This assignment solution presents a comprehensive analysis of a biostatistics problem set, focusing on the statistical analysis of grip strength and hypertension data from a sample of grandparent carers. The solution includes the calculation and interpretation of a 95% confidence interval for mean grip strength, followed by a hypothesis test to determine if the mean grip strength of grandparent carers is statistically different from 33 kg. The analysis further investigates the difference in grip strength between male and female grandparents using both t-tests and Mann-Whitney U tests. Additionally, the solution employs a chi-square test to assess the proportion of grandparents with hypertension and performs a hypothesis test to compare grip strength between dominant and non-dominant hands using the Wilcoxon test. The assignment also includes calculations for sample size determination, addressing the required sample size for specific margins of error and power levels. Finally, it discusses the implications of using a 50% confidence interval in contrast to a 95% confidence interval.
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