Consider the following competing hypotheses h0 xy 0 ha xy 0...

Consider the following competing hypotheses: H0: ρxy ≥ 0 HA: ρxy < 0 The sample consists of 35 observations and the sample correlation coefficient is -0.51. a-2. Find the p-value. p-value < 0.01 p-value > 0.10 0.05 p-value < 0.10 0.025 p-value < 0.05 0.01 p-value < 0.025

Transcript

00:01 Hi, i'm david and i'm here to have you answer your question.

00:04 Now let me bring up your question here.

00:07 In the question here, we are going to discuss about the high -partice testing.

00:11 He wants to test the null hypothesis with the correlation coefficient critical equal to the 0 it will equal to the r or square root of the 1 minus r square over 1 and minus 2 so that's how we have r equal to the minus 0 .51 divided by square root of the 1 minus minus 0 .51 square root of the 1 minus 0 0 .51 square over n here equal to the 35 minus 2 so if we compare this one we get equal to dividing by 33 taking the square root then 0 0 .0 51 different way the answer it will equal to the minus 3 point 406 and now the next step we can find the b value to find the b value i need to bring up the t table so let me come in the t table and i put it below here now let me make it smaller and in this table here we will need to look for the degree of freedom it will equal to the n minus 2 so equal to the 35 minus 2 equal to the 305 minus 2 equal to the 30 look at the table we don't have the 33 degree freedom, so we will choose between the 30 and the 40.

01:47 So 33 will be between the 13 and 40.

01:50 And i have to choose the one in the previous one, so it will be the 30 here.

01:56 I'm trying to fit the test statistics inside.

01:59 I will turn the positive value only, so it will be the 3 .406.

02:03 It will try to fit it in.

02:06 We will see it will be between the two values here...