Asked by amarbir chahal on Apr 27, 2024
Verified
A study based on a sample of 22 participants calculates a value of 1.86 for the t-statistic. For alpha (α) = .05 (two-tailed) , which of the following is the correct way to present this analysis?
A) t(20) = 1.86, p > .01
B) t(21) = 1.86, p > .05
C) t(21) = 1.86, p < .01
D) t(22) = 1.86, p < .05
T-statistic
A type of statistic used in hypothesis testing, calculated to compare the mean of a sample to the known mean of the population.
Null Hypothesis
The hypothesis that predicts no relationship or effect between the independent and dependent variables being studied.
Alpha
Alpha, in statistics, is the threshold p-value that determines the critical level of significance at which the null hypothesis can be rejected, typically set at 0.05.
- Conclude on the null hypothesis' validity by comparing p-values with predetermined significance alpha levels.
- Recognize the appropriate way to report the results of a statistical analysis.
Verified Answer
MM
Madalyn MudrackMay 01, 2024
Final Answer :
B
Explanation :
The correct way to present the analysis is with the degrees of freedom (df), which is calculated as the sample size minus one (n-1). For a sample of 22, df = 22 - 1 = 21. The p-value is not specified, but "p > .05" indicates that the result is not statistically significant at the .05 level, which is consistent with a t-value of 1.86 without knowing the exact critical value for this df.
Learning Objectives
- Conclude on the null hypothesis' validity by comparing p-values with predetermined significance alpha levels.
- Recognize the appropriate way to report the results of a statistical analysis.