Question

A researcher finds a 0.31 Pearson's r correlation between amount of time it takes to complete a puzzle and IQ scores for 97 adult participants. What is the correct decision about the null hypothesis test? Group of answer choices a. Reject the null hypothesis with α= .05 but not with α= .01. b. Fail to reject the null hypothesis with α= .05 and with α= .01. c. Fail to reject the null hypothesis with α= .05 but not with α= .01. d. Reject the null hypothesis with α= .05 and with α= .01.

          A researcher finds a 0.31 Pearson's r correlation between amount of time it takes to complete a puzzle and IQ scores for 97 adult participants. What is the correct decision about the null hypothesis test? 
Group of answer choices
a. Reject the null hypothesis with α= .05 but not with α= .01.
b. Fail to reject the null hypothesis with α= .05 and with α= .01.
c. Fail to reject the null hypothesis with α= .05 but not with α= .01.
d. Reject the null hypothesis with α= .05 and with α= .01.
        
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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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A researcher finds a 0.31 Pearson's r correlation between amount of time it takes to complete a puzzle and IQ scores for 97 adult participants. What is the correct decision about the null hypothesis test? Group of answer choices a. Reject the null hypothesis with α= .05 but not with α= .01. b. Fail to reject the null hypothesis with α= .05 and with α= .01. c. Fail to reject the null hypothesis with α= .05 but not with α= .01. d. Reject the null hypothesis with α= .05 and with α= .01.
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Transcript

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00:01 In this question, we have been given to find out whether to accept or reject the null hypothesis based on the given information and here the value of test statistic that is t is given as 2 .53.
00:13 Now firstly, let us take the value of alpha as 0 .05.
00:17 Then the value of degrees of freedom will be here equals to it is n minus 1 so it will be 20 minus 1 that is 19.
00:24 So, here the t critical value can be written as it will be we can say 2 .09 and it has been written with the help of we can say t table and considering these two values.
00:37 Now here the alpha value is 0.
00:39 And then it will be here 0 .1.
00:41 So, here the value of degrees of freedom will be equals to n minus 1 and that is going to be 19...
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