Exam 1

1. Metainformation

   Tag	Value
   file	Inferential_Statistics_vufsw-width-1159-en_vufsw-width-1159-en
   name	vufsw-width-1159-en
   section	inferential statistics/confidence intervals/width
   type	schoice
   solution	TRUE, FALSE, FALSE, FALSE
   Type	calculation
   Program	calculator
   Language	English
   Level	statistical literacy

   Question

   A researcher is interested in the percentage of employees in the Netherlands who suffer from burn-out complaints. The researcher draws a random sample of 130 Dutch employees, for which we find: p̂ = 0.12

   Calculate the 95% confidence interval.

   
   
   1. TRUE: [0.064; 0.176]
   2. FALSE: [0.099; 0.141]
   3. FALSE: [0.091; 0.149]
   4. FALSE: [0.118; 0.122]
   
   

   Solution

   You can calculate this with the following formula: CI for p̂ +/- t(se) with se = (√(p̂(1 - p̂)) / n)

   Thus, se = (√ (0.12 * (1 - 0.12)) / 130 ) = 0.0285 and CI = 0.12 +/- 1.96 * 0.0285 = [0.064; 0.176]*
   *

   Language
   Nederlands

   Levels of Difficulty
   Medium

   M&T BIS
   Default value

   M&T Hypothesis testing: means
   Default value

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