11.4 Test for Homogeneity
Deciding whether two separately sampled populations follow the same unknown distribution, running the contingency-table statistic on side-by-side samples.
11 exercises
Distribution of Living Arragements for College Males and College Females
Do male and female college students have the same distribution of living arrangements? Use a level of significance of 0.05. Suppose that 250 randomly selected male college students and 300 randomly selected female college students were asked about their living arrangements: dormitory, apartment, with parents, other. The results are shown in the table. Do male and female college students have the…
11.4 Exercise 2
Do families and singles have the same distribution of cars? Suppose that 100 randomly selected families and 200 randomly selected singles were asked what type of car they drove: sport, sedan, hatchback, truck, van/SUV. The results are shown in the table. Do families and singles have the same distribution of cars? Test at a level of significance of 0.05.
11.4 Exercise 3
Both before and after a recent earthquake, surveys were conducted asking voters which of the three candidates they planned on voting for in the upcoming city council election. Has there been a change since the earthquake? Use a level of significance of 0.05. the table shows the results of the survey. Has there been a change in the distribution of voter preferences since the earthquake?
11.4 Exercise 5
A math teacher wants to see if two of her classes have the same distribution of test scores. What test should she use?
11.4 Exercise 7
A market researcher wants to see if two different stores have the same distribution of sales throughout the year. What type of test should he use?
11.4 Exercise 9
What condition must be met to use the test for homogeneity?
11.4 Exercise 11
df = _______
11.4 Exercise 13
What is the p-value?
11.4 Exercise 15
For each word problem, use a solution sheet to solve the hypothesis test problem. Go to the reference for the chi-square solution sheet. Round expected frequency to two decimal places.
A psychologist is interested in testing whether there is a difference in the distribution of personality types for business majors and social science majors. The results of the study are shown in the table. Conduct…
11.4 Exercise 17
For each word problem, use a solution sheet to solve the hypothesis test problem. Go to the reference for the chi-square solution sheet. Round expected frequency to two decimal places.
A fisherman is interested in whether the distribution of fish caught in Green Valley Lake is the same as the distribution of fish caught in Echo Lake. Of the 191 randomly selected fish caught in Green Valley Lake, 1…
11.4 Exercise 19
For each word problem, use a solution sheet to solve the hypothesis test problem. Go to the reference for the chi-square solution sheet. Round expected frequency to two decimal places.
When looking at energy consumption, we are often interested in detecting trends over time and how they correlate among different countries. The information in the table shows the average energy use in units of kg of…
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