Chapter 12.1, Problem 17E

To determine

To Explain: that there is convincing evidence of a negative linear relationship between heart disease deaths and wine consumption, yes or not.

Answer to Problem 17E

There is enough proof to proof the claim that there is a negative linear relationship between heart disease deaths and wine consumption in the population of countries.

Explanation of Solution

Given:

  

  $\begin{array}{l}n=19\\ b=-22.969\\ S{E}_b=3.557\end{array}$

Formula used:

Test statistic

  $\text{t=}\frac{b_1-{\beta }_1}{S{E}_{b_1}}$

Calculation:

Find the hypothesis:

  $\beta =0$

  $\beta <0$

The test statistic:

  $\text{t=}\frac{b_1-{\beta }_1}{S{E}_{b_1}}=\frac{-22.969-0}{3.557}=-6.457$

The P-value is the probability of getting the value of the test statistic, or a value more extreme. $df=n-2=19-2=17$

  $P<0.0005$

If the P-value is equal or lesser than to the significance level, then the null hypothesis is rejected:

  $P<0.05\Rightarrow \text{Reject }{H}_0$

There is enough proof to proof the claim that there is a negative linear relationship between heart disease deaths and wine consumption in the population of countries.