Deck 8: Inferences About Proportions

Question 1

A restaurant owner wants to determine if the same proportion of individuals select Pepsi versus Coke. She keeps count of the number of people who order Pepsi and Coke on randomly selected days thus information for only one nominally scaled variable (two levels: Pepsi or Coke) is collected. Which statistical procedure is most appropriate to use to test the hypothesis?

A) chi square goodness of fit test
B) chi square test of association

Answer 1

A

Question 2

Eden wants to determine if the same proportion of students become involved in Greek life as compared to students who do not become involved in Greek life. She randomly samples 500 college students on her campus and determines which are involved in Greek life. Thus information for only one nominally scaled variable (two levels: Greek or non-Greek) is collected. Which statistical procedure is most appropriate to use to test the hypothesis?

A) chi square goodness of fit test
B) chi square test of association

Answer 2

A

Question 3

Oscar wants to know whether a person's music preferences are related to the region of the country in which he or she resides. He randomly samples 10,000 adults nationwide and collects data on two variables: 1) music preference, a nominal variable with three levels (country, jazz, pop); and region, a nominal variable with four levels (north, south, east, west). Which statistical procedure is most appropriate to use to test the hypothesis?

A) chi square goodness of fit test
B) chi square test of association

Answer 3

B

Question 4

Malani wants to determine if the same proportion of professional chefs attend chef school in America as compared to attending chef school abroad. She randomly samples 250 professional chefs and determines where they attended chef school (America vs. abroad; nominal variable with two levels). Which statistical procedure is most appropriate to use to test the hypothesis?

A) chi square goodness of fit test
B) chi square test of association

Question 5

Matthew wants to know whether food preferences are related to the region of the country in which he or she resides and more specifically if the same proportions of people select different types of food in the different regions. He randomly samples 800 adults nationwide and collects data on two variables: 1) food preference, a nominal variable with two levels (American, ethnic); and region, a nominal variable with four levels (north, south, east, west). Which statistical procedure is most appropriate to use to test the hypothesis?

A) chi square goodness of fit test
B) chi square test of association

Question 6

Luke wants to know if the same proportion of scuba divers prefer east coast diving destinations as compared to west coast diving destinations when selecting where to vacation. He randomly samples 500 scuba divers and determines which coast they prefer (east vs. west coast; nominal measurement scale). Which statistical procedure is most appropriate to use to test the hypothesis?

A) chi square goodness of fit test
B) chi square test of association

Question 7

Dedra hypothesizes that the proportion of people selecting outdoor as compared to indoor exercise will differ based on the climate where they reside. She randomly samples 100 adults who subscribe to a national health magazine and collects data on two variables: 1) exercise preference, a nominal measurement scale with two categories (outdoor exercise or indoor exercise); and climate, an ordinal variable with three categories (mild, moderate, severe). Which statistical procedure is most appropriate to use to test the hypothesis?

A) chi square goodness of fit test
B) chi square test of association

Question 8

How many degrees of freedom are there in a 2 x 3 contingency table when the chi-square test of association is used?

A) 1
B) 2
C) 3
D) 6

Question 9

How many degrees of freedom are there in a 4 x 5 contingency table when the chi-square test of association is used?

A) 4
B) 5
C) 12
D) 20

Question 10

How many degrees of freedom are there in a 3 x 6 contingency table when the chi-square test of association is used?

A) 3
B) 6
C) 10
D) 18

Question 11

How many degrees of freedom are there in a 2 x 5 contingency table when the chi-square test of association is used?

A) 2
B) 4
C) 5
D) 10

Question 12

A contingency table contains 4 rows and 3 columns. How many cells are in this table?

A) 3
B) 4
C) 6
D) 12

Question 13

A contingency table contains 2 rows and 5 columns. How many cells are in this table?

A) 2
B) 4
C) 5
D) 10

Question 14

A contingency table contains 3 rows and 6 columns. How many cells are in this table?

A) 3
B) 6
C) 10
D) 18

Question 15

Which of the following is a correct interpretation of Cohen's w = .12?

A) Small effect
B) Moderate effect
C) Large effect
D) Statistical significance at .10
E) Not statistically significant at .10

Question 16

Which of the following is a correct interpretation of Cohen's w = .09?

A) Small effect
B) Moderate effect
C) Large effect
D) Statistical significance at .10
E) Not statistically significant at .10

Question 17

Which of the following is a correct interpretation of Cohen's w = .29?

A) Small effect
B) Moderate effect
C) Large effect
D) Statistical significance at .05
E) Not statistically significant at .05

Question 18

Which of the following is a correct interpretation of Cohen's w = .35?

A) Small effect
B) Moderate effect
C) Large effect
D) Statistical significance at .05
E) Not statistically significant at .05

Question 19

Which of the following is a correct interpretation of Cohen's w = .65?

A) Small effect
B) Moderate effect
C) Large effect
D) Statistical significance at .05
E) Not statistically significant at .05

Question 20

Which of the following standardized residuals is contributing to a statistically significant chi-square statistic, given an alpha of .05?

A) -1.00
B) -.50
C) +1.70
D) +3.20
E) None of the above

Question 21

Which of the following standardized residuals is contributing to a statistically significant chi-square statistic, given an alpha of .05?

A) -2.30
B) -.04
C) +1.05
D) +1.70
E) None of the above

Question 22

Which of the following standardized residuals is contributing to a statistically significant chi-square statistic, given an alpha of .05?

A) -2.30
B) -.04
C) +1.05
D) +1.70
E) None of the above

Question 23

Which of the following standardized residuals is contributing to a statistically significant chi-square statistic, given an alpha of .05?

A) -0.90
B) -.15
C) +0.95
D) +1.36
E) None of the above

Question 24

Which of the following standardized residuals is contributing to a statistically significant chi-square statistic, given an alpha of .01?

A) -2.30
B) -.04
C) +1.05
D) +1.70
E) None of the above

Question 25

Which of the following standardized residuals is contributing to a statistically significant chi-square statistic, given an alpha of .01?

A) -2.50
B) -1.50
C) +0.04
D) +2.75
E) None of the above

Question 26

For a random sample of 20 children, 18 attended preschool and 2 did not attend preschool. Test the following hypotheses at the .05 level of significance:

Question 27

For a random sample of 25 students, 20 passes the exam and 5 did not attend pass the exam. Test the following hypotheses at the .01 level of significance:

Question 28

A chi-square goodness-of-fit test is to be conducted to determine whether the sample proportions of soda drinkers (three categories including Pepsi, Coca-Cola, other) differ from the proportions reported nationally. The chi-square test statistic is equal to 6.500. Determine the result of this test by looking up the critical value and making a statistical decision, using alpha = .05.

Question 29

A chi-square goodness-of-fit test is to be conducted to determine whether the sample proportions of employees (four categories including: part-time less than 10 hours, part-time 10-20 hours, part-time 21-30 hours, full-time) differ from the proportions reported nationally. The chi-square test statistic is equal to 10.250. Determine the result of this test by looking up the critical value and making a statistical decision, using alpha = .01.

Question 30

Lilo wants to know if equal proportions of students in her class know how to surf as compared to do not know how to surf. She randomly samples 50 students in her class and asks them if they know how to surf (yes or no). Twenty students indicate 'no,' that they do not know how to surf while 30 students indicate 'yes,' they do know how to surf. Using SPSS, conduct the appropriate statistical procedure at alpha of .05. Interpret the output including identifying the specific statistical procedure that has been used and reporting the extent to which the test is statistically significant. Include appropriate evidence (e.g., values from the output).