Asked by Kirstan Woodward on Jul 14, 2024
Verified
A researcher conducts a study measuring 10 people before and after they watch a movie and obtains a value of 2.85 for the t-statistic. For a non-directional alternative hypothesis, which of the following is the correct way to present this analysis?
A) t(10) = 2.85, p < .05
B) t(9) = 2.85, p < .05
C) t(18) = 2.85, p < .05
D) t(20) = 2.85, p < .01
Non-directional Hypothesis
A hypothesis that specifies there is a difference or relationship, but not the direction of the difference or relationship between variables.
T-statistic
A type of statistic calculated from sample data, used in hypothesis testing to determine whether to reject the null hypothesis, particularly in t-tests.
- Calculate and comprehend the importance of t-statistic values.
Verified Answer
SB
shubham bharadwajJul 16, 2024
Final Answer :
B
Explanation :
In a study where measurements are taken before and after an intervention on the same subjects, the degrees of freedom (df) for a paired samples t-test is calculated as the number of pairs minus one. Since there are 10 people (10 pairs of before and after measurements), the degrees of freedom is 10 - 1 = 9, making the correct presentation of the t-statistic t(9) = 2.85. The p-value is typically determined by the context of the t-distribution and the calculated t-statistic, but without specific p-value thresholds given, p < .05 is a common significance level used in social sciences, making option B the correct choice.
Learning Objectives
- Calculate and comprehend the importance of t-statistic values.