Describe sample summary statistics, provide a histogram and summary, check assumptions, and identify the test significance level.
Prompt Generate a sample of size 750 houses using data for the Pacific region. Then, design a hypothesis test and interpret the results using significance level α = .05. You will work with this sample in this assignment. Briefly describe how you generated your random sample. Use the House Listing Price by Region document to help support your work on this assignment. You may also use the Descriiptive Statistics in Excel PDF and Creating Histograms in Excel PDF tutorials for support. Specifically, you must address the following rubric criteria, using the Module Five Assignment Template Word Document Introduction: Describe the purpose of this analysis and how you generated your random sample size of 750 houses. Hypothesis Test Setup: Define your population parameter, including hypothesis statements, and specify the appropriate test. Define your population parameter. Write the null and alternative hypotheses. Specify the name of the test you will use. Identify whether it is a left-tailed, right-tailed, or two-tailed test. Data Analysis Preparations: Describe sample summary statistics, provide a histogram and summary, check assumptions, and identify the test significance level. Provide the descriiptive statistics (sample size, mean, median, and standard deviation). Provide a histogram of your sample. Summarize your sample by writing a sentence describing the shape, center, and spread of your sample. Check whether the assumptions to perform your identified test have been met. Identify the test significance level. For example, α = .05. Calculations: Calculate the p value, describe the p value and test statistic in regard to the normal curve graph, discuss how the p value relates to the significance level, and compare the p value to the significance level to reject or fail to reject the null hypothesis. Calculate the sample mean and standard error. Determine the appropriate test statistic, then calculate the test statistic. Note: This calculation is (mean — target)/standard error. In this case, the mean is your regional mean (Pacific), and the target is 280. Calculate the p value using one of the following tests. Choose your test from the following: =T.DIST.RT([test statistic], [degree of freedom]): right-tailed test =T.DIST([test statistic], [degree of freedom], 1): left-tailed test =T.DIST.2T([test statistic], [degree of freedom]): two-tailed test Note: The degree of freedom is calculated by subtracting 1 from your sample size. Using the normal curve graph as a reference, describe where the p value and test statistic would be placed. Test Decision: Compare the relationship between the p value and the significance level, and decide to reject or fail to reject the null hypothesis. Compare the relationship between the p value and significance level. Decide to reject or fail to reject the null hypothesis. Conclusion: Discuss how your test relates to the hypothesis and discuss the statistical significance. Explain in one paragraph how your test decision relates to your hypothesis and whether your conclusions are statistically significant. You can use the following tutorial that is specifically about this assignment: MAT-240 Module 5 Assignment Video What to Submit Submit the completed Module Five Assignment Template as a Word document that includes your response and supportive charts. Module Five Assignment Rubric Criteria Exemplary (100%) Proficient (85%) Needs Improvement (55%) Not Evident (0%) Value Introduction Exceeds proficiency in an exceptionally clear manner Describes the purpose of the analysis and how they generated their sample Shows progress toward proficiency, but with errors or omissions; areas for improvement may include cursory descriiption or missing elements Does not attempt criterion 5 Hypothesis Test Setup Exceeds proficiency in an exceptionally clear manner Defines the population parameter, including hypothesis statements, specifies the appropriate test Shows progress toward proficiency, but with errors or omissions; areas for improvement may include inaccurate or incomplete components Does not attempt criterion 20 Data Analysis Preparations Exceeds proficiency in an exceptionally clear manner Describes the sample summary statistics, provides a histogram and summary, checks assumptions, and identifies the test significance level Shows progress toward proficiency, but with errors or omissions; areas for improvement may include inaccurate or missing elements Does not attempt criterion 15 Calculations Exceeds proficiency in an exceptionally clear manner Calculates the sample mean, standard error, and the p value. Describes the p value and test statistic in regard to the normal curve graph Shows progress toward proficiency, but with errors or omissions; areas for improvement may include inaccurate calculations or missing elements Does not attempt criterion 20 Test Decision Exceeds proficiency in an exceptionally clear manner Compares the p value to the significance level to reject or fail to reject the null hypothesis Shows progress toward proficiency, but with errors or omissions; areas for improvement may include inaccurate or cursory discussion Does not attempt criterion 15 Conclusion Exceeds proficiency in an exceptionally clear manner Explains how the test relates to the hypothesis and the statistical significance Shows progress toward proficiency, but with errors or omissions; areas for improvement may include conclusions that are cursory or missing critical elements Does not attempt criterion 20 Articulation of Response Exceeds proficiency in an exceptionally clear manner Clearly conveys meaning with correct grammar, sentence structure, and spelling, demonstrating an understanding of audience and purpose Shows progress toward proficiency, but with errors in grammar, sentence structure, and spelling, negatively impacting readability Submission has critical errors in grammar, sentence structure, and spelling, preventing understanding of ideas 5 Total:
