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For each exercise, decide at 10% significance level, whether the data provide sufficient evidence to reject the null hypothesis in favour of alternate hypothesis

Ha :p≠0

Short Answer

Expert verified

Ha: p≠0 is rejected. The variables are not linearly correlated.

Step by step solution

01

Correlation Coefficient 

Sample correlation coefficient r is calculated by : r=∑zxzy/(n-1) 

where zxn=(xn-xmean)/standarddeviation, and same for zyn

Using excel and above formula concept,r=-0.7206

02

Hypothesis Testing 

r≠0for sample needs to be tested using hypothesis testing, to ensure that the population correlation parameter parameter p (rho) ≠0

t=r/(1-r2) /(n-2) -0.7206/0.4807/2-0.7206/0.4903t=-1.469

As t calculated value at 0.10 significance level is more that, and p value at the same significance level =0.2794is more

So, we accept the null hypothesis in p=0, and reject the null hypothesis.

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