Mitcre secure https//edugen.wileyplus.com/edugen/lti/main uni Lock, Statistics:

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Mitcre secure https//edugen.wileyplus.com/edugen/lti/main uni Lock, Statistics: Unlocking the Power of Data, 1e US Help l System Announcements (1 Unread PRINTER VERSION 4 BACK MEXTH RCES Chapter 9, Section 1, Practice Problem 9.1B use the sample correlation r 0, 31 and the sample size n a 15 to see if there is evidence that the population correlation between the two variables is different than zero. (a) What are the null and alternative hypotheses? 0 vs Ha Ho what is the test statistic? Round your answer to three decimal pla 4.458

Explanation / Answer

Question a)

Null and Alternative Hypothesis:

Answer: Ho: rho = 0 vs Ha: rho not equl to 0

From the second line the second symbol we select.

Question b)

t = r * sqrt ((n-2)/(1-r^2))

   = 0.31 * sqrt ((15-2)/(1-0.31^2))

= 1.176

Answer: t = 1.176

Question c)

d.f = n – 2

      = 15 – 2

      = 13

Answer : d.f = 13

Question d)

p-value excel formula:

=TDIST(1.176,13,2)

= 0.2607

Answer: The P-value is 0.2607

Question e)

P-value > 0.05; we fail to reject the null hypothesis.

Answer: Fail to reject Ho.

                 Or

                Do not reject Ho.

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