Exam 15: Chi-Squared Tests Optional

To address whether two variables are related in a contingency table, the alternative hypothesis, H₁, is:

If the expected frequency of a cell is less than 5, you should combine cells of the table.

You cannot use a chi-squared goodness-of-fit test when there are only two possible outcomes for each trial in your experiment.

If we use the $\chi$ ² goodness-of-fit to test for the differences among 4 proportions, the degrees of freedom is equal to:

When the problem objective is to describe a population of nominal data with exactly two categories, we can employ either the z-test of a population proportion p, or the chi-squared goodness-of-fit test.

A large value of the chi-squared test statistic in a test of normality means you reject H₀ and conclude that the data ____________________ (do/do not) come from a normal distribution.

A chi-squared test of a contingency table is applied to a contingency table with 4 rows and 4 columns for two qualitative variables. The degrees of freedom for this test must be 9.

A chi-squared goodness-of-fit test is always a two-tailed test.

To determine whether data were drawn from a multinomial distribution with certain proportions, you use a:

NARRBEGIN: Sales Volumes Sales Volumes A telemarketer makes five calls per day. A sample of 200 days gives the frequencies of sales volumes listed below: Number of Sales Observed Frequency (days) 0 10 1 38 2 69 3 63 4 18 5 2 Assume the population is binomial distribution with a probability of purchase p equal to 0.50.NARREND -{Sales Volumes Narrative} Compute the expected frequencies for x = 0, 1, 2, 3, 4, and 5 by using the binomial probability function or the binomial tables. Combine categories if necessary to satisfy the rule of five.

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

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

A left-tailed area in the chi-squared distribution equals 0.90. For 10 degrees of freedom the table value equals 15.9871.

If you want to compare two populations that each have more than two categories, which test(s) can you use?

To analyze the relationship between two nominal variables, which test(s) can you use?

How does a multinomial distribution differ from a binomial distribution?

We can use the goodness-of-fit test to determine whether data were drawn from any distribution of interest. The most common application of this procedure is a test of ____________________.

If you reject H₀ in a test of a contingency table, you conclude that based on your data:

Contingency tables are used in:

The number of degrees of freedom associated with a chi-squared test of a contingency table is ____________________.