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Chapter 11: Q. 45 (page 657)

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?

Short Answer

Expert verified

The market researcher will use the homogeneity test.

Step by step solution

01

Concept introduction

A hypothesis is a reasonable assumption for a behaviour (plural hypotheses). The scholarly approach involves that an assumption be validated before it can be deemed a factual prediction. Technical speculations are mainly influenced by past results that cannot be fully addressed by established scientific findings.

02

Explanation

It could be used to see if two populations have the very same distribution or not.

The test statistics for a testing of homogeneity and a testing of independence are generated using the same method.

The independence study checks at whether two variables are mutually excluded.

The market researcher is determining whether or not two stores have the same sales distribution throughout the year. As a result, the market researcher will use the homogeneity test.

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Most popular questions from this chapter

If df=2, the chi-square distribution has a shape that reminds us of the exponential.

Table 11.42contains information from a survey among 499participants classified according to their age groups. The second column shows the percentage of obese people per age class among the study participants. The last column comes from a different study at the national level that shows the corresponding percentages of obese people in the same age classes in the USA. Perform a hypothesis test at the 5% significance level to determine whether the survey participants are a representative sample of the USA obese population.

Age Class (Years) Obese Expected (percentage) Obese Observed (Frequencies)
20-30
22.4
122
31-40
18.6
104
41-50
12.8
78
51-60
10.4
64
61-70
35.8
168

Table11.42

Decide whether the following statements are true or false:

As the number of degrees of freedom increases, the graph of the chi-square distribution looks more and more symmetrical.

The City of South Lake Tahoe, CA, has an Asian population of 1,419people, out of a total population of 23,609. Suppose that a survey of 1,419self-reported Asians in the Manhattan, NY, area yielded the data in Table 11.38. Conduct a goodness-of-fit test to determine if the self-reported sub-groups of Asians in the Manhattan area fit that of the Lake Tahoe area.

RaceLake Tahoe FrequencyManhattan FrequencyAsian Indian131174Chinese118557Filipino1,045518Japanese8054Korean1229Vietnamese921Other2466

A teacher predict that the distribution of grades on the final exam will be and they are recorded in table 11.27

The actual distribution for a class of 20 is in table 11.28

Determine P value.
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