College students may be interested in whether or not their majors have any effec

Question

College students may be interested in whether or not their majors have any effect on starting salaries after graduation. Suppose that 302 recent graduates were surveyed as to their majors in college and their starting salaries after graduation. Below are the data. Conduct a test of independence. (Use a significance level of 0.05.)

What is the test statistic? (Round your answer to two decimal places.)

What is the p-value? (Round your answer to four decimal places.)

ndicate the correct decision ("reject" or "do not reject" the null hypothesis) and write the appropriate conclusion.

Major < $50,000 $50,000 - $68,999 $69,000 + English 4 21 6 Engineering 11 30 60 Nursing 11 14 16 Business 9 21 29 Psychology 21 30 19

Explanation / Answer

The statistical software output for this problem is:

Contingency table results:
Rows: Major
Columns: None

Chi-Square test:

Hence,

Test statistic = 35.25

p - Value = 0.0000

Correct Decision: Reject the null hypothesis.

Conclusion: There is an assiciation between majors and starting salary after graduation.

< $50,000 $50,000 - $68,999 $69,000 + Total English 4 21 6 31 Engineering 11 30 60 101 Nursing 11 14 16 41 Business 9 21 29 59 Psychology 21 30 19 70 Total 56 116 130 302

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