How to compute the test statistic


Discuss te below:

Q: The shopping behavior of consumers in different types of stores was studied. Data were collected on buying patterns and income levels. A cross-classification table of buying pattern versus income levels for 200 consumers in the sample is reproduced below.

a. State in English the null and alternate hypothesis.

b. For each cell, convert proportions to number of respondents.

c. Compute the test statistic.

d. Compute the critical value at the 0.05 level of significance.

e. Report results of hypothesis testing (e.g., reject ...., and in english)

f. Finally, recommend a targeting strategy for the management of Dillards

STORE VISITED INCOME LEVELS (in thousands of $) Total
MOST FREQUENTLY 20 - 30 30 - 50 Above 50 Respondents
KMART 0.3 0.30 0.125 46
J C PENNEY 0.30 0.30 0.125 46
DILLARDS 0.40 0.40 0.750 108
TOTAL RESPONDENTS 60 60 80 200
Entries in the table are proportions

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Basic Statistics: How to compute the test statistic
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