Question

12. Suppose a random sample of 30 participants found a correlation of r = .27 between number of minutes spent meditating and their score on a test of concentration ability. Is this enough evidence to conclude that there is a relationship between meditation and the ability to concentrate in general? Use α = .05, two -tailed. Clearly illustrate BOTH techniques as taught for Correlation (One if the standard formula and one is called the “easy” method). Be sure to be precise as to which formula is which. Draw a line on the page separating your work for each formula. Include your write up as well. (4 pts)

Please show all steps and work

Answer 1

I don't know what do you mean by "easy " method. I am showing the p -value method and critical value method .

→ The null and the alternative hypotheses are:- Ho: Pro versus H1 : 0 +0 where, p = population correlation coefficient n-2 The test statistic is :- T- 1 - pa 07. sample correlation coefficient = 0.37 n = sample size = 30 Note that, I follows a students t-distribution with df n-2=30-2=28 So, T = 0.27 30-2 = 1.484 1 -(0:27)2 • Decision criteria for critical value method: At d = 0.05, the critical value for the test t n-2 0.05 to.025:28 is : - : 30-2 =