Question 1

A contingency table has 5 rows and 4 columns. How many degrees of freedom are there?

Accepted Answer

A)  20 
B)  12 
C)  16 
D)  15 
A)  20 
B)  12 
C)  16 
D)  15 B

Question 2

A random group of seniors was selected from a university and asked about their plans for the following year. The school advising office claims that 60% of the students plan to work, 30% of the students plan to continue in school, and 10% of the students plan to take some time off. Is there evidence to reject this hypothesis at   = 0.05?

Accepted Answer

A)  There is evidence to reject the claim that the students' plans are distributed as claimed because the test value 6.778 > 5.991 
B)  There is not evidence to reject the claim that the students' plans are distributed as claimed because the test value 6.778 > 7.815 
C)  There is evidence to reject the claim that the students' plans are distributed as claimed because the test value 6.778 > 7.815 
D)  There is not evidence to reject the claim that the students' plans are distributed as claimed because the test value 6.778 > 5.991 
A)  There is evidence to reject the claim that the students' plans are distributed as claimed because the test value 6.778 > 5.991 
B)  There is not evidence to reject the claim that the students' plans are distributed as claimed because the test value 6.778 > 7.815 
C)  There is evidence to reject the claim that the students' plans are distributed as claimed because the test value 6.778 > 7.815 
D)  There is not evidence to reject the claim that the students' plans are distributed as claimed because the test value 6.778 > 5.991 A

Question 3

Two allergists recorded the main area of allergy for new patients during a month. At   , test the claim that the allergy diagnosis and the doctor that treated the patients are independent.

Accepted Answer

A)  There is not evidence to reject the claim that the allergy diagnosis and the doctor are not related because the test value 1.839 > 15.507 
B)  There is not evidence to reject the claim that the allergy diagnosis and the doctor are not related because the test value 3.698  3.698 
D)  There is evidence to reject the claim that the allergy diagnosis and the doctor are not related because the test value 15.507 > 1.839 
A)  There is not evidence to reject the claim that the allergy diagnosis and the doctor are not related because the test value 1.839 > 15.507 
B)  There is not evidence to reject the claim that the allergy diagnosis and the doctor are not related because the test value 3.698  3.698 
D)  There is evidence to reject the claim that the allergy diagnosis and the doctor are not related because the test value 15.507 > 1.839 B

Question 4

The chi-square distribution is continuous, whereas the goodness-of-fit test is __________.

Accepted Answer

The answer of The chi-square distribution is continuous, whereas the...

Question 5

The method that uses the formula   is called the __________ correction for continuity.

Accepted Answer

The answer of The method that uses the formula ...

Question 6

The dean of a local school wanted to determine if the grade distribution was independent of the subject matter taught. How many degrees of freedom does this contingency table have?

Accepted Answer

The answer of The dean of a local school wanted...

Question 7

For four degrees of freedom, the value of   shown in the   distribution below is 0.05.

Accepted Answer

A) True 
 B)False

Question 8

A random group of used books was selected from book warehouse to analyze their condition. The book store believes that 20% of the books are in excellent condition, 38% are in very good condition, 15% are in fair condition, and 27% are in poor condition. Is there evidence to reject this hypothesis at   = 0.05?

Accepted Answer

A) There is evidence to reject the claim that the books are distributed as claimed because the test value 16.291 > 7.815 B) There is not evidence to reject the claim that the books are distributed as claimed because the test value 7.815 9.488 D) There is not evidence to reject the claim that the books are distributed as claimed because the test value 9.488 < 16.291 A) There is evidence to reject the claim that the books are distributed as claimed because the test value 16.291 > 7.815 B) There is not evidence to reject the claim that the books are distributed as claimed because the test value 7.815 9.488 D) There is not evidence to reject the claim that the books are distributed as claimed because the test value 9.488 < 16.291

Question 9

A researcher selected a sample of 50 residents from each of three different cities to determine if they were willing to participate in a medical experiment. At   , test the claim that the proportions who will participate are equal.

