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Statistical Inference

This quiz covers the fundamental concepts and techniques of statistical inference, including hypothesis testing, confidence intervals, and regression analysis.

15 Questions Published
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Questions

Question 1 Multiple Choice (Single Answer)

In hypothesis testing, the null hypothesis is:

  1. The hypothesis that is being tested
  2. The hypothesis that is assumed to be true
  3. The hypothesis that is rejected if the test statistic is significant
  4. The hypothesis that is accepted if the test statistic is not significant
Question 2 Multiple Choice (Single Answer)

The alternative hypothesis is:

  1. The hypothesis that is being tested
  2. The hypothesis that is assumed to be true
  3. The hypothesis that is rejected if the test statistic is significant
  4. The hypothesis that is accepted if the test statistic is not significant
Question 3 Multiple Choice (Single Answer)

The test statistic is:

  1. A measure of the difference between the observed data and the expected data
  2. A measure of the probability of obtaining the observed data
  3. A measure of the significance of the observed data
  4. A measure of the power of the test
Question 4 Multiple Choice (Single Answer)

The p-value is:

  1. The probability of obtaining the observed data, assuming the null hypothesis is true
  2. The probability of obtaining the observed data, assuming the alternative hypothesis is true
  3. The probability of rejecting the null hypothesis, assuming the null hypothesis is true
  4. The probability of rejecting the null hypothesis, assuming the alternative hypothesis is true
Question 5 Multiple Choice (Single Answer)

A confidence interval is:

  1. A range of values within which the true population parameter is likely to fall
  2. A range of values within which the sample statistic is likely to fall
  3. A range of values within which the test statistic is likely to fall
  4. A range of values within which the p-value is likely to fall
Question 6 Multiple Choice (Single Answer)

The level of significance is:

  1. The probability of rejecting the null hypothesis, assuming the null hypothesis is true
  2. The probability of rejecting the null hypothesis, assuming the alternative hypothesis is true
  3. The probability of accepting the null hypothesis, assuming the null hypothesis is true
  4. The probability of accepting the null hypothesis, assuming the alternative hypothesis is true
Question 7 Multiple Choice (Single Answer)

The power of a test is:

  1. The probability of rejecting the null hypothesis, assuming the null hypothesis is true
  2. The probability of rejecting the null hypothesis, assuming the alternative hypothesis is true
  3. The probability of accepting the null hypothesis, assuming the null hypothesis is true
  4. The probability of accepting the null hypothesis, assuming the alternative hypothesis is true
Question 8 Multiple Choice (Single Answer)

In regression analysis, the dependent variable is:

  1. The variable that is being predicted
  2. The variable that is being used to predict the dependent variable
  3. The variable that is being controlled for
  4. The variable that is being measured
Question 9 Multiple Choice (Single Answer)

In regression analysis, the independent variable is:

  1. The variable that is being predicted
  2. The variable that is being used to predict the dependent variable
  3. The variable that is being controlled for
  4. The variable that is being measured
Question 10 Multiple Choice (Single Answer)

In regression analysis, the coefficient of determination is:

  1. The proportion of the variance in the dependent variable that is explained by the independent variables
  2. The proportion of the variance in the dependent variable that is not explained by the independent variables
  3. The proportion of the variance in the independent variables that is explained by the dependent variable
  4. The proportion of the variance in the independent variables that is not explained by the dependent variable
Question 11 Multiple Choice (Single Answer)

In regression analysis, the standard error of the estimate is:

  1. The standard deviation of the residuals
  2. The standard deviation of the dependent variable
  3. The standard deviation of the independent variables
  4. The standard deviation of the coefficient of determination
Question 12 Multiple Choice (Single Answer)

In regression analysis, the t-statistic is:

  1. The ratio of the coefficient of determination to the standard error of the estimate
  2. The ratio of the coefficient of determination to the standard deviation of the dependent variable
  3. The ratio of the coefficient of determination to the standard deviation of the independent variables
  4. The ratio of the coefficient of determination to the standard deviation of the residuals
Question 13 Multiple Choice (Single Answer)

In regression analysis, the F-statistic is:

  1. The ratio of the mean square error to the mean square regression
  2. The ratio of the mean square regression to the mean square error
  3. The ratio of the mean square error to the standard error of the estimate
  4. The ratio of the standard error of the estimate to the mean square error
Question 14 Multiple Choice (Single Answer)

In regression analysis, the Durbin-Watson statistic is:

  1. A measure of the autocorrelation of the residuals
  2. A measure of the heteroskedasticity of the residuals
  3. A measure of the normality of the residuals
  4. A measure of the independence of the residuals
Question 15 Multiple Choice (Single Answer)

In regression analysis, the Breusch-Godfrey test is:

  1. A test for heteroskedasticity
  2. A test for autocorrelation
  3. A test for normality
  4. A test for independence
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