A researcher wants to find a relationship between body mass index (BMI) and diabetes through blood glucose levels: Methodology Assignment, MUM, Malaysia

A researcher wants to find a relationship between body mass index (BMI) and diabetes through blood glucose levels. A previous study found a moderate correlation between BMI and diabetes with a 0.58 correlation coefficient. Calculate the sample size if the confidence level is set at 90% and 1% significance level.
A researcher wants to determine the associated risk factors of rosacea. Frequent makeup (more than 6 times a week) has been identified as one of the potential factors. According to a previous study, the proportion of rosacea for those who make up more than 6 times/week may be around 55% and those who do not apply makeup can be around 30%, hence sample size calculation for 1% significance level and 90% power with an equal number of intervention and control will be?
A study wants to compare lung function in coal miners exposed to carbon dust and with a family history of chronic obstructive pulmonary disease (COPD). Power is set at 80% and significance level at 1%. A difference of 1.5 standard deviations is considered to be clinically worthwhile with a medium effect size. An equal number is considered in each group. Calculate the sample size.
A researcher wants to estimate the proportion of children with autism in a state. Based on a previous study, the actual number of autism may not be more than 50%. Calculate the sample size with 14% precision and 95% confidence.
Suppose that the blood lead levels of children are normally distributed with a mean of 3 µg/dL and a standard deviation of 2.8 µg/dL. An investigator would like to examine whether the mean blood level of children living near industrial areas is higher than 3 µg/dL using a 1% significance level. Calculate the sample size if the power of the study is set at 90% when the true mean of the blood lead level is as large as 5 µg/dL.
A researcher wants to investigate the associated risk factors of pneumonia among male and female adults (>18 years). Smoking is identified as one of the potential risk factors for pneumonia among 45% of male and 25% of female adults in a previous study. While 15% of male and 10% of female adults did not have pneumonia. How many male and female adults should be recruited if the power of the study is set at 90% and the significance level is 5%?
A researcher is interested in knowing the average fasting cholesterol level of an entire community in Kelantan at a 99% confidence level and standard deviation of 35 mg/dL with a precision of 5 mg/dL based on a published study.

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