Question 1

The alternative hypothesis for a chi-square test of independence is that

Accepted Answer

A)  observed frequencies will match the frequencies of the population. 
B)  observed frequencies will not be evenly distributed among categories. 
C)  two variables are related. 
D)  two variables are not related. 
A)  observed frequencies will match the frequencies of the population. 
B)  observed frequencies will not be evenly distributed among categories. 
C)  two variables are related. 
D)  two variables are not related.

Question 2

For a "no preference" goodness of fit chi-square test, the null hypothesis specifies that there

Accepted Answer

A)  would be equal observed frequencies in every category. 
B)  would not be equal observed frequencies in every category. 
C)  would be equal expected frequencies in every category. 
D)  would not be equal expected frequencies in every category. 
A)  would be equal observed frequencies in every category. 
B)  would not be equal observed frequencies in every category. 
C)  would be equal expected frequencies in every category. 
D)  would not be equal expected frequencies in every category.

Question 3

If   is negative,

Accepted Answer

A)  the observed frequencies were greater than the expected frequencies. 
B)  the expected frequencies were greater than the observed frequencies. 
C)  use a one-tailed test. 
D)  a mistake has been made. 
A)  the observed frequencies were greater than the expected frequencies. 
B)  the expected frequencies were greater than the observed frequencies. 
C)  use a one-tailed test. 
D)  a mistake has been made.

Question 4

All of the following are true of chi-square tests except the following:

Accepted Answer

A)  The expected frequencies for all categories should be a minimum of 5. 
B)  There are no negative chi-square values. 
C)  Each participant can contribute frequencies to only one category. 
D)  Chi-square is more likely to detect statistical significance than parametric tests. 
A)  The expected frequencies for all categories should be a minimum of 5. 
B)  There are no negative chi-square values. 
C)  Each participant can contribute frequencies to only one category. 
D)  Chi-square is more likely to detect statistical significance than parametric tests.

Question 5

Expected frequency is

Accepted Answer

A)  what would be expected if the null hypothesis is false. 
B)  what would be expected if the null hypothesis is true. 
C)  the difference between observed and actual frequencies. 
D)  the difference between the chi-square value and the actual frequencies. 
A)  what would be expected if the null hypothesis is false. 
B)  what would be expected if the null hypothesis is true. 
C)  the difference between observed and actual frequencies. 
D)  the difference between the chi-square value and the actual frequencies.

Question 6

The ___________ the difference between the observed and expected frequency, the _____________ the likely it is that the null hypothesis will be rejected.

Accepted Answer

A)  greater; more 
B)  smaller; more 
C)  greater; less 
D)  The difference between observed and expected frequencies has no influence on whether the null hypothesis is rejected. 
A)  greater; more 
B)  smaller; more 
C)  greater; less 
D)  The difference between observed and expected frequencies has no influence on whether the null hypothesis is rejected.

Question 7

If the alternative hypothesis of a chi-square test is supported, should be

Accepted Answer

A) 0 B) > 0 C) < 0 D) either "b" or "c." A) 0 B) > 0 C) < 0 D) either "b" or "c."

Question 8

What is meant by expected frequencies?

Accepted Answer

Expected frequencies are the f

Question 9

A one-way chi-square goodness of fit test has df = 5 and n = 250. The variable being examined consisted of __________ categories.

Accepted Answer

A)  4 
B)  5 
C)  6 
D)  50 
A)  4 
B)  5 
C)  6 
D)  50

Question 10

For a chi-square goodness of fit problem, df is determined by ___________.

Accepted Answer

A)  (R - 1)(C - 1) 
B)  k - 1 
C)  n - 1 
D)  n - 2 
A)  (R - 1)(C - 1) 
B)  k - 1 
C)  n - 1 
D)  n - 2

Question 11

In a chi-square test, the sum of the observed frequencies should be equal to

Accepted Answer

A)  the sum of the expected frequencies. 
B)  n 
C)  χ² 
D)  Both "a" and "b" are correct. 
A)  the sum of the expected frequencies. 
B)  n 
C)  χ² 
D)  Both "a" and "b" are correct.

Question 12

The chi-square _____________ is used to determine if there is a relationship between two variables.

Accepted Answer

A)  test of independence 
B)  goodness of fit test for no preference 
C)  goodness of fit test for known proportions 
D)  test of predicted frequencies 
A)  test of independence 
B)  goodness of fit test for no preference 
C)  goodness of fit test for known proportions 
D)  test of predicted frequencies

Question 13

The expected frequency for a chi-square goodness of fit test for equal preferences is ______________.

Accepted Answer

A)  (fc)(fr)/n 
B)  k - 1 
C)  n ÷ k 
D)  (R - 1)(C - 1) 
A)  (fc)(fr)/n 
B)  k - 1 
C)  n ÷ k 
D)  (R - 1)(C - 1)

Question 14

The correct symbol for chi-square is __________.

Accepted Answer

A)  r² 
B)  χ² 
C)  r 
D)  1 - χ² 
A)  r² 
B)  χ² 
C)  r 
D)  1 - χ²

Question 15

The null hypothesis for a chi-square test of independence specifies

Accepted Answer

A)  two variables to be independent. 
B)  two variables to be related. 
C)  observed frequencies to match the frequencies in the population. 
D)  equal frequencies in all categories. 
A)  two variables to be independent. 
B)  two variables to be related. 
C)  observed frequencies to match the frequencies in the population. 
D)  equal frequencies in all categories.

Question 16

With what scales of measurement can chi-square be used?

