Question

TEST CORRECTIONS 4. A study of 30 Major League baseball teams investigates whether more hits tends to be associated with more wins in a seasom. Consider hypothesis HO: correlation = 0 vs HA: correlation > 0. The sampe correlation is r=0.288 and the p-value is 0.059.

A. (I got this part right)

B. (I got this part right)

C. (I got this part right)

D. (I got this part right)

E. Consider the test with a two-tailed alternative, HO: p=0 vs HA: p DOES NOT = 0, where we make no assumption in advance on whether the association is positive or negative. What is the p-value for this test? _______________

F. (I got this part right)

G. (I got this part right)

H. State the conclusion of the two sided test in context, using non-technical language and significance level a=0.10.

Answer 1

Part E

P-value for corresponding one tailed test is given as 0.059.

So, P-value for corresponding two tailed test is given as double or twice of the P-value for one tailed test.

So, required P-value = 2*0.059 = 0.118

Answer: 0.118

Part H

For given two sided test, we have

P-value = 0.118

α = 0.10

P-value > α = 0.10

So, we do not reject the null hypothesis

There is insufficient evidence to conclude that the given population correlation coefficient is statistically significant.

There is insufficient evidence to conclude that the given population correlation coefficient is different from zero.

There is sufficient evidence to show that there is no significant correlation exists between two variables.