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SPH 535: Linear Regression - Null and Alternative Hypotheses - Statistics Assignment Help
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Conduct a statistical test to determine whether the numbers of prenatal care visits are different between the two groups. Report the null and alternative hypotheses in your own words (no symbols), show how you calculated the test-statistic, compute the p-value using the statistical tables provided in the class notes, and write a short paragraph summarizing your results and conclusion.
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Task: Using the Assignment #4 dataset, answer questions 1 to 6 below: (1) Give a point estimate and a 95% confidence interval (CI) for the prevalence of obesity among program participants who do not smoke cigarettes. State the assumption(s) needed for the 95% CI calculation to be valid. Briefly interpret the confidence interval. (2) Conduct a statistical test that the prevalence of obesity among program participants who do not smoke cigarettes is different from 15%. Report the null and alternative hypotheses in your own words (no symbols), show calculations of the test-statistic, compute the p-value using an Excel function, and write a brief paragraph summarizing the results and conclusion. (3) Conduct a statistical test, using Excel, to determine whether BMI is different between the smokers and non-smokers. Report the null and alternative hypotheses in your own word (no symbols), and the p-value from the test. Give a brief interpretation of the test results (i.e., provide the results and conclusion). (4) Using Excel output from (3) above, compute a 95% CI for the mean BMI difference between the smokers and non-smokers. Write a brief interpretation of the 95% CI. (5) Conduct a statistical test, using Excel, to determine whether the BMI is the same among the three types of immigration status participants. Report the null and alternative hypotheses in your own words (no symbols), and the p-value from the test. Write a brief paragraph summarizing the results and conclusion. (6) You have drawn a scatter plot between the weight and height variables in the Assignment 4 using Excel, and have drawn an estimated regression line on the scatter plot. a) Does a simple linear regression appear to be an appropriate model? Why or why not? b) Regardless of your answer in (6a) above, estimate the regression coefficients using Excel. Provide a regression line and interpret the slope in your own words. c) Using the Excel output of (6b) above: Test the hypothesis that there is a relationship between weight and height. Provide only the p-values and your conclusion in terms of the question. d) Using a 95% CI for the slope, test the same hypothesis as in (6c) above. Provide the 95% CI, p-value and your conclusion. e) Check the model assumptions of the linear relationship between the weight and height, and the homoscedasticity (i.e., equal variances) by drawing the residual plots using Excel, comment briefly on your findings. f) Check the normality assumption by creating a histogram of residuals using Excel, and comment briefly on your findings. Task: 2 (7) Numbers of prenatal care visits for mothers who have given birth to babies of low and of normal birth weights (BW) are as follows:
Conduct a statistical test to determine whether the numbers of prenatal care visits are different between the two groups. Report the null and alternative hypotheses in your own words (no symbols), show how you calculated the test-statistic, compute the p-value using the statistical tables provided in the class notes, and write a short paragraph summarizing your results and conclusion.
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