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# Multiple Choice Questions on Statistics

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6. In testing a hypothesis using the X2 test, the theoretical frequencies are based on the

a. null hypothesis.
b. alternative hypothesis.
c. normal distribution.
d. None of the above.

7. If we wish to determine whether there is evidence that the
proportion of successes is higher in group 1 than in group 2, the
appropriate test to use is
a. the Z test.
b. the X2 test.
c. Both of the above.
d. None of the above.

8. The Y-intercept (b0) represents the
a. estimated average Y when X = 0.
b. change in estimated average Y per unit change in X.
c. predicted value of Y.
d. variation around the sample regression line.

9. If the Durbin-Watson statistic has a value close to 4, which
assumption is violated?
a. Normality of the errors.
b. Independence of errors.
c. Homoscedasticity.
d. None of the above.

10. The coefficient of determination (r2) tells us
a. that the coefficient of correlation (r) is larger than 1.
b. whether r has any significance.
c. that we should not partition the total variation.
d. the proportion of total variation that is explained.

11. The coefficient of multiple determination r2Y.12
a. measures the variation around the predicted regression
equation.
b. measures the proportion of variation in Y that is explained by X1
and X2.
c. measures the proportion of variation in Y that is explained by X1
holding X2 constant.
d. will have the same sign as b1

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#### Solution Preview

6. In testing a hypothesis using the X2 test, the theoretical frequencies are based on the

a. null hypothesis.
b. alternative hypothesis.
c. normal distribution.
d. None of the above.

Answer: a. null hypothesis.

7. If we wish to determine whether there is evidence that the
proportion of successes is higher in group 1 than in group 2, the
appropriate test to use is
a. the Z test.
b. the X2 test.
c. Both of the above.
d. None of the above.

Answer: a. the Z test.

Z-test can test either one-sided alternatives or two-sided alternative, but chi-square test can ...

#### Solution Summary

Answers to multiple choice questions on Regression, Null Hypothesis, Alternative Hypothesis, Z test, Durbin-Watson statistic, coefficient of determination, coefficient of multiple determination.

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