Consider the following set of ordered pairs. x 4 2 4 3 6 4 y 5...

Consider the following set of ordered pairs. x 4 2 4 3 6 4 y 5 7 7 4 2 7 a) Calculate the correlation coefficient. b) Using alpha equals 0.05, perform a hypothesis test to determine if the population correlation coefficient is less than zero. LOADING... Click the icon to view a portion of the Student's t-distribution table. a) requals nothing (Round to three decimal places as needed.) b) Determine the null and alternative hypotheses. Upper H 0: rho ▼ less than or equals greater than or equals less than greater than not equals equals 0 Upper H 1: rho ▼ greater than less than or equals equals less than not equals greater than or equals 0 The t-test statistic is nothing. (Round to three decimal places as needed.) The critical t-score(s) is(are) nothing. (Round to three decimal places as needed. Use a comma to separate answers as needed.) Because the test statistic is ▼ equal to less than greater than the critical value, ▼ do not reject reject the ▼ alternative hypothesis. null hypothesis. One ▼ cannot can conclude that the population correlation coefficient is ▼ equal to not equal to greater than less than zero.

Expert Solution

a)

r =-0.631

b)

null hypothesis:Ho		ρ	=	0
Alternate Hypothesis:Ha:		ρ	<	0

t-test statistic =-1.628

critical t-score = -2.132

Because the test statistic is greater than the critical value do not reject null hypothesis. One cannot conclude that the population correlation coefficient is less than zero.

milcah answered 2 years ago

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