Mo Notes Ask your T T. O -11 points College students may be interested in whethe

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Mo Notes Ask your T T. O -11 points College students may be interested in whether or not their majors have any effect on starting salaries after graduation. Suppose that 301 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.) Major $50,000 $50,000 $68,999 $69,000 t English Engineering 9 Nursing Business 11 20 30 Psychology 19 30 19 Part (a) State the null hypothesis. O An individuals starting salary after graduation is independent of that individuals major in college. An individuals starting salary after graduation is dependent on that individuals major in college. E Part (b) State the alternative hypothesis. O An individuals starting salary after graduation is independent on that individuals major in college. An individual's starting salary after graduation is dependent ofthat individuals major in college. Part (c) What are the degrees of freedom? (Enter an exact number as an integer, fraction, or decimal.) Part (d) State the distribution to use for the test. E Part (e) what is the test statistic? (Round your answer to two dedmal places) Part (f)

Explanation / Answer

Part (a)

H0: Correct Answer: Option (a) An individual starting salary after graduation is independence of that individuals major in college

Part (b)

H1: Correct Answer: Option (B) An individual starting salary after graduation is dependence of that individuals major in college

Part (C)

degrees of freedom = (5-1)(3-1) = 8

Part (D) Correct Answer: Option (D)

Part (E)

Since

The expected frequencies are

Chisquare contribution values are

Test Statistic, X^2: 33.9964

Part (f)

P-Value: 0.0000

Part (g) correct Answer : Option (A)

Part (h) i) alpha = 0.05

ii) Correct Answer: Option (B) since alpha > p -value, so we reject H0

iii) Conclustion : Option (A)

0 <50000 50000-68999 69000+ Total English 6.03 12.718 14.252 33 Engineering 17.907 37.767 42.326 98 Nursing 7.492 15.8 17.708 41 Business 11.146 23.51 26.346 61.002 Psychology 12.425 26.21 29.369 68.004 Total 55 116 130.001 301.001

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