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Homework: HW-12 Save Score: 10 of 15 pts HUN Score: 24%, 24 of 100 pts 2 of 7 (2 complete) 14.2.10-1T Question Help A university would like to describe the relationship between the GPA and the starting monthly salary of a graduate who earned a business degree from the university. The table shown below gives the monthly starting salaries for five graduates of the business school along with her corresponding GPAs These data have a sample correlation coefficient, rounded to three dec mal places of 0.935 Ung α-0.05, test if the population correlation coefficient between the starting salary and the GPA of a university business graduate is greater than zero Starting Salary GPA $2.600 3.2 $3.000 3.5 $2.600 2.7 $3,000 3.6 $2,300 2.4 What are the correct null and alternative hypotheses? H:p>0 C. Ho:p20 Click to select your answer and then click Check Answer

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Answer 1

Date: 20/04/2019 Answer To test the hypothesis is that the population correlation coeffcient between the starting salary and GPA of a university business is greater than zero at 1 % level ofsignificance. The null and alternative hypothesis is, Ha p>0 The t-test statistics is, rx VN-2 M-T2 0.935 x 52 1- (0.935)2 4.57 The t-test statistics is 4.57 The p-value is

find the area to the right, so subtract from 1 to get P(t > 4.57) 1-(t < 4.57) -11.000 = 0 .000 The p-value is0000 Decision The conclusion is that p-value in this context is less than 0.01 which is 0.000, so the null hypothesis is rejected at 1% level of significance. There is sufficient evidence to indicate that the population correlation coefficient between the starting salary and GPA of a university business is greater than zero. The result is statistically significant