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What is the t-test stat for correlation for the following problem?

What is the t-test stat for correlation for the following problem?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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What is the t-test stat for correlation for the following problem? Thank you

An industry study was recently conducted in which the sample correlation between units sold and marketing expenses was 0.73. The sample size for the study included 15 companies. Based on the sample results, test to determine whether there is a significant positive correlation between these two variables. Use α=0.01. Click the icon to view the t-distribution table. What are the appropriate null and alternative hypotheses to test for a positive correlation? A. Ho: p≤0 HA:P>0 OC. Ho: p²0 HA: P<0 O E. Ho: P<0 HA: P²0 Calculate the t-test statistic for correlation. t= (Round to four decimal places as needed.) t-Distribution Table Conf. Level One Tail Two Tails df 0.1 0.45 0.9 PROBABILITIES (OR AREAS UNDER 1-DISTRIBUTION CURVE) 0.5 0.7 0.8 0.25 0.15 0.1 0.5 0.3 0.2 Values of t 0.3 0.35 0.7 Print 0.9 0.05 0.1 Done 0.95 0.98 0.025 0.01 0.05 0.02 0.99 Conf. Level 0.005 One Tail 0.01 Two Tails df
Transcribed Image Text:An industry study was recently conducted in which the sample correlation between units sold and marketing expenses was 0.73. The sample size for the study included 15 companies. Based on the sample results, test to determine whether there is a significant positive correlation between these two variables. Use α=0.01. Click the icon to view the t-distribution table. What are the appropriate null and alternative hypotheses to test for a positive correlation? A. Ho: p≤0 HA:P>0 OC. Ho: p²0 HA: P<0 O E. Ho: P<0 HA: P²0 Calculate the t-test statistic for correlation. t= (Round to four decimal places as needed.) t-Distribution Table Conf. Level One Tail Two Tails df 0.1 0.45 0.9 PROBABILITIES (OR AREAS UNDER 1-DISTRIBUTION CURVE) 0.5 0.7 0.8 0.25 0.15 0.1 0.5 0.3 0.2 Values of t 0.3 0.35 0.7 Print 0.9 0.05 0.1 Done 0.95 0.98 0.025 0.01 0.05 0.02 0.99 Conf. Level 0.005 One Tail 0.01 Two Tails df
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What is the critical value for the rejection region for the t test stat? Thank you 

An industry study was recently conducted in which the sample correlation between units sold and marketing expenses was 0.73. The sample size for the study included 15 companies. Based on the sample results, test to determine whether there is a significant positive correlation between these two variables. Use α=0.01. Click the icon to view the t-distribution table. A. Ho: p≤0 HA:P>0 OC. Ho: p²0 HA: P<0 O E. Ho: p<0 HA: P²0 Calculate the t-test statistic for correlation. O B. to.01 = OC. to.01 t= 3.8511 (Round to four decimal places as needed.) Determine the critical value(s) for the rejection region for the test statistic t. Select the correct choice below and fill in the answer box to complete your choice. (Round to four decimal places as needed.) O A. to.005 = ± == OB. Ho:p> 0 HA:P≤0 = O D. Ho: p=0 HA: P#0 OF. Ho: p#0 HA: P=0
Transcribed Image Text:An industry study was recently conducted in which the sample correlation between units sold and marketing expenses was 0.73. The sample size for the study included 15 companies. Based on the sample results, test to determine whether there is a significant positive correlation between these two variables. Use α=0.01. Click the icon to view the t-distribution table. A. Ho: p≤0 HA:P>0 OC. Ho: p²0 HA: P<0 O E. Ho: p<0 HA: P²0 Calculate the t-test statistic for correlation. O B. to.01 = OC. to.01 t= 3.8511 (Round to four decimal places as needed.) Determine the critical value(s) for the rejection region for the test statistic t. Select the correct choice below and fill in the answer box to complete your choice. (Round to four decimal places as needed.) O A. to.005 = ± == OB. Ho:p> 0 HA:P≤0 = O D. Ho: p=0 HA: P#0 OF. Ho: p#0 HA: P=0
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