Exam 1

1. Metainformation

   Tag	Value
   file	Inferential_Statistics_vufsw-chi-squared-1166-en_vufsw-chi-squared-1166-en
   name	vufsw-chi-squared-1166-en
   section	inferential statistics/nhst/test statistic/chi-squared
   type	schoice
   solution	TRUE, FALSE, FALSE, FALSE
   Type	performing analysis
   Program	calculator
   Language	English
   Level	statistical literacy

   Question

   Given is the following crosstab with international data about a group of students: the country in which someone lives in the rows and experience with cannabis use in the columns. The values in the cells are the actually observed frequencies (see table below).

   Ever used Cannabis?	yes	no	total
   The Netherlands	36	114	150
   France	56	104	160
   Germany	40	118	158
   Italy	49	103	152
   Total	181	439	620

   Which of the following statements is / are true?

   I. The number of French school students who have ever used cannabis is greater than the expected value for independence between country and cannabis use.

   2. The number of observed Dutch students who have ever used cannabis is greater than the expected number of independence between country and cannabis use.
   
   
   1. TRUE: Only statement I is true
   2. FALSE: Only statement II is true
   3. FALSE: Both statements are true
   4. FALSE: Neither statement is correct.
   
   

   Solution

   concerning I: total 181/620=0.29 , thus 29% total yes.
   For France this would be 0.29*160=46.7.
   Thus 56 (counted) is more than expected .
   Thus I is true

   Concerning II: for the Netherlands: 0.29*150=43.5 to be expected if country and cannabis use is independent.
   Thus 36 is less than expected.
   Thus II is not true.

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