In: Statistics and Probability
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.