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Is it possible to reject the null hypothesis AND reject the alternative hypothesis?   If the alternative...

Is it possible to reject the null hypothesis AND reject the alternative hypothesis?  

If the alternative hypothesis is: "There is a strong positive correlation between quality of sleep and academic success" and I find that the correlation coefficient is .39 (not strong) what would the null hypothesis be, and would I accept that. The sample size is 60 and the p value is below my level of significance of .05

Math   Statistics-And-Probability   
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Answer #1

Given:

The correlation coefficient = 0.39

The alternative hypothesis is:

Ha : "There is a strong positive correlation between quality of sleep and academic success.

So the null hypothesis is

Ho : "There is no strong positive correlation between quality of sleep and academic success.

The sample size = 60 and

The p-value is below level of significance of 0.05

Since p-value is less than significance level 0.05, we reject null hypothesis.

Reject null hypothesis.

so there is a strong positive correlation between quality of sleep and academic success.

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