Accepted Answer

A) There is evidence to reject the claim that the proportions are equal because the test value 4.273 4.273 C) There is evidence to reject the claim that the proportions are equal because the test value 5.991 > 4.273 D) There is not evidence to reject the claim that the proportions are equal because the test value 4.273 < 5.991 A) There is evidence to reject the claim that the proportions are equal because the test value 4.273 4.273 C) There is evidence to reject the claim that the proportions are equal because the test value 5.991 > 4.273 D) There is not evidence to reject the claim that the proportions are equal because the test value 4.273 < 5.991

Question 10

In a goodness of fit test between one observed frequency distribution and one expected frequency distribution, the degrees of freedom are equal to the number of categories minus two.

Accepted Answer

A) True 
 B)False

Question 11

A product testing laboratory selected a sample of 20 printers from 2 different manufacturers to determine if they could print more than 100,000 pages without breaking down. At   , test the claim that the proportions lasting more than 100,000 pages are equal.

Accepted Answer

A)  There is not evidence to reject the claim that the proportions are equal because the test value 2.506  1.003 
C)  There is not evidence to reject the claim that the proportions are equal because the test value 2.506  1.003 
A)  There is not evidence to reject the claim that the proportions are equal because the test value 2.506  1.003 
C)  There is not evidence to reject the claim that the proportions are equal because the test value 2.506  1.003

Question 12

A random group of oranges were selected from an orchard to analyze their ripeness. Based on the time of year, the orchard owner believes that 20% of the oranges are ready for picking now, 40% will be ready in three days, 30% will be ready in one week, and 10% will be ready in two weeks. Is there evidence to reject this hypothesis at   = 0.05?

Accepted Answer

A) There is evidence to reject the claim that the oranges are distributed as claimed because the test value 21.553 > 9.488 B) There is not evidence to reject the claim that the oranges are distributed as claimed because the test value 5.991 7.815 D) There is not evidence to reject the claim that the oranges are distributed as claimed because the test value 9.488 < 21.553 A) There is evidence to reject the claim that the oranges are distributed as claimed because the test value 21.553 > 9.488 B) There is not evidence to reject the claim that the oranges are distributed as claimed because the test value 5.991 7.815 D) There is not evidence to reject the claim that the oranges are distributed as claimed because the test value 9.488 < 21.553

Question 13

An assumption for the goodness-of-fit test is that the __________ frequency for each category must be five or more.

Accepted Answer

The answer of An assumption for the goodness-of-fit test is...

Question 14

Given that a contingency table has dimensions of 5$\times$5, what is the critical value of chi-square at   ?

Accepted Answer

A)  37.652 
B)  26.296 
C)  31.410 
D)  36.415 
A)  37.652 
B)  26.296 
C)  31.410 
D)  36.415

Question 15

The test of independence of variables is used to determine whether two variables are independent or related when a single sample is selected.

Accepted Answer

A) True 
 B)False

Question 16

The null hypothesis should not be rejected for the data given in the figure below.

Accepted Answer

A) True 
 B)False

Question 17

Before computing the test value, one should state the hypothesis.

Accepted Answer

A) True 
 B)False

Question 18

The degrees of freedom for a 3$\times$5 contingency table are __________.

Accepted Answer

The answer of The degrees of freedom for a 3$\times$5...

Question 19

The chi-square independence test can be used to test the independence of two variables.

Accepted Answer

A) True 
 B)False

Question 20

When data are arranged in table form for the chi-square independence test, it is called a __________ table.

Accepted Answer

The answer of When data are arranged in table form...

A contingency table has 5 rows and 4 columns. How many degrees of freedom are there?

Two allergists recorded the main area of allergy for new patients during a month. At , test the claim that the allergy diagnosis and the doctor that treated the patients are independent.

The chi-square distribution is continuous, whereas the goodness-of-fit test is __________.

The method that uses the formula is called the __________ correction for continuity.

