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Testing Hypothesis and Means
Walden University
RSCH 8210: Quantitative Reasoning and Analysis
14:08:59 GMT -05:00
, Testing Hypothesis and Means
Scenario One
The Afrobarometer data set with a mean age of 37.23 was used for this scenario. A one-
sample t-test is used to test a one-tailed research hypothesis that the level of democracy is below
six. A one-sample t-test provides statistical analysis on how much variation the sample mean is
from the null hypothesis (Frankfort-Nachmias et al., 2021). The null hypothesis is that the level
of democracy is greater than or equal to 6. It is assumed that a random sample was used to
collect the data, and the scale associated with the level of democracy will be considered an
interval-ratio level of measurement. Finally, the sample size allows for the application of the
central limit theorem (Frankfort-Nachmias et al., 2021). An alpha value is set to .05 before
examining the data indicating that a calculated p-value below .05 will reject the null hypothesis
that the level of democracy is greater than or equal to 6.
The one-sample t-test indicates that t(11761)=-18.953 and that p<.001. Since the obtained
p-value is below .05, the null hypothesis can be rejected –allowing for the conclusion that the
population's mean level of democracy statistically differs from 6.
Scenario Two
An independent sample t-test provides statistical analysis on the same variable for two
different groups (Frankfort-Nachmias et al., 2021). The independent variable is country by
region, and the dependent variable is the level of democracy. Since an independent t-test can
14:08:59 GMT -05:00
Testing Hypothesis and Means
Walden University
RSCH 8210: Quantitative Reasoning and Analysis
14:08:59 GMT -05:00
, Testing Hypothesis and Means
Scenario One
The Afrobarometer data set with a mean age of 37.23 was used for this scenario. A one-
sample t-test is used to test a one-tailed research hypothesis that the level of democracy is below
six. A one-sample t-test provides statistical analysis on how much variation the sample mean is
from the null hypothesis (Frankfort-Nachmias et al., 2021). The null hypothesis is that the level
of democracy is greater than or equal to 6. It is assumed that a random sample was used to
collect the data, and the scale associated with the level of democracy will be considered an
interval-ratio level of measurement. Finally, the sample size allows for the application of the
central limit theorem (Frankfort-Nachmias et al., 2021). An alpha value is set to .05 before
examining the data indicating that a calculated p-value below .05 will reject the null hypothesis
that the level of democracy is greater than or equal to 6.
The one-sample t-test indicates that t(11761)=-18.953 and that p<.001. Since the obtained
p-value is below .05, the null hypothesis can be rejected –allowing for the conclusion that the
population's mean level of democracy statistically differs from 6.
Scenario Two
An independent sample t-test provides statistical analysis on the same variable for two
different groups (Frankfort-Nachmias et al., 2021). The independent variable is country by
region, and the dependent variable is the level of democracy. Since an independent t-test can
14:08:59 GMT -05:00
