An industry study was recently conducted in which the sample correlation between units sold and marketing expenses was 0.64.The sample size for the study included 18 companies. Based on the sample results, test to determine whether there is a significant positive correlation between these two variables. Use α=0.01. Use t-distribution table. Answer parts a.,b. & c. a. What are the appropriate null and alternative hypotheses to test for a positive correlation? A. H0:ρ≥0 HA: ρ<0 B. H0: ρ=0 HA:ρ≠0 C. H0:ρ≤0 HA:ρ>0 D. H0:ρ<0 HA:ρ≥0 E. H0:ρ>0 HA:ρ≤0 F.H0:ρ≠0 HA:ρ=0 b. Calculate the t-test statistic for correlation t=____ (Round to four decimal places as needed) c. 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.) A. t0.01= - _____ B. t0.01= _____ C. t0.01= ± _____ Since the test statistic _____ in the rejection region. ______ the null hypothesis. The data ______ support the contention that there is a correlation between units sold and marlketing expenses.
An industry study was recently conducted in which the sample correlation between units sold and marketing expenses was 0.64.The sample size for the study included 18 companies. Based on the sample results, test to determine whether there is a significant positive correlation between these two variables. Use α=0.01. Use t-distribution table. Answer parts a.,b. & c. a. What are the appropriate null and alternative hypotheses to test for a positive correlation? A. H0:ρ≥0 HA: ρ<0 B. H0: ρ=0 HA:ρ≠0 C. H0:ρ≤0 HA:ρ>0 D. H0:ρ<0 HA:ρ≥0 E. H0:ρ>0 HA:ρ≤0 F.H0:ρ≠0 HA:ρ=0 b. Calculate the t-test statistic for correlation t=____ (Round to four decimal places as needed) c. 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.) A. t0.01= - _____ B. t0.01= _____ C. t0.01= ± _____ Since the test statistic _____ in the rejection region. ______ the null hypothesis. The data ______ support the contention that there is a correlation between units sold and marlketing expenses.
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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An industry study was recently conducted in which the sample correlation between units sold and marketing expenses was 0.64.The sample size for the study included 18 companies. Based on the sample results, test to determine whether there is a significant positive correlation
between these two variables. Use α=0.01.
between these two variables. Use α=0.01.
Use t-distribution table. Answer parts a.,b. & c.
a. What are the appropriate null and alternative hypotheses to test for a
positive correlation?
A. H0:ρ≥0
HA: ρ<0
HA:ρ≠0
HA:ρ>0
HA:ρ≥0
HA:ρ≤0
HA:ρ=0
b. Calculate the t-test statistic for correlation
t=____ (Round to four decimal places as needed)
c. 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.)
A. t0.01= - _____
B. t0.01= _____
C. t0.01= ± _____
Since the test statistic _____ in the rejection region. ______ the null hypothesis. The data ______ support the contention that there is a correlation between units sold and marlketing expenses.
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