401077 Introduction To Biostatistics

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Questions:

Question 1

Research question: Does the average minutes of moderate to vigorous physical activity (MVPA) differ between overweight and non-overweight University students?

Use the assignment data set assigned to you: Variables to analyse: ‘MVPA’ and ‘overweight’

Note: Each student will get different answers as the data sets differ.

1. Draw histograms of MVPA by overweight status. Add reasonable axis labels.
2. Name the statistical test you would you use to address the above research question using the data set provided. Explain why this test is appropriate.
3. Answer the research question by conducting your chosen statistical test on the data set provided. Please use R Commander but format your answer following the 5 step method.

Question 2

Consider the research question “Is the mean weight of Australian university students heavier at graduation than at enrolment?” Suppose the following data was collected to address this hypothesis.

 student ID weight at enrolment (kgs) weight at graduation (kgs) 1 86 89 2 64 73 3 51 55 4 73 72 5 63 80 6 69 70

Identify the most appropriate statistical test for addressing the research question using the given data. Explain why this test is appropriate. (Note: Please do not run any analyses or conduct the statistical test.)

Question 3

Research question: How different are the average GPAs of overweight and non-overweight Australian University students?

Use the assignment data set assigned to you: Variables to analyse: ‘GPA’ and ‘overweight’

Note: Each student will get different answers as the data sets differ.

1. Using R Commander, calculate the 95% confidence interval for the difference in mean GPA between the overweight and non-overweight groups.
2. Carefully write in words, what this confidence interval is telling us.
3. From the results in a) can we conclude that there a statistically significant difference in mean GPA between overweight and non-overweight Australian university students? Explain why or why not.

Question 4

Estimate the minimum sample size required to detect a difference of 0.5 in mean GPA between the overweight and non-overweight retirees with and power=0.80 . (That is, this difference could be between 4 and 4.5 or between 4.5 and 5.0. You can choose any means as long as they are 0.5 apart.) Assume the population standard deviation is  and equal group sizes. Present your answer as a sentence which summarises the required sample size to achieve what power subject to what conditions.

Question 5

Research question: Does the proportion of overweight students differ by sex in the population of Australian university students?

Use the assignment data set assigned to you: Variables to analyse: ‘overweight’ and ‘sex’

Note: Each student will get different answers as the data sets differ.

1. Show the relationship between overweight and sex using a two way contingency table. Include either row or column percentages. Type and label the table yourself: an R Commander screenshot will not be accepted.
2. Looking at the results in part a) only, is there any evidence of association between sex and overweight status in this sampleof Australian university students? Explain why or why not.
3. Are the requirements for a Chi-square test met? Explain why.
Irrespective of your answer in part c) address the research question using a Chi-square test on the provided data. Please use R Commander but format your answer following the 5 step method.

Question 6

Estimate the minimum sample size required to produce a 95% confidence interval with a margin of error of  for the proportion of Australia university students. Assume that 40% of this population will be overweight. Present your answer as a sentence which summarises the required sample size to achieve what confidence level subject to what conditions.

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My Assignment Help (2021) 401077 Introduction To Biostatistics [Online]. Available from: https://myassignmenthelp.com/free-samples/401077-introduction-to-biostatistics/evidence-of-association-between-sex-biostatistics.html
[Accessed 03 February 2023].

My Assignment Help. '401077 Introduction To Biostatistics' (My Assignment Help, 2021) <https://myassignmenthelp.com/free-samples/401077-introduction-to-biostatistics/evidence-of-association-between-sex-biostatistics.html> accessed 03 February 2023.

My Assignment Help. 401077 Introduction To Biostatistics [Internet]. My Assignment Help. 2021 [cited 03 February 2023]. Available from: https://myassignmenthelp.com/free-samples/401077-introduction-to-biostatistics/evidence-of-association-between-sex-biostatistics.html.

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