Question

# What makes a person a “leader”? A social psychologist hypothesizes that the extent to which people...

What makes a person a “leader”? A social psychologist hypothesizes that the extent to which people are perceived to be leaders is positively related to the amount of talking they do, regardless of what they are actually saying. She conducts an experiment in which groups of participants solve a problem together. One of the participants in each group is a confederate who speaks a different number of sentences for different groups, half of which are designed to help the group solve the problem and half are not helpful. Following the group work, the confederate is rated by the other participants on his or her leadership ability (1=low, 10=high). The following data represents the findings of this fictional researcher.

Group

Number of Sentences Spoken

1

4

5

2

10

6

3

27

7

4

22

9

5

5

2

6

6

3

7

18

8

8

15

4

Part 2:

Using MS Word create a document in APA format that includes the following:

• Cover Page
• Introduction (summary of the paper's contents)
• Body paragraphs that address the following:

• State the null and alternative hypotheses
• Make a decision about the null hypothesis
• Draw a conclusion from the analysis
• Relate the result of the analysis to the research hypothesis

We use Minitab 17 to do the given problem

we first write down the given data in the spreadsheet then we follow the steps

StatBasic StatisticsPaired t select "each sample is in a column" select "number of sentences spoken" as sample 1 and "rating of leadership" as sample 2go to options and select confidence level as 95.0, hypothesized difference as 0.0 and alternative hypothesis as difference hypothesized differenceokok

Hence we get the folowing results

Paired T for number of sentences spoken - rating of leadership

N   Mean StDev SE Mean
number of sentences spok 8 13.38 8.52     3.01
rating of leadership      8   5.50   2.45       0.87
Difference                  8   7.88   6.85       2.42

95% CI for mean difference: (2.14, 13.61)
T-Test of mean difference = 0 (vs ≠ 0): T-Value = 3.25 P-Value = 0.014

Now from the above results we get

• The null hypothesis is the that the mean difference among two is zero( they have positive relation) and the alternative is that the mean difference is not zero( they do not have positive relation)
• we get the p value as 0.014 which is less than 0.05 hence we reject the null hypothesis at 5% level of significance on the basis of the given data
• As we reject the null hypothesis and accept the alternative we can conclude that there exists significant difference between the number of sentences spoken and rating of leadership
• The researcher surveyed that sentences spoken and rating of leadership has a positive relation but as per the analysis result we see they do not have a positive relationship infact they differ.

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