Listed below are pretest and posttest scores from a study. Using a 5% significan
ID: 3156901 • Letter: L
Question
Listed below are pretest and posttest scores from a study. Using a 5% significance level, is there statistically sufficient evidence to support the claim that the posttest scores were the higher than the pretest scores? Perform an appropriate hypothesis test showing necessary statistical evidence to support your final given conclusion. PreTest PostTest 24 25 11 18 14 16 25 29 17 16 28 29 22 25 Listed below are pretest and posttest scores from a study. Using a 5% significance level, is there statistically sufficient evidence to support the claim that the posttest scores were the higher than the pretest scores? Perform an appropriate hypothesis test showing necessary statistical evidence to support your final given conclusion. PreTest PostTest 24 25 11 18 14 16 25 29 17 16 28 29 22 25Explanation / Answer
Formulating the null and alternative hypotheses,
Ho: ud <= 0
Ha: ud > 0
As alpha is not given, we set level of significance = 0.05.
As we can see, this is a right tailed test.
The differences are
1
7
2
4
-1
1
3
Calculating the standard deviation of the differences (third column):
s = 2.274696117
Thus, the standard error of the difference is sD = s/sqrt(n):
sD = 0.859754319
Calculating the mean of the differences (third column):
XD = 2.428571429
As t = [XD - uD]/sD, where uD = the hypothesized difference = 0 , then
t = 2.824727221
As df = n - 1 = 6
Then the critical value of t is
tcrit = + 1.943180281
Also, using p values,
p = 0.015083038
As t > 1.943, and P < 0.05, WE REJECT THE NULL HYPOTHESIS.
Hence, at 0.05 level, there is significant evidence to support the claim that the posttest scores were the higher than the pretest scores. [CONCLUSION]
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.