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Correlations                  Relationship happiness   Risk-Taking Relationship happiness   Pearson Correlation   1   -.097    Sig....

Correlations          
       Relationship happiness   Risk-Taking
Relationship happiness   Pearson Correlation   1   -.097
   Sig. (2-tailed)       .053
   N   400   400
Risk-Taking   Pearson Correlation   -.097   1
   Sig. (2-tailed)   .053  
   N   400   400

#7. Look at the correlation between Risk-Taking (R) and Relationship Happiness (HAPPY). Use the standard alpha level of 5%. How would you describe the relationship?

a. The relationship is non-significant.
b. There is a significant negative relationship.
c. There is a significant positive relationship.
d. The correlation is zero.

   Sig. (2-tailed)   .053  
   N   400   400

Math   Statistics-And-Probability   
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Answer #1

#7. Here, correlation between Risk-Taking (R) and Relationship Happiness (HAPPY) is -.097 which is very weak negative correlation and P-value is  .053  

Hypothesis is, Ho: No correlation present between Risk-Taking (R) and Relationship Happiness (HAPPY).

H1: Correlation is present between Risk-Taking (R) and Relationship Happiness (HAPPY).

we know p value is the probability of finding a statistic which is as extreme as our observed statistic assuming null hypothesis is true.

As p value 0.053 is greater than 0.05, at 5% alpha level we failed to reject Ho .That is we could not find any significant relationship.

Hence, Answer : a. The relationship is non-significant.

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