Exam 15: Chi-Squared Tests

You find the expected value for each cell in a chi-squared test for a contingency table by multiplying the ____________________ total by the ____________________ total and dividing by the sample size, n.

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: H₀: p₁ = .10, p₂ = .25, p₃ = .30, p₄ = .20, p₅ = .15. -{Student Absenteeism Narrative} Test the hypothesis at the 5% level of significance with the following frequencies: (n = 50)

The expected values of a contingency table are calculated based on the assumption that H₀ is ____________________.

A multinomial experiment with two categories is identical to a binomial experiment.

The only way the chi-squared test statistic can be zero is if the observed frequencies are all exactly the same as the expected frequencies.

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

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: 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.

A chi-squared test of a contingency table with 6 degrees of freedom results in a test statistic = 13.58.Using the 11ef175e_802b_4a04_8934_59fb895fb22d_TB7453_11 tables, the most accurate statement that can be made about the p-value for this test is that:

The sampling distribution of the test statistic for a goodness-of-fit test with k categories is a:

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

Consider a multinomial experiment involving 160 trials 4 categories (cells).The observed frequencies resulting from the experiment are shown in the accompanying table. Use the 10% significance level to test the hypotheses: H₀: p₁ = p₂ = p₃ = p₄ = .25 vs.H₁: At least one proportion differs from their specified values.

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

Before a chi-squared test of a contingency table can be carried out, the expected values of all cells should be greater than or equal to ____________________.

Mathematical statisticians have established that if we square the value of z, the test statistic for the test of one proportion p, we produce the statistic.That is, z² = 11ef175f_648a_6c86_8934_c9eca761ba5b_TB7453_11.

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

The chi-squared test of a contingency table is based upon:

Suppose that two shipping companies, A and B, each decide to estimate the annual percentage of shipments on which a $100 or greater claim for loss or damage was filed by sampling their records, and they report the data shown below. The owner of Company B is hoping to use these data to show that her company is superior to Company A with regard to the percentage of claims filed.Which test would be used to properly analyze the data in this experiment?

To determine the critical values in the chi-squared distribution table, you need to know the:

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.

If we want to perform a two-tail test for differences between two populations of nominal data with exactly two categories, we can employ either the z-test of p₁ - p₂, or the chi-squared test of a contingency table.