Question 1

To address whether two variables are related in a contingency table,the null hypothesis,H0,says that

Accepted Answer

A)  The two variables are independent. 
B)  The two variables are dependent. 
C)  The two variables are equal. 
D)  None of these choices. 
A)  The two variables are independent. 
B)  The two variables are dependent. 
C)  The two variables are equal. 
D)  None of these choices.

Question 2

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?
 $$\begin{array} { | l | c | } 
\hline \text { Intervals } & \text { Frequency } \
\hline Z \leq - 1 & \mathbf { 8 } \
- 1  1 & 5 \
\hline
\end{array}$$

Accepted Answer

H₀: p₁ = .1587,p

Question 3

A chi-squared test statistic in a test of a contingency table that is equal to zero means:

Accepted Answer

A)  The two nominal variables are equal. 
B)  The two nominal variables are independent. 
C)  The two nominal variables have the same proportions listed in H0. 
D)  All of these choices. 
A)  The two nominal variables are equal. 
B)  The two nominal variables are independent. 
C)  The two nominal variables have the same proportions listed in H0. 
D)  All of these choices.

Question 4

A chi-squared test of a contingency table with 6 degrees of freedom results in a test statistic $\chi$2 = 13.58.Using the $\chi$2 tables,the most accurate statement that can be made about the p-value for this test is that:

Accepted Answer

A) p-value > .10 B) p-value > .05 C) .05 < p-value < .10 D) .025 < p-value < .05 A) p-value > .10 B) p-value > .05 C) .05 < p-value < .10 D) .025 < p-value < .05

Question 5

The rule of ____________________ states that in order to conduct the chi-squared goodness-of-fit test,the expected value for each cell must be ____________________ or more.

Accepted Answer

The answer of The rule of ____________________ states that in...

Question 6

A sports preference poll showed the following data for adults and children:
 $$\begin{array}{l}
\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\text { Favorite Sport }\
\begin{array} { | l | c c c c c | } 
\hline \text { Cander } & \text { Baseball } & \text { Saccer } & \text { Rugby } & \text { Hackey } & \text { Archery } \
\hline \text { Adults } & 24 & 17 & 30 & 18 & 22 \
\text { Children } & 21 & 20 & 22 & 12 & 28 \
\hline
\end{array}
\end{array}$$ Use the 5% level of significance and test to determine whether sports preferences depend on age group.

Accepted Answer

H₀: Age group and sports pref

Question 7

If we want to conduct a two-tail test of a population proportion,we can employ:

Accepted Answer

A)  z-test of a population proportion. 
B)  the chi-squared test of a binomial experiment since z2 = $\chi$2. 
C)  the chi-squared test of a contingency table. 
D)  Both a and b 
A)  z-test of a population proportion. 
B)  the chi-squared test of a binomial experiment since z2 = $\chi$2. 
C)  the chi-squared test of a contingency table. 
D)  Both a and b

Question 8

The human resources manager of a consumer product company asked a random sample of employees how they felt about the work they were doing.The following table gives a breakdown of their responses by whether the employee is part time or full time (aka work status).Do the data provide sufficient evidence to conclude that the level of job satisfaction is related to their work status? Use $\alpha$= .10.
 $$\begin{array}{l}
\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\text { Response }\
\begin{array} { | l | c c c | } 
\hline \text { Gander } & \text { Very Interesting } & \text { Fairly Interesting } & \text { Nat Interesting } \
\hline \text { Full tine } & 70 & 41 & 9 \
\text { Part tine } & 35 & 34 & 11 \
\hline
\end{array}
\end{array}$$

Accepted Answer

H₀: Job satisfaction and work

Question 9

The alternative hypothesis in a chi-squared test of a contingency table is that the two nominal variables are ____________________.

Accepted Answer

The answer of The alternative hypothesis in a chi-squared test...

Question 10

Consider a multinomial experiment with 200 trials,where the outcome of each trial is classified into one of 5 categories.The number of degrees of freedom associated with the chi-squared goodness-of-fit test equals:

Accepted Answer

A)  195 
B)  40 
C)  5 
D)  4 
A)  195 
B)  40 
C)  5 
D)  4

Question 11

Which of the following statements regarding the chi-squared distribution is true?

Accepted Answer

A)  The chi-squared distribution is skewed to the right. 
B)  All values of the chi-squared distribution are greater than or equal to zero. 
C)  The critical region for a goodness-of-fit test with k categories is $\chi$2 > $\chi$2 $\alpha$ ,k-1,where $\chi$2 is the value of the test statistic. 
D)  All of these choices are true. 
A)  The chi-squared distribution is skewed to the right. 
B)  All values of the chi-squared distribution are greater than or equal to zero. 
C)  The critical region for a goodness-of-fit test with k categories is $\chi$2 > $\chi$2 $\alpha$ ,k-1,where $\chi$2 is the value of the test statistic. 
D)  All of these choices are true.

Question 12

For a chi-squared distributed random variable with 10 degrees of freedom and a level of significance of .025,the chi-squared table value is 20.4831.Suppose the value of your test statistic is 16.857.This will lead you to reject the null hypothesis.

Accepted Answer

A) True 
 B)False

Question 13

A large value of a chi-squared test statistic in a test of a contingency table leads you to conclude the two variables are ____________________.

