Question

In a study, you measure how much participants are initially attracted to another person (X) and how anxious they become during their first meeting with that person (Y). Is there a relationship between attraction and anxiety? Test at an alpha of.05. Answer the following questions: X (Attraction) Y (anxiety)

Answer 1

First of all we need to calculate correlation coefficient as following type

Sum = 497 302 The correlation coefficient ris computed using the following expression: SSXY T = SSxx SSyy where 58xx - 3xx -(*) () $$x = $x* -(3x) 35y = ** -; () In this case, based on the data provided, we get that SSxy = 497 – 1 (50 x 90) = 47 $$xx = 302 – To (50)2 = 52 SSyy = 898 – bo (90)2 = 88 Therefore, based on this information, the sample correlation coefficient is computed as follows r= SSXY 47 SSXXSSYy52 x 88 a=0.695

The following needs to be tested: Ho: p=0 HA:=0 where p corresponds to the population correlation The sample size is n = 10, so then the number of degrees of freedom is df = n - 2 = 10 – 2 = 8 The corresponding critical correlation value re for a significance level of a = 0.05, for a two-tailed test is: rc = 0.632 Observe that in this case, the null hypothesis Ho : p= 0 is rejected if | | > re= 0.632 Based on the sample correlation provided, we have that r = 0.695 > pe= 0.632, from which is concluded that the null hypothesis is rejected.

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