The dean of a local school wanted to determine if the grade distribution was independent of the subject matter taught. How many degrees of freedom does this contingency table have?

For four degrees of freedom, the value of shown in the distribution below is 0.05.

A researcher selected a sample of 50 residents from each of three different cities to determine if they were willing to participate in a medical experiment. At , test the claim that the proportions who will participate are equal.

In a goodness of fit test between one observed frequency distribution and one expected frequency distribution, the degrees of freedom are equal to the number of categories minus two.

A product testing laboratory selected a sample of 20 printers from 2 different manufacturers to determine if they could print more than 100,000 pages without breaking down. At , test the claim that the proportions lasting more than 100,000 pages are equal.

An assumption for the goodness-of-fit test is that the __________ frequency for each category must be five or more.

Given that a contingency table has dimensions of 5 $\times$ 5, what is the critical value of chi-square at $Given that a contingency table has dimensions of 5 \times 5, what is the critical value of chi-square at ?$ ?

The test of independence of variables is used to determine whether two variables are independent or related when a single sample is selected.

The null hypothesis should not be rejected for the data given in the figure below.

Before computing the test value, one should state the hypothesis.

The degrees of freedom for a 3 $\times$ 5 contingency table are __________.

The chi-square independence test can be used to test the independence of two variables.

When data are arranged in table form for the chi-square independence test, it is called a __________ table.

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

Probability and Counting Rules

Discrete Probability Distributions

The Normal Distribution

Confidence Intervals and Sample Size

Hypothesis Testing

Testing the Difference Between Two Means, Two Variances, and Two Proportions

Correlation and Regression

Analysis of Variance

Nonparametric Statistics

Sampling and Simulation

Filters

Exam 11: Other Chi-Square Tests

A contingency table has 5 rows and 4 columns. How many degrees of freedom are there?

Two allergists recorded the main area of allergy for new patients during a month. At , test the claim that the allergy diagnosis and the doctor that treated the patients are independent.

The chi-square distribution is continuous, whereas the goodness-of-fit test is __________.

The method that uses the formula is called the __________ correction for continuity.

The dean of a local school wanted to determine if the grade distribution was independent of the subject matter taught. How many degrees of freedom does this contingency table have?

For four degrees of freedom, the value of shown in the distribution below is 0.05.

A researcher selected a sample of 50 residents from each of three different cities to determine if they were willing to participate in a medical experiment. At , test the claim that the proportions who will participate are equal.

In a goodness of fit test between one observed frequency distribution and one expected frequency distribution, the degrees of freedom are equal to the number of categories minus two.

A product testing laboratory selected a sample of 20 printers from 2 different manufacturers to determine if they could print more than 100,000 pages without breaking down. At , test the claim that the proportions lasting more than 100,000 pages are equal.

An assumption for the goodness-of-fit test is that the __________ frequency for each category must be five or more.

Given that a contingency table has dimensions of 5 ×\times× 5, what is the critical value of chi-square at ?

The test of independence of variables is used to determine whether two variables are independent or related when a single sample is selected.

The null hypothesis should not be rejected for the data given in the figure below.

Before computing the test value, one should state the hypothesis.

The degrees of freedom for a 3 ×\times× 5 contingency table are __________.

The chi-square independence test can be used to test the independence of two variables.

When data are arranged in table form for the chi-square independence test, it is called a __________ table.

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

Probability and Counting Rules

Discrete Probability Distributions

The Normal Distribution

Confidence Intervals and Sample Size

Hypothesis Testing

Testing the Difference Between Two Means, Two Variances, and Two Proportions

Correlation and Regression

Analysis of Variance

Nonparametric Statistics

Sampling and Simulation

Filters

Given that a contingency table has dimensions of 5 $\times$ 5, what is the critical value of chi-square at $Given that a contingency table has dimensions of 5 \times 5, what is the critical value of chi-square at ?$ ?

The degrees of freedom for a 3 $\times$ 5 contingency table are __________.