A nationwide standardized test taken by high-school juniors and seniors may or may not measure academic potential, but we can nonetheless examine the relationship between scores on such tests and performance in college.

We have chosen a random sample of 95 students just finishing their first year of college, and for each student we've recorded her score on one such standardized test and her grade point average for her first year in college. The sample correlation coefficient r for our data is approximately .27. Based on these sample results, test for a significant linear relationship between the two variables score on this standardized test and first-year college grade point average by doing a hypothesis test regarding the population correlation coefficient . (Assume that the two variables have a bivariate normal distribution.) Use the level of significance 0.5, and perform a two-tailed test. Then fill in the table below.

Find

Null Hypothesis

Alternate hypothesis

The type of test statistic

The value of test statistic

The P- value

Based on the samples results can we conclude(using the .5 significance level) that there is a significant linear relationship between score and standarized test and first year college GPA? yes or no....

Thanks so much.....