As an international development researcher, you would like to know African Citiz
ID: 3359695 • Letter: A
Question
As an international development researcher, you would like to know African Citizen’s perceptions about current levels of democracy. Your working hypothesis is that a series of reforms have increased African views of the level of democracy today. You do not have a good research design to compare attitudes before and after the reforms, but know that leaders and development experts would like to see a value of 6, on the scale of 1–10. Using the data from the 2015 Afrobarometer, determine whether perceptions about current levels of democracy statistically differ from a value of 6. Please provide: a 1–2 APA style paragraph statement that furnishes an answer to this question, note the relevant statistics, comment on meaningfulness and include your relevant SPSS output.
My data
One-Sample Statistics
N
Mean
Std. Deviation
Std. Error Mean
Q46a. Level of democracy: today
46940
5.52
2.883
.013
One-Sample Test
Test Value = 6
t
df
Sig. (2-tailed)
Mean Difference
95% Confidence Interval of the Difference
Lower
Upper
Q46a. Level of democracy: today
-35.924
46939
.000
-.478
-.50
-.45
One-Sample Statistics
N
Mean
Std. Deviation
Std. Error Mean
Q46a. Level of democracy: today
46940
5.52
2.883
.013
Explanation / Answer
Solution:
For the given scenario, one sample t test for the population mean is used for checking the researchers claim. The null and alternative hypothesis for this test is given as below:
Null hypothesis: H0: Perceptions about current levels of democracy is 6.
Alternative hypothesis: Ha: Perceptions about current levels of democracy statistically differ from a value of 6.
H0: µ = 6 versus Ha: µ 6
This is a two tailed test. The level of significance is given as 5% or = 0.05.
Test statistic is given as below:
t = (Xbar – mean) / [S/sqrt(n)]
From the given SPSS output, we have
Xbar = 5.52, S = 2.883, n = 46940, SE = [S/sqrt(n)] = 0.013
Test statistic = (5.52 – 6) / [2.883/sqrt(46940)]
Test statistic = t = -35.924
P-value = 0.000
P-value < = 0.05.
So, we reject the null hypothesis that Perceptions about current levels of democracy is 6.
There is sufficient evidence to conclude that Perceptions about current levels of democracy statistically differ from a value of 6.
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