Question 1

How does a multinomial distribution differ from a binomial distribution?

Accepted Answer

A)  A binomial has only two possible categories and a multinomial can have more. 
B)  A binomial has a fixed number of n trials.A multinomial has a fixed number of nk trials,where k is the number of categories. 
C)  The probabilities in a binomial distribution are always p and 1 - p.The trials in a multinomial distribution are always p/k and (1 - p/k). 
D)  All of these choices are true. 
A)  A binomial has only two possible categories and a multinomial can have more. 
B)  A binomial has a fixed number of n trials.A multinomial has a fixed number of nk trials,where k is the number of categories. 
C)  The probabilities in a binomial distribution are always p and 1 - p.The trials in a multinomial distribution are always p/k and (1 - p/k). 
D)  All of these choices are true.

Question 2

In testing the difference between two proportions using the normal distribution,we may use either a one-tailed or two-tailed test.

Accepted Answer

A) True 
 B)False

Question 3

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 4

If we want to perform a one-tail test of a population proportion p,we can employ either the z-test of p,or the chi-squared goodness-of-fit test.

Accepted Answer

A) True 
 B)False

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.
   $\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} How many degrees of freedom are associated with the proper test in this experiment?

Accepted Answer

df = (2 -

Question 6

If there are only two categories,the chi-squared goodness-of-fit test is the same as the z-test for p,the population proportion (as long as the sample/cell sizes meet the conditions).

Accepted Answer

A) True 
 B)False

Question 7

A chi-squared test of a contingency table is applied to a contingency table with 3 rows and 4 columns for two qualitative variables.The degrees of freedom for this test must be 12.

Accepted Answer

A) True 
 B)False

Question 8

If you want to compare two populations that each have more than two categories,you can use a chi-squared test of a(n)____________________.

Accepted Answer

The answer of If you want to compare two populations...

Question 9

Which of the following conditions indicate that H0 should be rejected in a goodness-of-fit test?

Accepted Answer

A)  The observed frequencies are equal to their expected frequencies. 
B)  The test statistic is large. 
C)  The degrees of freedom is large. 
D)  All of these choices are true. 
A)  The observed frequencies are equal to their expected frequencies. 
B)  The test statistic is large. 
C)  The degrees of freedom is large. 
D)  All of these choices are true.

Question 10

If we want to perform a one-tail test for differences between two populations of nominal data with exactly two categories,we must employ the z-test of p1 -p2.

Accepted Answer

A) True 
 B)False

Question 11

The chi-squared distribution is used in:

Accepted Answer

A)  a goodness-of-fit test. 
B)  a test of a contingency table. 
C)  describing a population having more than two categories. 
D)  All of these choices are true. 
A)  a goodness-of-fit test. 
B)  a test of a contingency table. 
C)  describing a population having more than two categories. 
D)  All of these choices are true.

Question 12

A Deli proposes to serve 4 main Sandwiches.For planning purposes,the manager expects that the proportions of each that will be selected by her customers will be:
 $$\begin{array} { | l | c | } 
\hline \text { Selection } & \text { Prapartion } \
\hline \text { Turkey } & .50 \
\text { Roast Beef } & .20 \
\text { Pastrami } & .10 \
\text { Tuna } & .20 \
\hline
\end{array}$$ Of a random sample of 100 customers,44 selected chicken,24 selected roast beef,13 selected Pastrami,and 10 selected tuna.Should the manager revise her estimates? Use $\alpha$ = .01.

Accepted Answer

H₀: p₁ = .50,p

Question 13

The degrees of freedom for the test statistic in a test of a contingency table is (r - 1)(c - 1)where r is the number of rows in the table,and c is the number of columns.

Accepted Answer

A) True 
 B)False

Question 14

A left-tailed area in the chi-squared distribution equals .90.For 10 degrees of freedom the table value equals 15.9871.

Accepted Answer

A) True 
 B)False

Question 15

A cable company prepared four versions of a set of instructions for hooking up a TV.The company asked a sample of 1,600 people which one of the four forms was easiest to understand.In the sample,425 people preferred Form A,385 preferred Form B,375 preferred Form C,and 415 preferred Form D.At the 5% level of significance,can one conclude that in the population there is a preferred form?

Accepted Answer

H₀: p₁ = p_2</

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 the chi-squared method of analysis we must first check that there are at least 5 observations in each cell of the contingency table.

Accepted Answer

A) True 
 B)False

Question 18

Student Absenteeism
Consider a multinomial experiment involving n = 200 students of a large high school.The attendance department recorded the number of students who were absent during the weekdays.The null hypothesis to be tested is: HS1U1B10S1U1B0: pS1U1B11S1U1B0 = .10,pS1U1B12S1U1B0 = .25,pS1U1B13S1U1B0 = .30,pS1U1B14S1U1B0 = .20,pS1U1B15S1U1B0 = .15.
-{Student Absenteeism Narrative} Test the hypothesis at the 5% level of significance with the following frequencies: (n = 50)
 $$\begin{array} { | l | c c c c c | } 
\hline \text { Day of the Week } & \text { Mon. } & \text { Tues. } & \text { Wed. } & \text { Thurs. } & \text { Fri. } \
\hline \text { Number Absent } & 4 & 11 & 14 & 12 & 9 \
\hline
\end{array}$$

Accepted Answer

Rejection region: @#LAT-DLM&² > @#LAT-DLM&^2<

Question 19

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 used...

Question 20

A test statistic that lies in the far right tail of the chi-squared distribution indicates you will ____________________ H0.

Accepted Answer

Exam 15: Chi-Squared Tests

How does a multinomial distribution differ from a binomial distribution?

In testing the difference between two proportions using the normal distribution,we may use either a one-tailed or two-tailed test.

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.

If we want to perform a one-tail test of a population proportion p,we can employ either the z-test of p,or the chi-squared goodness-of-fit test.

If there are only two categories,the chi-squared goodness-of-fit test is the same as the z-test for p,the population proportion (as long as the sample/cell sizes meet the conditions).

A chi-squared test of a contingency table is applied to a contingency table with 3 rows and 4 columns for two qualitative variables.The degrees of freedom for this test must be 12.

If you want to compare two populations that each have more than two categories,you can use a chi-squared test of a(n)____________________.

Which of the following conditions indicate that H0 should be rejected in a goodness-of-fit test?

If we want to perform a one-tail test for differences between two populations of nominal data with exactly two categories,we must employ the z-test of p1 -p2.

The chi-squared distribution is used in:

The degrees of freedom for the test statistic in a test of a contingency table is (r - 1)(c - 1)where r is the number of rows in the table,and c is the number of columns.

A left-tailed area in the chi-squared distribution equals .90.For 10 degrees of freedom the table value equals 15.9871.

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

If we use the chi-squared method of analysis we must first check that there are at least 5 observations in each cell of the contingency table.

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

A test statistic that lies in the far right tail of the chi-squared distribution indicates you will ____________________ H0.

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

Which of the following conditions indicate that H₀ should be rejected in a goodness-of-fit test?

If we want to perform a one-tail test for differences between two populations of nominal data with exactly two categories,we must employ the z-test of p₁ -p₂.

A test statistic that lies in the far right tail of the chi-squared distribution indicates you will ____________________ H₀.