Question

In: Math

The average daily sodium intake X) and the average systolic blood pressure (Y) of 25 patients...


The average daily sodium intake X) and the average systolic blood pressure (Y) of 25 patients with high blood pressure found a sample (Pearson product moment) correlation of 0.82. Assuming X and Y have a bivariate normal distribution.
(a) Give a 95% confidence interval for the population correlation coefficient.
(b) Test the hypothesis that X and Y are independent at level 0.05 using a large sample Z test statistic. Give the p-Value.
(c) Redo (b) use your answer in (a)

You can use R to solve it if it is easier

Solutions

Expert Solution

a. CI

b. Hypothesis

c. We see that confidence interval is  ( 0.6285,0.9178) which does not include zero. Hence we reject the null hypothesis and conclude that the correlation coefficient is significant.


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