Exam 1

1. Metainformation

   Tag	Value
   file	Inferential_Statistics_vufsw-testing-1125-en_vufsw-testing-1125-en
   name	vufsw-testing-1125-en
   section	inferential statistics/confidence intervals/testing
   type	schoice
   solution	TRUE, FALSE, FALSE, FALSE
   Type	performing analysis
   Program	calculator
   Language	English
   Level	statistical literacy

   Question

   A researcher draws a sample of 50 Dutch citizens and examines whether the confidence of the Dutch in politics is higher than the European average, of which we have a reliable population value based on previous studies.

   The sample mean is 6.38 (on a scale of 0-10) and the standard deviation is 1.55. The European average is 6.0. Test, with alpha = 0.05, whether the confidence of the Dutch in politics is higher than the European average. What is the conclusion?

   
   
   1. TRUE: There is enough evidence to reject H₀
   2. FALSE: There is not enough evidence to reject H₀
   3. FALSE: There is enough evidence to reject H_a.
   4. FALSE: There is not enough evidence to reject H _a.
   
   

   Solution

   You can not reject the H_a hypothesis, you can only reject the H₀ hypothesis.
   In order to undertake hypothesis testing you need to express your research hypothesis as a null and alternative hypothesis. The null hypothesis and alternative hypothesis are statements regarding the differences or effects that occur in the population. You will use your sample to test which statement (i.e., the null hypothesis or alternative hypothesis) is most likely (although technically, you test the evidence against the null hypothesis). You can reject or not reject the H₀ hypothesis.

   The H₀ hypothesis in this example states that the mean confidence of the Dutch in politics is 6.38. The H_a hypothesis is that the mean is higher than 6.38.

   se=1.55/(sqrt 50)=0.22

   t= (6.38-6.00)/0.22=1.73

   The t critical value (see table) for one tailed test (df=50) is 1.68. So, there is enough evidence to reject H₀

   If you want to learn more about hypothesis testing watch this clip.

   If you want to learn more about the statistical test about the mean watch this clip.

   Language
   Nederlands

   Levels of Difficulty
   Difficult

   M&T Hypothesis testing: proportions
   Default value

   M&T Multivariate Analyse
   Default value

   M&T Multivariate Analyse CW
   Default value

   
   
   1. True
   2. False
   3. False
   4. False