Exam 1

1. Metainformation

   Tag	Value
   file	Inferential_Statistics_vufsw-hypothesis-1185-en_vufsw-hypothesis-1185-en
   name	vufsw-hypothesis-1185-en
   section	inferential statistics/nhst/hypothesis
   type	schoice
   solution	FALSE, FALSE, FALSE, FALSE, TRUE
   Type	performing analysis
   Program	calculator
   Language	English
   Level	statistical thinking

   Question

   A politician thinks that in a new referendum on the Brexit, 53% of the British would vote in favour of remaining in the EU.

   A researcher doubts that this assumption is true and thinks that this percentage is lower. He draws a random sample of respondents (n=202) to study this. In this sample, 51% of the respondents answer that in a new referendum on the Brexit, they would vote in favour of remaining in the EU.

   What is the probability to get such a proportion (or more extreme), if we assume that the assumption of the politician is true?

   
   
   1. FALSE: 1.71%
   2. FALSE: 2.22%
   3. FALSE: 5.7%
   4. FALSE: 19.78%
   5. TRUE: 28.4%
   
   

   Solution

   False.

   We first need to calculate the z-score for our sample observation.

   se = sqrt [ (0,53 * 0,47) / 202 ] = 0,035

   z = (0,51 - 0,53) / 0,035 = -0,57

   Subsequently, the P-value for this z-score can be found in Table A.

   P = 0,2843

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