Exam 1

1. Metainformation

   Tag	Value
   file	Inferential_Statistics_vufsw-criticalvalue-0080-en_vufsw-criticalvalue-0080-en
   name	vufsw-criticalvalue-0080-en
   section	inferential statistics/nhst/significance level/critical value
   type	schoice
   solution	TRUE, FALSE, FALSE, FALSE, FALSE, FALSE
   Type	conceptual
   Program	NA
   Language	English
   Level	statistical reasoning

   Question

   Below is the distribution of the happiness level of a random sample of 1919 Dutch people (source: European Social Survey, 2016). Respondents were asked the following question: “All things considered, how happy would you say you are?” where the response options ranged between “very unhappy” (0) and “very happy” (10).

   We performed a t-test for two means (independent t-test) conducted to test whether there was a significant difference between young people (group 1: 18 to 30 years old) and older people (group 2: 65 years old or older). The results are shown in the output below.

   We test two-sided with a significance level of 5% (alpha=0.05).

   What is the critical t-value in this test? And in what case would this critical t-value change?

   

   
   
   1. TRUE: The critical t-value is 1.96. This critical t-value changes if we were to perform would perform a one-sided test.
   2. FALSE: The critical t-value is 1.96. This critical t-value changes if the standard error (SE) of the difference between the two averages would be smaller would be less than 0.05.
   3. FALSE: The critical t value is 1.96. This critical t-value changes if the difference between the two averages would be greater than 0.05.
   4. FALSE: The critical t-value is 0.34. This critical t-value changes if we were to perform would perform a one-sided test.
   5. FALSE: The critical t-value is 0.34. This critical t value changes if the standard error (SE) of the difference between the two averages would be smaller would be less than 0.05.
   6. FALSE: The critical t value is 0.34. This critical t-value changes if the difference between the two averages would be greater than 0.05.
   
   

   Solution

   Language Dutch

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