QUESTION 7

A recent study by the World Bank wished to determine whether there was a relationship between the abundance of natural resources in a country and its long termrate of economic growth. Their study used 65 countries (n) over a long period to 1995. Letting Y be therate of growth measured as a percentage and X be a measure of natural resource abundance, the following relationship between the two variables was estimated. Standard errors forb_oandb₁are reported in parentheses under the coefficientsb_oandb₁

Yhat = 5.272 - 0.0047 X

(1.463)(0.0035)

To test the significance of the relationship, a 5% level of significance was adopted.

1. State the direction of the alternative hypothesis used to test the statistical significance of the relationship. Type gt (greater than), ge (greater than or equal to), lt (less than), le (less than or equal to) or ne (not equal to) as appropriate in the box. _______

2. Calculate the test statistic, reporting your answer to two decimal places. ______

3. Use the tables in the textbook to determine the critical value for this test (in absolute terms) to three decimal places.______

4. Is the null hypothesis rejected for this test? Type yes or no. _____

5. Disregarding your answer in part 4, if the null hypothesis was not rejected, would there appear to be a linear relationship between resource abundance and economic growth? Type yes or no. _____