In: Statistics and Probability
1. A neuropsychologist believed that right-handed people would recognize objects placed in their right hands more quickly than objects placed in their left hands, when they were blindfolded. Two scores were measured. Condition 1: the number of objects the right-handed participant could recognize in two minutes using the right hand (RightRec) and Condition 2: the number of objects the right-handed participant could recognize in two minutes using the left hand (LeftRec).
a. The Null and Alternative Hypotheses (using full sentences)
b. Using sentences, present the descriptive statistics for groups in the study: for example: mean(s), Std. Deviation, Std. Error Mean, etc.
c, (APA-style) sentences. With alpha at 0.05 level, present your conclusion about the Null Hypothesis in terms of the size of the t-statistic, statistical significance, and whether it was a one-tailed or two-tailed test.
d. Conclusions. From the point of view of the researcher, do the conclusions support the research hypothesis (the Alternative)? Are you confident about the conclusions based on the data you examined?
please help, thanks.. SPSS data below for the study.
Right rec | Left Rec | |
1 | 10 | 8 |
2 | 11 | 5 |
3 | 9 | 9 |
4 | 14 | 9 |
5 | 5 | 11 |
6 | 7 | 7 |
7 | 9 | 8 |
8 | 8 | 10 |
9 | 15 | 7 |
10 | 7 | 12 |
11 | 11 | 6 |
12 | 13 | 8 |
13 | 10 | 8 |
14 | 11 | 6 |
15 | 10 | 11 |
16 | 8 | 9 |
17 | 9 | 10 |
18 | 12 | 13 |
19 | 13 | 10 |
20 | 7 | 6 |
Assuming that the number of objects the right-handed participant could recognize in two minutes using the right hand (RightRec) and the number of objects the right-handed participant could recognize in two minutes using the left hand (LeftRec) is done by the same person. So, the appropriate test statistic is paired t-test.
Let, d=RightRec-LeftRec
a. The Null Hypothesis, Ho: The population mean of the difference is equal to zero.
Alternative Hypotheses, H1: The population mean of the difference is greater than zero.
b. Using sentences, present the descriptive statistics for groups in the study: for example: mean(s), Std. Deviation, Std. Error Mean, etc.
Ans:
c, (APA-style) sentences. With alpha at 0.05 level, present your conclusion about the Null Hypothesis in terms of the size of the t-statistic, statistical significance, and whether it was a one-tailed or two-tailed test.
The test is a one-tail test and the corresponding test statistic is 1.589 and corresponding p-value=0.128=0.064.
d. Conclusions. From the point of view of the researcher, do the conclusions support the research hypothesis (the Alternative)? Are you confident about the conclusions based on the data you examined?
Ans: The P-value is 0.064 and greater than the 0.05 level of significance. Hence, fail to reject the null hypothesis and does not accept the belief of a neuropsychologist that right-handed people would recognize objects placed in their right hands more quickly than objects placed in their left hands, when they were blindfolded.