Question

In: Statistics and Probability

A researcher wants to study the relationship between salary and gender. She randomly selects 215 individuals...

A researcher wants to study the relationship between salary and gender. She randomly selects 215 individuals and determines their salary and gender. Can the researcher conclude that salary and gender are dependent?

Income Male Female Total
Below $25,000$⁢25,000 17 17 34
$25,000$⁢25,000-$50,000$⁢50,000 16 17 33
$50,000$⁢50,000-$75,000$⁢75,000 20 18 38
Above $75,000$⁢75,000 53 57 110
Total 106 109 215

Step 2 of 8 :  

Find the expected value for the number of men with an income below $⁢25,000. Round your answer to one decimal place.

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

B. Find the degrees of freedom associated with the test statistic for this problem.

C. Find the critical value of the test at the 0.05 level of significance. Round your answer to three decimal places.

D. Make the decision to reject or fail to reject the null hypothesis at the 0.05 level of significance.

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