Exam 1

1. Metainformation

   Tag	Value
   file	Inferential_Statistics_uu-z-test-801-en_uu-z-test-801-en
   name	uu-z-test-801-en
   section	Inferential Statistics/Parametric Techniques/z-test
   type	schoice
   solution	TRUE, FALSE, FALSE, FALSE
   Type	Case
   Language	English
   Level	Statistical Literacy

   Question

   The number of violent crimes in the Netherlands is normally distributed with an average $\mu = 2.6$ per day and a standard deviation $\sigma = 0.5$. One researcher hypothesized that violent crime rates increase in hot weather. In a sample of 25 warm days, an average of 2.8 violent crimes per day is found. The researcher performs a one-sided z-test. At what significance level $\alpha$ Is the null hypothesis rejected?

   
   
   1. TRUE: The $H_0$ is rejected at $\alpha$ = 5%, but not at $\alpha$ = 1%.
   2. FALSE: The $H_0$ is rejected at $\alpha$ = 1%, but not at $\alpha$ = 5%.
   3. FALSE: The $H_0$ becomes both at $\alpha$ = 5% as at $\alpha$ = 1% rejected.
   4. FALSE: The $H_0$ is rejected neither at $\alpha$ = 5% nor at $\alpha$ = 1% rejected.