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How are tests of independence similar to tests for homogeneity?

Short Answer

Expert verified

Both sorts of tests are concerned with data that has been cross-classified.

Step by step solution

01

Given Information

We have to explain the similarities between test of independence and the test for homogeneity

02

Explanation

Some of the parallels between tests of independence and tests of homogeneity are as follows:

Both sorts of testing deal with data that has been cross-classified.

Both test is carried out in the same way.

In both circumstances, the testing statistics are the same.

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Most popular questions from this chapter

You want to buy a specific computer. A sales representative of the manufacturer claims that retail stores sell this computer at an average price of \(1,249 with a very narrow standard deviation of \)25. You find a website that has a price comparison for the same computer at a series of stores as follows: \(1,299;\)1,229.99;\(1,193.08;\)1,279;\(1,224.95;\)1,229.99;\(1,269.95;\)1,249. Can you argue that pricing has a larger standard deviation than claimed by the manufacturer? Use the 5% significance level. As a potential buyer, what would be the practical conclusion from your analysis?

Read the statement and decide whether it is true or false.

The number of degrees of freedom for a test of independence is equal to the sample size minus one.

An ice cream maker performs a nationwide survey about favorite flavors of ice cream in different geographic areas of the U.S. Based on the Table, do the numbers suggest that geographic location is independent of favorite ice cream flavors? Test at the 5%significance level.

USRegionStraChocoVanRockyRoadMintChocolateChipPistachioTotalWest1221221915897Midwest1032221115696East83127815796South1528308156102Total45112101466027391

Transit Railroads is interested in the relationship between travel distance and the ticket class purchased. A random sample of 200passengers is taken. Table 11.31 shows the results. The railroad wants to know if a passenger’s choice in ticket class is independent of the distance they must travel.

Traveling DistanceThird classSecond classFirst classTotal1-100miles2114641101-200miles1816842201-300miles16171548301-400miles12.00%142147401-500miles661022Total736760200

State the hypothesis:

H0:

Hα:

The marital status distribution of the U.S. male population, ages 15and older, is as shown in Table 11.35.

Martial Status Percent Frequency
never married 31.3
married 56.1
widowed 2.5
divorced /separated 10.1
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