Exercise 14 5 Algo A Sample Of 12 Observations Provides The Following Statistics You May Find It Useful To Reference T 1 (92.9 KiB) Viewed 34 times
Exercise 14-5 Algo A sample of 12 observations provides the following statistics: (You may find it useful to reference the t table.) sx = 16, sy = 21, and sxy = 117.75 a-1. Calculate the sample correlation coefficient rxy. (Round your answer to 4 decimal places.) Sample correlation coefficient a-2. Interpret the sample correlation coefficient rxy. The correlation coefficient indicates a positive linear relationship. The correlation coefficient indicates a negative linear relationship. The correlation coefficient indicates no linear relationship.
b. Specify the hypotheses to determine whether the population correlation coefficient is positive. Ho: Pxy s 0; HA: Pxy > 0 Ho: Pxy = 0; HA: Pxy < 0 Ho: Pxy = 0; HA: Pxy + 0 C-1. Calculate the value of the test statistic. (Round final answer to 3 decimal places.) Test statistic
c-2. Find the p-value. 0.05 ? p-value < 0.10 0.025 ? p-value < 0.05 O 0.01 ? p-value < 0.025 p-value ? 0.10 p-value < 0.01 d. At the 1% significance level, what is the conclusion to the test? Reject Ho; we can state the population correlation is positive. Reject Ho; we cannot state the population correlation is positive. Do not reject Ho; we can state the population correlation is positive. Do not reject Ho; we cannot state the population correlation is positive.
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