Accepted Answer

The answer of A large value of a chi-squared test...

Question 14

Which of the following statements is true for chi-squared tests?

Accepted Answer

A)  Testing for equal proportions is identical to testing for goodness-of-fit. 
B)  The number of degrees of freedom in a test of a contingency table with r rows and c columns is (r - 1)(c - 1). 
C)  The number of degrees of freedom in a goodness-of-fit test with k categories is k - 1. 
D)  All of these choices are true. 
A)  Testing for equal proportions is identical to testing for goodness-of-fit. 
B)  The number of degrees of freedom in a test of a contingency table with r rows and c columns is (r - 1)(c - 1). 
C)  The number of degrees of freedom in a goodness-of-fit test with k categories is k - 1. 
D)  All of these choices are true.

Question 15

The number of degrees of freedom associated with the chi-squared test statistic for normality is the number of ____________________ minus 1 minus the number of ____________________ estimated.

Accepted Answer

intervals;

Question 16

In a goodness-of-fit test,all of the proportions specified in the null hypothesis must be equal to each other.

Accepted Answer

A) True 
 B)False

Question 17

A test for whether one proportion is higher than the other can be performed using the chi-squared distribution.

Accepted Answer

A) True 
 B)False

Question 18

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.
   $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $Child present in car $$\begin{array} { | l | c c | } 
\hline \text { Seat Belts } & \text { NO } & \text { YES } \
\hline \text { Worm } & 83 & 200 \
\text { Not Worn } & 337 & 380 \
\hline
\end{array}$$
-{Seat Belts Narrative} Which test would be used to properly analyze the data in this experiment?

Accepted Answer

@#LAT-DLM&²

Question 19

For a chi-squared distributed random variable with 12 degrees of freedom and a level of significance of .05,the test statistics is 25.168.The chi-squared value from the table is 21.0261.These results will lead us to reject the null hypothesis.

Accepted Answer

A) True 
 B)False

Question 20

The number of degrees of freedom for a contingency table with r rows and c columns is:

Accepted Answer

A)  r + c 
B)  rc 
C)  (r - 1)(c - 1) 
D)  None of these choices. 
A)  r + c 
B)  rc 
C)  (r - 1)(c - 1) 
D)  None of these choices.

Exam 15: Chi-Squared Tests

To address whether two variables are related in a contingency table,the null hypothesis,H0,says that

A chi-squared test statistic in a test of a contingency table that is equal to zero means:

A chi-squared test of a contingency table with 6 degrees of freedom results in a test statistic χ\chiχ 2 = 13.58.Using the χ\chiχ 2 tables,the most accurate statement that can be made about the p-value for this test is that:

The rule of ____________________ states that in order to conduct the chi-squared goodness-of-fit test,the expected value for each cell must be ____________________ or more.

A sports preference poll showed the following data for adults and children: Favorite Sport Cander Baseball Saccer Rugby Hackey Archery Adults 24 17 30 18 22 Children 21 20 22 12 28 Use the 5% level of significance and test to determine whether sports preferences depend on age group.

If we want to conduct a two-tail test of a population proportion,we can employ:

The alternative hypothesis in a chi-squared test of a contingency table is that the two nominal variables are ____________________.

Consider a multinomial experiment with 200 trials,where the outcome of each trial is classified into one of 5 categories.The number of degrees of freedom associated with the chi-squared goodness-of-fit test equals:

Which of the following statements regarding the chi-squared distribution is true?

For a chi-squared distributed random variable with 10 degrees of freedom and a level of significance of .025,the chi-squared table value is 20.4831.Suppose the value of your test statistic is 16.857.This will lead you to reject the null hypothesis.

A large value of a chi-squared test statistic in a test of a contingency table leads you to conclude the two variables are ____________________.

Which of the following statements is true for chi-squared tests?

The number of degrees of freedom associated with the chi-squared test statistic for normality is the number of ____________________ minus 1 minus the number of ____________________ estimated.

In a goodness-of-fit test,all of the proportions specified in the null hypothesis must be equal to each other.

A test for whether one proportion is higher than the other can be performed using the chi-squared distribution.

For a chi-squared distributed random variable with 12 degrees of freedom and a level of significance of .05,the test statistics is 25.168.The chi-squared value from the table is 21.0261.These results will lead us to reject the null hypothesis.

The number of degrees of freedom for a contingency table with r rows and c columns is:

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

A: Numerical Descriptive Techniques

B: Numerical Descriptive Techniques

C: Numerical Descriptive Techniques

Data Collection and Sampling

Probability

A: Random Variables and Discrete Probability Distributions

B: 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

A: Simple Linear Regression and Correlation

B: Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Statistics

Time-Series Analysis and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters

To address whether two variables are related in a contingency table,the null hypothesis,H₀,says that

A chi-squared test of a contingency table with 6 degrees of freedom results in a test statistic $\chi$ ² = 13.58.Using the $\chi$ ² tables,the most accurate statement that can be made about the p-value for this test is that:

The rule of states that in order to conduct the chi-squared goodness-of-fit test,the expected value for each cell must be or more.

The number of degrees of freedom associated with the chi-squared test statistic for normality is the number of minus 1 minus the number of estimated.