A researcher wants to study the relationship between salary and gender. She rand

Question

A researcher wants to study the relationship between salary and gender. She randomly selects 300 individuals and determines their salary and gender. Can the researcher conclude that salary and gender are dependent?

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Step 4 of 8 :

Find the value of the test statistic. Round your answer to three decimal places.

Income Male Female Total Below $25,000$?25,000 3434 3535 6969 $25,000$?25,000-$50,000$?50,000 2626 2828 5454 $50,000$?50,000-$75,000$?75,000 3434 3030 6464 Above $75,000$?75,000 6060 5353 113113 Total 154154 146146 300300

Explanation / Answer

The statistical software output for this problem is:

Contingency table results:
Rows: Income
Columns: None

Chi-Square test:

Hence,

Test statistic = 0.559

Male Female Total Below $25,000$?25,000 34 35 69 $25,000$?25,000-$50,000$?50,000 26 28 54 $50,000$?50,000-$75,000$?75,000 34 30 64 Above $75,000$?75,000 60 53 113 Total 154 146 300

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