Exam 1

1. Metainformation

   Tag	Value
   file	Inferential_Statistics_vufsw-chi-squared-1133-en_vufsw-chi-squared-1133-en
   name	vufsw-chi-squared-1133-en
   section	inferential statistics/nhst/test statistic/chi-squared
   type	schoice
   solution	FALSE, FALSE, TRUE, FALSE
   Type	conceptual
   Program	NA
   Language	English
   Level	statistical literacy

   Question

   An investigation among the members of a large trade union organization on the relationship between their degree of involvement (low, middle, high) at the trade union and their participation in a strike (yes, no) provides the following data:

   	involvement
   	low	middle	high	total
   participation in strike
   yes	30	25	70	125
   no	70	25	30	125
   total	100	50	100	250

   What is the critical chi square value in this test with a significance level  alpha= 0.05?

   
   
   1. FALSE: 1.96
   2. FALSE: 3.84
   3. TRUE: 5.99
   4. FALSE: 124.3
   
   

   Solution

   The degrees of freedom (df) is 2 and alpha=0.05, so the critical value of chi square is 5.99 (see table)
   (1.96 is the critical value of the t distribution with more than 100 degrees of freedom. )
   (3.84 is the critical value of the chi square distribution if there is only one degree of freedom)
   (124.3 is the critical value of the chi square distribution if there are 100 degrees of freedom)

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