Asked by Helen Jimenez on Jun 03, 2024
Verified
A researcher tests the mean of a sample of 22 people and calculates a value of 1.81 for the t-statistic. For α = .05 (two-tailed) , which of the following decisions is MOST appropriate?
A) do not reject null (p < .05)
B) do not reject null (p > .05)
C) reject null (p < .05)
D) reject null (p > .05)
T-statistic
A type of statistic used in hypothesis testing, particularly in situations dealing with small sample sizes or unknown standard deviations, to determine if there is a significant difference between two sets of data.
Null
Often refers to a value of zero in various contexts, such as null pointers in programming or null hypotheses in statistics.
Alpha
A threshold level used in statistics to determine the significance of results, often set at 0.05 or 5%.
- Decide the fitting course of action by examining the t-statistic alongside the alpha level.
Verified Answer
KB
kjdavid BennettJun 10, 2024
Final Answer :
B
Explanation :
With a t-statistic of 1.81 and a sample size of 22, the degrees of freedom would be 21. For a two-tailed test at α = .05, the critical t-value would typically be higher than 1.81 (exact value depends on the t-distribution table). Since the calculated t-statistic does not exceed the critical value, the p-value would be greater than .05, leading to the decision not to reject the null hypothesis.
Learning Objectives
- Decide the fitting course of action by examining the t-statistic alongside the alpha level.