In: Statistics and Probability
| For each sample, do a test for zero correlation. | 
| a. | r = +0.50, n = 15, α = 0.05, two-tailed test | 
| b. | r = –0.35, n = 30, α = 0.10, two-tailed test | 
| c. | r = +0.64, n = 5, α = 0.05, right-tailed test | 
| d. | r = –0.31, n = 50, α = 0.01, left-tailed test | 
| (a) | What hypotheses are being tested for Sample A? | 
| a. | H0: ρ = 0 versus H1: ρ ≠ 0. | ||||||
| b. | H0: ρ ≥ 0 versus H1: ρ < 0. | ||||||
| c. | H0: ρ ≤ 0 versus H1: ρ > 0. | ||||||
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| (b) | 
 Perform the t test and report your decision. (Round tcalc answers to 3 decimal places and p-values to 4. Negative values should be indicated by a minus sign.)  | 
| Sample | tcalctcalc | p−valuep-value | Decision | 
| a | (Click to select)RejectFail to reject H0H0 | ||
| b | (Click to select)Fail to rejectReject H0H0 | ||
| c | (Click to select)Fail to rejectReject H0H0 | ||
| d | (Click to select)RejectFail to reject H0H0 | ||