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# Set up null and alternative hypotheses to test whether the population mean differs from 0.

INSTRUCTIONS TO CANDIDATES

1. Based on the following output, answer questions a) and b):

N Mean Std. Dev Std. Error

996 -0.052 1.253 0.0397

a) Set up null and alternative hypotheses to test whether the population mean differs from 0.

b) Find the test statistics and P-value. Interpret.

2. Based on the following output, answer questions a), b)

The test of independence between two ordinal variables is done by a Chi-Square and Gamma test in the following table.

Statistic DF Value Prob.

Chi-square 6 8.871 0.181

Statistic Value Std. error

Gamma 0.163 0.080

a) Use the listed chi-squared test to report the independence between variables.

b) The Gamma test of independence takes category ordering into account. Interpret results and compare to results of the chi-square test.

3. For a random sample of U.S. counties, data are obtained on X = percentage of the population aged over 50 and Y = per student expenditure on education. The following table is part of the computer output for the analysis.

Source DF Sum of squares Mean square F-ratio R-squire

Regression  1 ______ _________ ______ _______

Residual ___ 400000 _________

Total 49 500000

Variable Parameter estimate Std. Error t value Prob.

Intercept 1300.0 6.334 205.2 .0000

Age -5.0 1.443 ______ ______

a) What was the sample size for this study?

b) Fill in the blanks in the table.

c) Interpret intercept and slope in the table.

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