# Chi-square test: Mall location & Degree of certainty

1. Sixty-four students in an introductory college economics class were asked how many credits they had earned in college, and how certain they were about their choice of major. Research question: At α = .02, is the degree of certainty independent of credits earned?

Observed frequencies

Credits Earned Very Uncertain Somewhat Certain Very Certain Row Total

0-9 12 8 3 23

10-59 8 4 9 21

60 or more 1 7 12 20

Col Total 21 19 24 64

Step 1: State the null and alternate hypotheses

Step 2: Select level of significance

a = 0.2

Step 3: Identify the test statistic and state its formula

Step 4: Formulate a decision rule

Step 5: Make a decision

2. A student team examined parked cars in four different suburban shopping malls. One hundred vehicles were examined in each location. Research question: At α = .025, does vehicle type vary by mall location?

Observed frequencies

Vehicle Type Somerset Oakland Great Lakes Jamestown Row Total

Car 44 49 36 64 193

Minivan 21 14 18 13 66

Full-sized Van 2 5 4 2 13

SUV 19 26 25 12 82

Truck 14 6 17 9 46

Col Total 100 100 100 100 400

Step 1: State the null and alternate hypotheses

Step 2: Select a level of significance

α = 0.025

Step: 3 Identify the test statistic and state its formula

Step: 4 Formulate a decision rule

Step: 5 Make a decision

See attached file.

Need solutions to steps 1-5 for the 2 attached questions.

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#### Solution Summary

The solution provides step by step method for the calculation of chi square test for association. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.