Exam 11: Other Chi-Square Tests

The table lists the sugar content of two types of apples from three different orchards. At , test the claim that the sugar content of the apples and the orchard where they were grown are not related.

A biologist had mice and rats run through a maze and recorded the number that finished the maze successfully and the number that did not. The table lists the results of the study. At , test the claim that the rodent type and the success of finishing the maze are not related.

A random group of students was selected from a large student conference to analyze their class in school. Is there evidence to reject the hypothesis that the number of students is equally distributed between the four classes, at = 0.05?

An anatomy teacher hypothesizes that the final grades in her class are distributed as 10% A's, 23% B's, 45% C's, 14% D's, and 8% F's. At the end of the semester, she has the following grades. Find the critical value. Use .

Frequencies obtained by calculation are called expected frequencies.

A study was performed at a university to analyze whether the preference for hamburgers or fried chicken is related to the gender of the student. This table lists the results of the study. At , test the claim that the meal preference and the gender of the student are not related.

A random group of customers at a fast food chain were asked whether they preferred hamburgers, chicken sandwiches, or fish sandwiches. The restaurant's marketing department claims that 45% of customers prefer hamburgers, 37% of the customers prefer chicken sandwiches, and 18% of the customers prefer fish sandwiches. Is there evidence to reject this hypothesis at = 0.05?

The critical chi-square value for 15 degrees of freedom when and the test is right-tailed is 19.675.

Chicken, hot dogs, and hamburgers were served during a recent barbeque. The host assumed that there would be no difference between what the women chose to eat and what the men chose to eat. Compute the test value for the following data.

A random group of desktop computer sales was selected from an electronic discount chain to analyze the size of monitor purchased with the computer. Is there evidence to reject the hypothesis that the number of monitors is equally distributed between the five types, at = 0.05?

A random group of students was asked to name their favorite type of music. The campus radio station believes that 16% of the students prefer rap, 26% prefer rock, 17% prefer country, 13% prefer new age, and 28% prefer oldies. Is there evidence to reject this hypothesis at = 0.05?

The two types of tests that use a contingency table are the independence test and the __________ test.

A chewing gum manufacturer wishes to determine if his customers prefer one flavor gum to any other flavor. He selects a random sample of customers and records the flavor of gum that is purchased. Compute the test value for the data given.

A research firm reported that 15% of those surveyed described their health as poor, 26% as good, 40% as very good, and 19% as excellent. A health professional in Chicago wanted to determine if people in Chicago had similar feelings toward their health. In a sample of 610 people in Chicago, 70 described their health as poor, 180 as good, 220 as very good, and 140 as excellent. Compute the test value.

A random group of apartments was selected from a city to analyze the number of bedrooms they have. Is there evidence to reject the hypothesis that the apartments are equally distributed between 1-bedroom, 2-bedroom, and 3-bedroom apartments, at = 0.05?

A marketing company selected a sample of 25 lawyers and 25 doctors to determine if they had voted in the last election. At , test the claim that the proportions who voted are equal.

If the null hypothesis is not rejected, it can be assumed the proportions are __________ and the differences in them are due to chance.

The computational procedure for the homogeneity of proportions differs from that of the test of independence in that it takes into account the standard deviation.

The degrees of freedom for a 7 $\times$ 5 contingency table would be 24.

The chi-square goodness-of-fit test is always one-tailed left.