Assignment 2: Significance t-Test for a Single Sample

Tests of Significance
Name of Student
Institution Affiliation
Tests of Significance
Mock Study 1: t-Test for a Single Sample
Research hypothesis
Alternative hypothesis
Null Hypothesis
H0: Average number of activities of daily living obtained after therapy is significantly different from a mean number of activities of 17 (typical for depressed people).
Alternative Hypothesis
H1: Average number of activities of daily living obtained after therapy is not significantly different from a mean number of activities of 17 (typical for depressed people).
This study mock uses both .05 and .01 significance levels to test the hypotheses
The following data is uploaded onto IBM SPSS 24 for analysis:
CLIENT

AFTER THERAPY

A

18

B

14

C

11

D

25

E

24

F

17

G

14

H

10

I

23

J

11

K

22

L

19

Significant Level- P=0.05
Activities on daily living is denoted by ADL in the analysis
One-Sample Statistics


N

Mean

Std. Deviation

Std. Error Mean

ADL

12

17.33

5.365

1.549

One-Sample Test


Test Value = 17


t

df

Sig. (2-tailed)

Mean Difference

95% Confidence Interval of the Difference






Lower

Upper

ADL

.215

11

.834

.333

-3.08

3.74

The average number of activities on daily living (ADL) is 17.33 at p= .834. We therefore fail to reject the null hypothesis since the significant value is greater 0.05 (p> .05).
Significant Level- P=0.01
One-Sample Statistics


N

Mean

Std. Deviation

Std. Error Mean

ADL

12

17.33

5.365

1.549

One-Sample Test


Test Value = 17


t

df

Sig. (2-tailed)

Mean Difference

99% Confidence Interval of the Difference






Lower

Upper

ADL

.215

11

.834

.333

-4.48

5.14

The average number of activities on daily living (ADL) is also 17.33 at p= .834. We therefore fail to reject the null hypothesis since the significant value is greater 0.05 (p> .05).
Therefore, the average number of activities of daily living obtained after therapy is significantly different from a mean number of activities of 17 (typical for depressed people) at both .05 and .01 significance levels.
Mock Study 2: t- Test for Dependent Means
Research hypothesis
Null hypothesis
H0: The observed differences in the numbers of activities of daily living obtained before and after therapy are statistically significant.
Alternative Hypothesis
H1: The observed differences in the numbers of activities of daily living obtained before and after therapy are not statistically significant.
This study mock uses .05 significance level to test the hypotheses
The following data is uploaded onto IBM SPSS 24 for analysis:
CLIENT

BEFORE THERAPY

AF...