Question 1

A chi-squared distribution is symmetric.

Accepted Answer

A) True 
 B)False

Question 2

If we square the value of z (the test statistic in the test of a proportion) we produce the ____________________ statistic.

Accepted Answer

chi-square

Question 3

For comparing two or more populations each having two or more categories, you can use which test(s)?

Accepted Answer

You can use a chi-sq

Question 4

There are two critical factors in identifying the technique used when the data are nominal.The first is the problem objective.The second is the number of ____________________ that nominal variable can assume.

Accepted Answer

The answer of There are two critical factors in identifying...

Question 5

Seat Belts
A study was conducted to determine whether the use of seat belts in vehicles depends on whether or not a child was present in the car.A sample of 1,000 people treated for injuries sustained from vehicle accidents was obtained, and each person was classified according to (1) child present (yes/no) and (2) seat belt usage (worn or not worn) during the accident.The data are shown in the table below.
  
-{Seat Belts Narrative} Calculate the value of the test statistic.

Accepted Answer

The answer of Seat Belts
A study was conducted to determine...

Question 6

In a goodness-of-fit test, the null hypothesis states that the data came from a normally distributed population.The researcher estimated the population mean and population standard deviation from a sample of 500 observations.In addition, the researcher used 6 standardized intervals to test for normality.Using a 5% level of significance, the critical value for this test is:

Accepted Answer

A)  11.1433 
B)  9.3484 
C)  7.8147 
D)  9.4877 
A)  11.1433 
B)  9.3484 
C)  7.8147 
D)  9.4877

Question 7

The chi-squared test of a(n) ____________________ is used to determine whether there is enough evidence to say two nominal variables are related.

Accepted Answer

The answer of The chi-squared test of a(n) ____________________ is...

Question 8

Which of the following tests is appropriate for nominal data if the problem objective is to compare two populations and the number of categories exceeds 2?

Accepted Answer

A)  The z-test for one proportion, p, or difference of two proportions, p1 - p2. 
B)  The chi-squared goodness-of-fit test. 
C)  The chi-squared test of a contingency table. 
D)  All of these choices are true. 
A)  The z-test for one proportion, p, or difference of two proportions, p1 - p2. 
B)  The chi-squared goodness-of-fit test. 
C)  The chi-squared test of a contingency table. 
D)  All of these choices are true.

Question 9

How do you find the probabilities needed to obtain expected frequencies for a test of a contingency table?

Accepted Answer

A)  If there are r rows and c columns, let each probability be 1/rc. 
B)  Use the probabilities specified in the null hypothesis. 
C)  Assume H0 is true and use your data to calculate them. 
D)  None of these choices. 
A)  If there are r rows and c columns, let each probability be 1/rc. 
B)  Use the probabilities specified in the null hypothesis. 
C)  Assume H0 is true and use your data to calculate them. 
D)  None of these choices.

Question 10

In a goodness-of-fit test, H0 lists specific values for proportions and the test of a contingency table does not.

Accepted Answer

A) True 
 B)False

Question 11

A small chi-squared test statistic in a goodness-of-fit test supports the null hypothesis.

Accepted Answer

A) True 
 B)False

Question 12

Suppose that a random sample of 60 observations was drawn from a population.After calculating the mean and standard deviation, each observation was standardized and the number of observations in each of the intervals below was counted.Can we infer at the 10% significance level that the data were drawn from a normal population?

Accepted Answer

H₀: p₁ = .1587, p₂ = .3413, p₃ = .3413, p₄ =

Question 13

A chi-squared distribution has a shape that is ____________________.

Accepted Answer

positively

Question 14

The alternative hypothesis in a goodness-of-fit test is that none of the pi values are equal to their values specified in H0.

Accepted Answer

A) True 
 B)False

Question 15

Which of the following represents H1 in a chi-squared goodness-of-fit test to see if all 5 colors of a certain candy appear in the same proportion in the population?

Accepted Answer

A)  H1: p1 = p2 = p3 = p4 = p5 = .20. 
B)  H1: At least one proportion is not equal to .20. 
C)  H1: None of these proportions are equal. 
D)  None of these choices. 
A)  H1: p1 = p2 = p3 = p4 = p5 = .20. 
B)  H1: At least one proportion is not equal to .20. 
C)  H1: None of these proportions are equal. 
D)  None of these choices.

Question 16

A test for the differences between two proportions can be performed using the chi-squared distribution.

Accepted Answer

A) True 
 B)False

Question 17

If we use   goodness-of-fit to test for the differences among 4 proportions, the degrees of freedom is equal to:

Accepted Answer

A)  3 
B)  4 
C)  5 
D)  None of these choices. 
A)  3 
B)  4 
C)  5 
D)  None of these choices.

Question 18

Consider a multinomial experiment involving 100 trials and 3 categories (cells).The observed frequencies resulting from the experiment are shown in the accompanying table.
  
