Testing Hypotheses for Means

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Assignment 1: Testing Hypotheses for Means

This week you have explored three different approaches to t tests. By this point, you know that each test has assumptions about the data and type of research questions it can answer. For this Assignment, you will be provided with three scenarios. As you read the scenarios, be sure and think about aligning the appropriate t test with the question. Consider whether the data are independent samples and if two samples are being compared.

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
  • 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.

Week 6 Scenarios 1. 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. 2. As an international development researcher, you have already tested whether perceptions about the current levels of democracy differ from a value of 6. Given recent social change movements in North Africa, you now want to determine whether there is a statistical difference in these perceptions between North Africa and Southern Africa. Using the data from the 2015 Afrobarometer, 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. 3. As an educational researcher, would like to know whether high school student’s perceptions about mathematical utility changed between their freshman and senior year. Each respondent is asked the same series of questions about the utility of mathematics in their future during their freshman and senior year. These questions are combined to form one variable of mathematical utility; higher values indicate higher levels of mathematical utility. Using the High School Longitudinal Survey, 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. © 2016 Laureate Education, Inc. Page 1 of 1

Tutor Answer

Ryann N
School: Rice University

Attached.

Running head: TESTING HYPOTHESIS FOR MEANS

Testing Hypothesis for Means
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TESTING HYPOTHESIS FOR MEANS

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Scenario 1: one-sample t-test
The scenario seeks to provide a better understanding of the African citizen perception
about current levels of democracy. The underlying assumption, in this case, is that a series of
reforms that have been put in place across different countries has increased African views of the
levels of democracy today. The test value that has been considered in this case is 6. This means
that average of the current level of democracy today is being estimated as being 6.
The appropriate test
The appropriate statistical test that is preferred in this case is one sample t-test where the
test value is known. This test is used to determine whether the sample population has been
derived from a population with specific mean. The population means, in this case, has been
hypothesized as being 6. The assumptions that are considered in this case include the fact that the
dependent variable that is being investigated is measured on a ratio or interval level. In this case,
the scale that has been considered includes values from 0 to 10, and thus the level of perception
about the current democracy levels lies between 0 and 10. Another assumption that is considered
in this case is that that data must be obtained independently of each other. The dependent
variable should follow a normal distribution.
Hypothesis
Null hypothesis (Ho)
H0: μ = 6.
Alternative hypothesis (Ha)
H0: μ > 6
The confidence level considered in this case is 95%

TESTING HYPOTHESIS FOR MEANS

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Analysis
One-Sample ...

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