Question 1

For a goodness-of-fit test,the frequencies that we would obtain if the null hypothesis is true are the:

Accepted Answer

Expected frequencies are the theoretical frequencies we would expect to obtain if the null hypothesis is true in a goodness-of-fit test.

Question 2

Which of the following is not a characteristic of a multinomial experiment?

Accepted Answer

In a multinomial experiment, the trials are independent, not dependent.

Question 3

For a goodness-of-fit test,when n is the sample size and p is the probability of a category occurring,we calculate the expected frequency for a category by:

Accepted Answer

A

Question 4

Which of the following is not a characteristic of a multinomial experiment?

Accepted Answer

A multinomial experiment involves more than two possible outcomes for each trial, unlike a binomial experiment which has only two possible outcomes.

Question 5

A goodness-of-fit test:

Accepted Answer

A goodness-of-fit test is typically a right-tailed test because it assesses whether the observed frequencies significantly deviate from the expected frequencies, which would indicate a poor fit.

Question 6

For a goodness-of-fit test,the sample size should be large enough so that the:

Accepted Answer

The expected frequency for each category should be at least 5 to ensure the validity of the chi-square goodness-of-fit test.

Question 7

For very large degrees of freedom,the chi-square distribution becomes:

Accepted Answer

As the degrees of freedom increase, the chi-square distribution approaches a normal distribution, which is symmetric.

Question 8

What is the chi-square value for 19 degrees of freedom and a 0.025 area in the right tail?

Accepted Answer

The chi-square value for 19 degrees of freedom with a 0.025 area in the right tail is 32.852, based on chi-square distribution tables.

Question 9

For a chi-square distribution curve with 3 or more degrees of freedom,the peak occurs at the point:

Accepted Answer

For a chi-square distribution with k degrees of freedom, the peak occurs at x = k - 2 when k > 2.

Question 10

Use the following to answer questions :
The table below lists the observed frequencies for all four categories for an experiment.

-The null hypothesis for the goodness-of-fit test is that the proportion of all elements of the population that belong to each of the four categories is the same.What is the expected frequency for the second category?

Accepted Answer

The answer of Use the following to answer questions :
The...

Question 11

Which of the following is not a characteristic of a multinomial experiment?

Accepted Answer

A multinomial experiment consists of more than two trials, not just two identical trials.

Question 12

The parameter(s)of the chi-square distribution is/are:

Accepted Answer

The chi-square distribution is defined by its degrees of freedom, which is typically related to the number of categories or variables being analyzed.

Question 13

What is the chi-square value for 14 degrees of freedom and a .05 area in the right tail?

Accepted Answer

The answer of What is the chi-square value for 14...

Question 14

For a goodness-of-fit test,the frequencies obtained from the performance of an experiment are the:

Accepted Answer

The frequencies obtained from the performance of an experiment are the observed frequencies, which are compared to the expected frequencies in a goodness-of-fit test.

Question 15

What is the chi-square value for 9 degrees of freedom and a .01 area in the left tail?

Accepted Answer

The chi-square value for 9 degrees of freedom and a .01 area in the left tail is 2.088. Chi-square values are always positive, so negative options are incorrect.

Question 16

For a goodness-of-fit test with the number of categories equal to k and sample size equal to n,the degrees of freedom are:

Accepted Answer

The degrees of freedom for a goodness-of-fit test is calculated as the number of categories (k) minus 1, which is k - 1.

Question 17

Which of the following is not a characteristic of a multinomial experiment?

Accepted Answer

In a multinomial experiment, the probabilities of the various outcomes remain constant for each trial.

Question 18

For small degrees of freedom,the chi-square distribution is:

Accepted Answer

For small degrees of freedom, the chi-square distribution is skewed to the right.

Question 19

What is the chi-square value for 12 degrees of freedom and a 0.10 area in the left tail?

Accepted Answer

The chi-square value for 12 degrees of freedom and a 0.10 area in the left tail is 6.304.

Question 20

A chi-square distribution assumes:

Accepted Answer

The chi-square distribution is defined only for nonnegative values, as it is based on the sum of squared standard normal variables.

Quiz 11: Chi-Square Tests

For a goodness-of-fit test,the frequencies that we would obtain if the null hypothesis is true are the:

Which of the following is not a characteristic of a multinomial experiment?

For a goodness-of-fit test,when n is the sample size and p is the probability of a category occurring,we calculate the expected frequency for a category by:

Which of the following is not a characteristic of a multinomial experiment?

A goodness-of-fit test:

For a goodness-of-fit test,the sample size should be large enough so that the:

For very large degrees of freedom,the chi-square distribution becomes:

What is the chi-square value for 19 degrees of freedom and a 0.025 area in the right tail?

For a chi-square distribution curve with 3 or more degrees of freedom,the peak occurs at the point:

Which of the following is not a characteristic of a multinomial experiment?

The parameter(s) of the chi-square distribution is/are:

What is the chi-square value for 14 degrees of freedom and a .05 area in the right tail?

For a goodness-of-fit test,the frequencies obtained from the performance of an experiment are the:

What is the chi-square value for 9 degrees of freedom and a .01 area in the left tail?

For a goodness-of-fit test with the number of categories equal to k and sample size equal to n,the degrees of freedom are:

Which of the following is not a characteristic of a multinomial experiment?

For small degrees of freedom,the chi-square distribution is:

What is the chi-square value for 12 degrees of freedom and a 0.10 area in the left tail?

A chi-square distribution assumes: