Asked by Matthew Mitrano on Jun 04, 2024
Verified
A study based on a sample of 14 participants calculates a value of 2.58 for the t-test for a single mean. For alpha (α) = .05 (two-tailed) , which of the following is the correct way to present this analysis?
A) t(13) = 2.58, p < .05
B) t(13) = 2.58, p > .01
C) t(14) = 2.58, p < .05
D) t(14) = 2.58, p < .01
T-test
A technique in statistics for comparing the means of two groups to see if they differ in a statistically significant way.
Alpha
Often referred to as the level of significance in hypothesis testing, it represents the threshold at which the null hypothesis is rejected.
- Understand the criteria for rejecting or not rejecting the null hypothesis with the use of p-values and significance thresholds (alpha values).
- Unravel the implications of differing significance levels and the insights gained from data with p < .01 and p < .05.
- Ascertain the relevant procedure for communicating the conclusions of a statistical investigation.
Verified Answer
ZK
Zybrea KnightJun 06, 2024
Final Answer :
A
Explanation :
The correct way to present the t-test analysis is with degrees of freedom (df), which is calculated as the sample size minus one (n-1). For a sample of 14, df = 14 - 1 = 13. The p-value indicates the probability of observing the test results under the null hypothesis. A p-value less than .05 indicates statistical significance at the alpha level of .05, hence "p < .05" is correct.
Learning Objectives
- Understand the criteria for rejecting or not rejecting the null hypothesis with the use of p-values and significance thresholds (alpha values).
- Unravel the implications of differing significance levels and the insights gained from data with p < .01 and p < .05.
- Ascertain the relevant procedure for communicating the conclusions of a statistical investigation.