a hypothesis test in

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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A researcher calculates a sample correlation of -0.8 from a sample of size 13. He
wants to conduct a hypothesis test in order to determine if the population
correlation is less than 0. What is the value of the test statistic? Round your final
answer to three decimals and enter it in the first blank.
What is the critical value cutoff for the rejection region? Use a value of alpha
and enter your answer in the second blank. Your critical value should include 3
decimals.
= 0.1
Blank # 1
Blank # 2
Transcribed Image Text:A researcher calculates a sample correlation of -0.8 from a sample of size 13. He wants to conduct a hypothesis test in order to determine if the population correlation is less than 0. What is the value of the test statistic? Round your final answer to three decimals and enter it in the first blank. What is the critical value cutoff for the rejection region? Use a value of alpha and enter your answer in the second blank. Your critical value should include 3 decimals. = 0.1 Blank # 1 Blank # 2
Expert Solution
Step 1

Null hypothesis H0:ρ=0

Alternative hypothesis H1:ρ<0

test statistics is t* = rn-21-r2  ~ tn-2  at 0.1

n = 13 , r = -0.8

Step 2

                    t* = rn-21-r2

                        = -0.8111-0.64= -4.422

critical value t11 at 0.1  is  1.363

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