 Use the 5% significance level to test the hypotheses HS1U1B10S1U1B0: pS1U1B11S1U1B0 = .45, pS1U1B12S1U1B0 = .30, pS1U1B13S1U1B0 = .25 vs.HS1U1B11S1U1B0: At least one proportion differs from their specified values.

Accepted Answer

Rejection region: @#IMG-DLM&> @#IMG-DLM&.05,2S1U1B0 = 5.991

Question 19

Suppose the value of your chi-squared test statistic in a goodness-of-fit test is equal to 0.What do you conclude?

Accepted Answer

A)  Reject H0.Conclude that at least one proportion is not equal to its specified value. 
B)  Fail to reject H0.Not enough evidence to say the proportions are different from what is listed in H0. 
C)  Not enough information; need the degrees of freedom for the test. 
D)  None of these choices. 
A)  Reject H0.Conclude that at least one proportion is not equal to its specified value. 
B)  Fail to reject H0.Not enough evidence to say the proportions are different from what is listed in H0. 
C)  Not enough information; need the degrees of freedom for the test. 
D)  None of these choices.

Question 20

Which of the following tests does not use the chi-squared distribution?

Accepted Answer

A)  Test of a contingency table. 
B)  Goodness-of-fit test. 
C)  One tailed test for two proportions. 
D)  None of these choices. 
A)  Test of a contingency table. 
B)  Goodness-of-fit test. 
C)  One tailed test for two proportions. 
D)  None of these choices.

A chi-squared distribution is symmetric.

If we square the value of z (the test statistic in the test of a proportion) we produce the ____________________ statistic.

For comparing two or more populations each having two or more categories, you can use which test(s)?

There are two critical factors in identifying the technique used when the data are nominal.The first is the problem objective.The second is the number of ____________________ that nominal variable can assume.

The chi-squared test of a(n) ____________________ is used to determine whether there is enough evidence to say two nominal variables are related.

Which of the following tests is appropriate for nominal data if the problem objective is to compare two populations and the number of categories exceeds 2?

How do you find the probabilities needed to obtain expected frequencies for a test of a contingency table?

In a goodness-of-fit test, H₀ lists specific values for proportions and the test of a contingency table does not.

A small chi-squared test statistic in a goodness-of-fit test supports the null hypothesis.

A chi-squared distribution has a shape that is ____________________.

The alternative hypothesis in a goodness-of-fit test is that none of the p_i values are equal to their values specified in H₀.

Which of the following represents H₁ in a chi-squared goodness-of-fit test to see if all 5 colors of a certain candy appear in the same proportion in the population?

A test for the differences between two proportions can be performed using the chi-squared distribution.

If we use the goodness-of-fit to test for the differences among 4 proportions, the degrees of freedom is equal to:

Suppose the value of your chi-squared test statistic in a goodness-of-fit test is equal to 0.What do you conclude?

Which of the following tests does not use the chi-squared distribution?

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Simple Linear Regression and Correlation

Multiple Regression

Filters

Exam 15: Chi-Squared Tests

A chi-squared distribution is symmetric.

If we square the value of z (the test statistic in the test of a proportion) we produce the ____________________ statistic.

For comparing two or more populations each having two or more categories, you can use which test(s)?

There are two critical factors in identifying the technique used when the data are nominal.The first is the problem objective.The second is the number of ____________________ that nominal variable can assume.

The chi-squared test of a(n) ____________________ is used to determine whether there is enough evidence to say two nominal variables are related.

Which of the following tests is appropriate for nominal data if the problem objective is to compare two populations and the number of categories exceeds 2?

How do you find the probabilities needed to obtain expected frequencies for a test of a contingency table?

In a goodness-of-fit test, H0 lists specific values for proportions and the test of a contingency table does not.

A small chi-squared test statistic in a goodness-of-fit test supports the null hypothesis.

A chi-squared distribution has a shape that is ____________________.

The alternative hypothesis in a goodness-of-fit test is that none of the pi values are equal to their values specified in H0.

Which of the following represents H1 in a chi-squared goodness-of-fit test to see if all 5 colors of a certain candy appear in the same proportion in the population?

A test for the differences between two proportions can be performed using the chi-squared distribution.

If we use the goodness-of-fit to test for the differences among 4 proportions, the degrees of freedom is equal to:

Suppose the value of your chi-squared test statistic in a goodness-of-fit test is equal to 0.What do you conclude?

Which of the following tests does not use the chi-squared distribution?

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Simple Linear Regression and Correlation

Multiple Regression

Filters

In a goodness-of-fit test, H₀ lists specific values for proportions and the test of a contingency table does not.

The alternative hypothesis in a goodness-of-fit test is that none of the p_i values are equal to their values specified in H₀.

Which of the following represents H₁ in a chi-squared goodness-of-fit test to see if all 5 colors of a certain candy appear in the same proportion in the population?