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Statistics - Hypothesis Testings of Relationships

Problem #1

A total of 200 people in each of three grocery stores were asked if they favored, opposed,
or were indifferent to the sale of lottery tickets in grocery stores. The results of the survey
are summarized below. Test the hypothesis at α= 0.05.

Opinion Store A Store B Store C
Favor 21 78 94
Oppose 101 63 27
Indifferent 78 59 79

Prolem #2

A professor of economics wants to study the relationship between income (y in $1000s) and education (x in years). A random sample eight individuals is taken and the results are shown below.

Education 16 11 15 8 12 10 13 14
Income 58 40 55 35 43 41 52 49
Test to see if there is any significant relationship between income and education. Use α = .05.

Problem #3

Thirty-five employees who completed two years of college were asked to take a basic mathematics test. The mean and standard deviation of their scores were 75.1 and 12.8, respectively. In a random sample of 50 employees who only completed high school, the mean and standard deviation of the test scores were 72.1 and 14.6, respectively.

a. Can we infer at the 10% significance level that a difference exists between the two groups?
b. Estimate with 90% confidence the difference in mean scores between the two groups of employees. Explain how to use this interval estimate to test the hypotheses.

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Solution Summary

A total of 200 people in each of three grocery stores were asked if they favored, opposed,

$2.19