Accepted Answer

Chi-square can be us

Question 17

All of the following are true of chi-square tests except the following:

Accepted Answer

A)  It measures the amount of discrepancy between observed and expected frequencies. 
B)  Participants can contribute to more than one category. 
C)  Nominal level data may be used. 
D)  Ordinal level data may be used. 
A)  It measures the amount of discrepancy between observed and expected frequencies. 
B)  Participants can contribute to more than one category. 
C)  Nominal level data may be used. 
D)  Ordinal level data may be used.

Question 18

Participants in a national survey were asked if they believe that public school teachers are paid too much, the right amount, or too little. The results were as follows:
Too much - 16%
The right amount - 23%
Too little - 57%
No response - 4%
A random sample of n = 328 residents of a particular community was asked about the same issue. What would the expected frequencies be for each category if the null hypothesis is true?

Accepted Answer

Too much - .16 x 328 = 52.48
T

Question 19

A chi-square goodness of fit test was conducted with α = .01. The sample size was 180 spread over six categories. was 12.94 and was 15.086. Which of the following is correct for reporting the results?

Accepted Answer

A) Reject H₀, χ² (5 df, n = 180) = 12.94, p .01. C) Fail to reject H₀, χ² (5 df, n = 180) = 15.086, p > .01. D) Reject H₀, χ² (n = 179) = 15.86, p < .01. A) Reject H₀, χ² (5 df, n = 180) = 12.94, p .01. C) Fail to reject H₀, χ² (5 df, n = 180) = 15.086, p > .01. D) Reject H₀, χ² (n = 179) = 15.86, p < .01.

Question 20

A history instructor wondered about the effectiveness of graded quizzes over material that students were supposed to read prior to class. For one of his sections, quizzes were administered and graded. For another section, the same quizzes were administered but instead of counting toward their grade, students simply used them as practice for exams. Final grade distributions for both sections are shown in the table below. Is there a relationship between final grades and whether quizzes are graded or used for practice? Conduct a chi-square test of independence using α = .05.

Accepted Answer

Step 1:
H₀: Final grades and type of qui

The alternative hypothesis for a chi-square test of independence is that

For a "no preference" goodness of fit chi-square test, the null hypothesis specifies that there

If is negative,

All of the following are true of chi-square tests except the following:

Expected frequency is

The _ the difference between the observed and expected frequency, the ___ the likely it is that the null hypothesis will be rejected.

If the alternative hypothesis of a chi-square test is supported, should be

What is meant by expected frequencies?

A one-way chi-square goodness of fit test has df = 5 and n = 250. The variable being examined consisted of __________ categories.

For a chi-square goodness of fit problem, df is determined by ___________.

In a chi-square test, the sum of the observed frequencies should be equal to

The chi-square _____________ is used to determine if there is a relationship between two variables.

The expected frequency for a chi-square goodness of fit test for equal preferences is ______________.

The correct symbol for chi-square is __________.

The null hypothesis for a chi-square test of independence specifies

With what scales of measurement can chi-square be used?

All of the following are true of chi-square tests except the following:

A chi-square goodness of fit test was conducted with α = .01. The sample size was 180 spread over six categories. was 12.94 and was 15.086. Which of the following is correct for reporting the results?

Organizing Data Using Tables and Graphs

Measures of Central Tendency

Measures of Variability

Z-Scores and Other Standard Scores

Probability and the Normal Distribution

Sampling Distribution of Means

Hypothesis Testing

One-Sample T-Test

Two-Sample T-Test: Independent Samples Design

Two-Sample T-Test: Related Samples Design

Confidence Interval Versus Point Estimation

One-Way Analysis of Variance

Factorial Analysis of Variance

Correlation and Regression

Introduction to Statistics

Nonparametric Statistics for Ordinal Data

Filters

Exam 16: Chi-Square

The alternative hypothesis for a chi-square test of independence is that

For a "no preference" goodness of fit chi-square test, the null hypothesis specifies that there

If is negative,

All of the following are true of chi-square tests except the following:

Expected frequency is

The ___________ the difference between the observed and expected frequency, the _____________ the likely it is that the null hypothesis will be rejected.

If the alternative hypothesis of a chi-square test is supported, should be

What is meant by expected frequencies?

A one-way chi-square goodness of fit test has df = 5 and n = 250. The variable being examined consisted of __________ categories.

For a chi-square goodness of fit problem, df is determined by ___________.

In a chi-square test, the sum of the observed frequencies should be equal to

The chi-square _____________ is used to determine if there is a relationship between two variables.

The expected frequency for a chi-square goodness of fit test for equal preferences is ______________.

The correct symbol for chi-square is __________.

The null hypothesis for a chi-square test of independence specifies

With what scales of measurement can chi-square be used?

All of the following are true of chi-square tests except the following:

A chi-square goodness of fit test was conducted with α = .01. The sample size was 180 spread over six categories. was 12.94 and was 15.086. Which of the following is correct for reporting the results?

Organizing Data Using Tables and Graphs

Measures of Central Tendency

Measures of Variability

Z-Scores and Other Standard Scores

Probability and the Normal Distribution

Sampling Distribution of Means

Hypothesis Testing

One-Sample T-Test

Two-Sample T-Test: Independent Samples Design

Two-Sample T-Test: Related Samples Design

Confidence Interval Versus Point Estimation

One-Way Analysis of Variance

Factorial Analysis of Variance

Correlation and Regression

Introduction to Statistics

Nonparametric Statistics for Ordinal Data

Filters

The _ the difference between the observed and expected frequency, the ___ the likely it is that the null hypothesis will be rejected.