Statistics Questionnaire

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Mathematics

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FMPH 102 Fall 2021 Problem Set Six (45 pts) DUE: Sunday, 10/21/2021 before 11:00pm Question 1. (30 pts) The Centers for Disease Control and Prevention (CDC) published on 2/19/2016 the results of an analysis of the 2014 Behavioral Risk Factor Surveillance System (BRFSS) concerning healthy sleep among American adults. (Healthy sleep is defined as ≥7 hours of sleep on a typical 24-hour period). For more details, see http://www.cdc.gov/mmwr/volumes/65/wr/mm6506a1.htm . Table 1 reports the proportion of adults getting healthy sleep by race/ethnicity. The slightly simplified (rounded off sample sizes to nearest thousandth) set of results are summarized in the below. In this analysis, we will focus on differences among the three ethnicity groups and ignore issues of age-correction. Number of subjects ≥7h sleep Select Cases > If condition is satisfied > Race ~= 3. To receive full credit for parts b. and c., state (i) clearly the null hypothesis, (ii) the conclusion of your analysis, and (iii) the interpretation of your findings. SEE NEXT PAGE FOR PROBLEM 2 Question 2 (15 pts) A Swedish study examined gingival bleeding in 164 pairs of same-sex twins of which one twin had low exposure to smoking, while the other had high exposure to smoking. The reasons for using this co-twin control design include pair matching for sex, age, and genetic factors, and that confounding factors such as oral hygiene and food habits are also likely to be matched within a pair. The aim of the study is to test whether smoking is associated with higher risk of gingivitis. The study found that in 40 pairs the low-exposed twin had gingivitis while the high-exposed twin did not, in 23 pairs the high-exposed twin had gingivitis while the low-exposed twin did not, while in the remaining 101 pairs the twins had same status: in 15 pairs both had gingivitis and in 86 pairs both did not have gingivitis. a. Which type of study design applies to this study: paired or independent samples? b. Write the 2x2 table cross-tabulating the pairs of exposed and unexposed twins in terms of their gingivitis status (yes/no). c. The research hypothesis is that smoking is associated with gingivitis. For the statistical analysis, what are the null and alternative hypotheses? d. Perform a statistical test for the null hypothesis, using hand calculations. Interpret your results. e. Perform a statistical test for the null hypothesis, using SPSS. Interpret your results.
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FMPH 102 Fall 2021
Problem Set Six (45 pts)
DUE: Sunday, 10/21/2021 before 11:00pm
Question 1. (30 pts) The Centers for Disease Control and Prevention (CDC) published on
2/19/2016 the results of an analysis of the 2014 Behavioral Risk Factor Surveillance System
(BRFSS) concerning healthy sleep among American adults. (Healthy sleep is defined as ≥7 hours of
sleep on a typical 24-hour period). For more details, see
http://www.cdc.gov/mmwr/volumes/65/wr/mm6506a1.htm . Table ...


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