11.4 Test for Homogeneity
Deciding whether two populations share the same unknown distribution, using contingency-table arithmetic but a different null claim.
10 exercises
Distribution of Living Arragements for College Men and College Women
Do men and women college students have the same distribution of living arrangements? Use a level of significance of 0.05. Suppose that 250 randomly selected men college students and 300 randomly selected women 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 same…
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 their classes have the same distribution of test scores. What test should they 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 they 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 fish and wildlife technician 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 G…
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 o…
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