Question

One Sample ttest:

The population average length of friendships with their closest female friend is known (µ= 69.61) but the population variance is unknown. As we learned from the text and the PPTs, we know these research situations require the use of the One Sample tTests. Here are the researchers’ hypotheses:

1. The researchers think that our group of 100 females will score differently than the population on the length of the friendship with their closest female friend.

Use the SPSS data to make conclusions.

Part 1—The Analyses

1. For this test you would run a One Sample tTests: one for “Length of the friendship with their closest female friend.” To do that, follow the instruction in Chapter 7. Here is an example and the output:

T-Test

One-Sample Statistics
	N	Mean	Std. Deviation		Std. Error Mean
Length of Closest Female Friendship	100	82.16	53.183		5.318
One-Sample Test
	Test Value = 69.61
	T	df	Sig. (2-tailed)	Mean Difference		95% Confidence Interval of the Difference
						Lower		Upper
Length of Closest Female Friendship	2.360	99	.020	12.550		2.00		23.10

Dependent (Paired) Sample ttest:

The researchers know that the rating of intimacy and emotional support will be similar. Because these ratings are made by the same people on the same friend, the scores are linked. As we learned from the text and the PPTs, we know these research situations require the use of the Paired Sample tTests.  Here are the researchers’ hypotheses:

1. The researchers think that our group of 100 females will rate intimacy and emotional support the same.  

Use the SPSS data to make conclusions.

Part 1—The Analyses

1. For this assignment, I ran a Paired Sample tTests for Intimacy and Emotional Support. Here is an example and the output:

T-Test

Paired Samples Statistics
		Mean	N	Std. Deviation	Std. Error Mean
	EmoSupport	56.44	100	8.272	.827
	Intimacy	58.36	100	6.887	.851

Paired Samples Test
		Paired Differences					t	df	Sig. (2-tailed)
		Mean	Std. Deviation	Std. Error Mean	95% Confidence Interval of the Difference
					Lower	Upper
Pair 1	Intimacy - EmoSupport	1.920	5.382	.538	.852	2.988	3.568	99	.001

Part 2—The APA Write-Up Instructions

                  The American Psychological Association (APA) has standards for how statistical results should be presented.  While the actual word choice varies, there are several essential components that are common among all presentations of statistical results and interpretations.  Use the following instructions for ALL APA write-ups required for this course:

For each analysis, use the following steps to write a complete description of results in proper APA format.

1. State what hypothesis was tested.
2. State what test was used.
3. What decision did you make? Reject the null or retain (fail to reject) the null.
4. Were the groups significantly different from each other?
5. Report the means and standard deviations for each group.
6. Put numbers in APA format:
   1. General Format: symbol for the test (df)= obtained value, p> or < significance level
   2. Specific for tTests: t(99)=1.98, p<.05
7. Report Effect Size (if known)

Example:

         Adolescent males were expected to score significantly higher on a measure of aggression than were adolescent females. An independent ttest was used to test the hypothesis leading to the rejection of the null hypothesis. Adolescent males (M=14.67, SD=2.35) were significantly more aggressive than were adolescent females (M=9.65, SD=1.59), t(78)=3.93, p<.05.

Since we ran 2 analyses, you will need to do 2 write-ups for this assignment.

Analysis for One Sample ttest:

1. Answer the following questions
   1. What is the null hypothesis tested?
   2. Why is the One Sample tTest the correct test to use?
   3. Write up the results for the One Sample tTest you ran for Length of the friendship with their closest female friend below:  

Analysis for Dependent (Paired) ttest:

1. Answer the following questions
   1. What is the null hypothesis tested?
   2. Thinking about the original research hypothesis, does the researcher want to retain or reject the null in this case? Why?
   3. Write up the results for the Paired Sample tTest you ran Intimacy and Emotional Support below:  

Answer 1