluded from these results?

In your own words, define and explain each of the following terms and concepts. a. null hypothesis b. Type I (alpha) error c. sampling distribution

-Refer to the table. Which of the following is a valid marginal value?

-Refer to the table. The column percentages from this table tell us that what percent of female newborns have low birth weight?

Where would the critical region begin for a chi square test with the alpha level set at 0.05 and with 8 degrees of freedom?

Exam 7: Hypothesis Testing With Nominal and Ordinal Variables: CHI Square

A researcher wishes to compare criminal defendants from three self-reported social classes (lower, middle, and upper) on the outcomes of their criminal trial (guilty vs. innocent) . What would be the degrees of freedom for conducting a chi square test?

If row marginal = 75, column marginal = 12, and n = 50, what is the expected frequency?

In a research study conducted to determine whether owning a pet was related to high life satisfaction, the chi square critical score was 3.84 and the chi square test statistic was 28.5. Which of the following can be concluded from these results?

If a null hypothesis that is in fact true has been rejected, then which of the following is indicated?

A researcher reports a ÷2 (obtained) of 67.14 (á = 0.05, df = 2, ÷2 (critical) = 3.84, n = 16,987) . The researcher claims that the relationship is statistically significant. Which of these issues should be raised?

An obtained chi square of 9.53 was calculated and the critical chi square was 18.48. What should be concluded from these results?

In your own words, define and explain each of the following terms and concepts. a. null hypothesis b. Type I (alpha) error c. sampling distribution

-Refer to the table. Which of the following is a valid marginal value?

-Refer to the table. The column percentages from this table tell us that what percent of female newborns have low birth weight?

Where would the critical region begin for a chi square test with the alpha level set at 0.05 and with 8 degrees of freedom?

A researcher reports a ÷² (obtained) of 67.14 (á = 0.05, df = 2, ÷² (critical) = 3.84, n = 16,987) . The researcher claims that the relationship is statistically significant. Which of these issues should be raised?