Asked by Julannah Cobbs on Jun 02, 2024
Verified
For α = .05 (two-tailed) , which of the following is an appropriate critical value?
A) 1.703
B) 1.706
C) 2.052
D) 2.056
Critical Value
A threshold in hypothesis testing that determines the boundary for rejecting the null hypothesis, based on the chosen significance level.
Two-tailed
A test of significance that considers the possibility of both an increase and a decrease in the measured variable, effectively doubling the critical regions for a given alpha level.
- Identify suitable critical values for conducting hypothesis tests based on a specified alpha level.
Verified Answer
JF
Jonathan FlowersJun 03, 2024
Final Answer :
C
Explanation :
Since the sample size is less than 30 and the population standard deviation is unknown, we need to use a t-distribution. The degrees of freedom for this problem are 27 (n-1 = 28-1). Looking up the critical value for a two-tailed t-test with α = .05 and 27 degrees of freedom in a t-table, we get 2.052. Therefore, C is the correct answer.
Learning Objectives
- Identify suitable critical values for conducting hypothesis tests based on a specified alpha level.