# Review the Learning Resources and the media programs related to t tests

*label*Mathematics

*timer*Asked: Dec 28th, 2017

*account_balance_wallet*$15

**Question description**

**To prepare for this Assignment:**

- Review the Learning Resources and the media programs related to
*t*tests. - For additional support, review the
**Skill Builder: Research Design and Statistical Design**and the**Skill Builder: Hypothesis Testing for Independent Samples t-test**, which you can find by navigating back to your Blackboard Course Home Page. From there, locate the Skill Builder link in the left navigation pane. - Also, review the
*t*test scenarios found in this week’s Learning Resources and consider the three different approaches of*t*tests:- Independent sample
*t*test - Paired sample
*t*test - One sample
*t*test

- Independent sample
- Based on each of the three research scenarios provided, open the High School Longitudinal Study dataset or the Afrobarometer dataset from this week’s Learning Resources using SPSS software, then choose and run the appropriate
*t*test. - Once you perform your
*t*test analyses, review Chapter 11 of the Wagner text to understand how to copy and paste your output into your Word document.

**For this Assignment:**

Write a 2- to 3-paragraph analysis of your *t* test results for each research scenario and include the SPSS syntax and output. Based on your results, provide an explanation of what the implications of social change might be.

Use proper APA format, citations, and referencing for your analysis, research questions, and output.

## Tutor Answer

See attached

Scenario 1

In this scenario, we were to determine whether perceptions about current levels of democracy

statistically differ from a value of 6.

Our null and alternate hypothesis for the test were thus:

Ho: levels of democracy = 6

Ha: levels of democracy ≠ 6

The test was carried out using SPSS. The following output was obtained:

One-Sample Statistics

N

Q46a. Level of democracy:

today

13611

Mean

Std. Deviation

5.61

Std. Error Mean

3.721

.032

One-Sample Test

Test Value = 6

95% Confidence Interval of the

Difference

t

Q46a. Level of democracy:

today

-12.135

df

13610

Sig. (2-tailed)

.000

Mean Difference

-.387

Lower

Upper

-.45

As seen above, a one sample t test was conducted to determine whether perceptions about

current levels of democracy statistically differ from a value of 6. The sample mean of 5.61 (SD=

3.721) was statistically different from 6, t (13610) = -12.135, p=0.000. The 95% interval for the

mean ranged from 5.55 to 5.68. Based on the results we can thus conclude that there is sufficient

evidence that perceptions about current levels of democracy is statistically different from a value

of 6.

The results indicate that the perception level of Africans on democracy is below the

international stan...

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