what decision can you make and what does that mean? b. calculate and evaluate cohens d c. what type of error could you be making
a. what decision can you make and what does that mean?
b. calculate and evaluate cohens d
c. what type of error could you be making
a.
Let denotes the population mean. The claim of the test is that anxiety episodes in depressed patients decreased. The hypothesis is,
Null hypothesis:
Alternative hypothesis:
The test statistic is,
The test statistic is -2.7882.
The degrees of freedom is,
The degrees of freedom is 49.
The hypothesis is left tail. The probability of t less than –2.7882 with 49 degrees of freedom can be obtained using the excel formula “=T.DIST(–2.7882,49,TRUE)”.The p-value is 0.0038.
Decision rule:
If p-value≤α, then reject the null hypothesis. Otherwise, do not reject the null hypothesis.
Conclusion:
The p-value (0.0038) is less than the level of significance (0.01).
Based on decision rule, reject the null hypothesis.
Thus, there is no sufficient evidence that the mean anxiety episodes in depressed patients decreased.
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