Question

Consider the following competing hypotheses: He: Pxy = 0 НА: Рxy = 0 The sample consists of 18 observations and the sample correlation coefficient is 0.15. (You may find it useful to reference the t table.) a-1. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic a-2. Find the p-value 0.05 s p-value <0.10 0.02 s p-value <0.05 0.01 s p value <0.02 pvalue <0.01

Answer 1

Correlation coefifient Correlation coeficient 0.15 18 n = Test hypothesis are Null hypothesis Ho: Pxy HA: Pxy 0 a-1 Alternate hypothesis Test statistic Test statistic - Sxy Sxx Syy a-2 0.15*sqrt((18-2)/(1-0.1542)) 0.606866 0.607 P-value P-value = 0.5524 (two tailed) p-value > 0.10 Result Since p-value > 0.1 hence fail to reject the null hypothesis Coclusion There is no correlation between the variables x and y 4th option is correct b)