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A researcher from the University of California, San Diego, collected data on average per capita wine consumption and heart disease death rate in a random sample of 19 countries for which data were available. The following table displays the data

Is there convincing evidence of a negative linear relationship between wine consumption and heart disease deaths in the population of countries?

Short Answer

Expert verified

There is sufficient evidence to support the claim that is a negative linear relationship between wine consumption and heart disease deaths in the population of contries.

Step by step solution

01

Given Information

We need to find whether there is convincing evidence of a negative linear relationship between wine consumption and heart disease deaths in the population of countries or not.

02

Simplify

Here, using technology, you find the following output:

Consider:

n=19b=-22.969SEb=3.557

Determine the hypothesis:

=0<0

Compute the value of the test statistic:

t=b11SEb1=22.96903.5576.457

The P-value is the probability of obtaining the value of the test statistic, or a value more extreme. The P-value is the number (or interval) in the column title of the Student's T table in the appendix containing the -value in the row df=n-2=19-2=17

P<0.0005

If the P-value is less than or equal to the significance level, then the null hypothesis is rejected:
P<0.05RejectH0

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