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Unemployed
the Data Below Are for the Number of Unemployed

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Unemployed
The data below are for the number of unemployed persons (in millions)and the federal unemployment insurance payments (in billions of dollars)for the years 1978 - 1985.Some economists state that these two variables are positively related.
 Year 19781979198019811982198319841985 Federal Unemployment Insurance Payments 11.810.718.019.723.731.518.416.8 Number of Unemployed Persons 6.26.17.68.310.710.78.58.3\begin{array}{|l|l|l|l|l|l|l|l|l}\hline \text { Year } & \mathbf{1 9 7 8} & \mathbf{1 9 7 9} & \mathbf{1 9 8 0} & \mathbf{1 9 8 1} & \mathbf{1 9 8 2} & \mathbf{1 9 8 3} & \mathbf{1 9 8 4} & \mathbf{1 9 8 5} \\\hline \text { Federal Unemployment Insurance Payments } & 11.8 & 10.7 & 18.0 & 19.7 & 23.7 & 31.5 & 18.4 & 16.8 \\\hline \text { Number of Unemployed Persons } & 6.2 & 6.1 & 7.6 & 8.3 & 10.7 & 10.7 & 8.5 & 8.3\end{array}

-A 95% confidence interval for the slope of the population regression line is (2.168,4.897)Explain how to use the confidence interval to test the hypothesis that the population slope is zero using a 0.05 level of significance.

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