Q$2.$ According to a survey by the BMA $($British Medical Association$)$ in $2018$ hospital employment

in healthcare resources as a percent of total healthcare workers, has been decreased from $40\%$ to

$23\%$ since $1960$ to $2018$ for Netherlands. With reference to the information given,

a$.$ What proportion between $20\%$ and $26\%$ would be in hospital employment within

healthcare resources, if random samples of $200$ and $400$ people were taken from

Netherlands in $2018$ respectively?

b$.$ Explain how sample size matters in variability regarding outcomes for $200$ and $400$ size of

samples by drawing a graph to illustrate your reasoning. Compare variability and

dispersion of the curves for each sample size.

c$.$ What conclusions might you draw if a sample of $100$ people was taken in Netherlands in

$2018$ and the proportion of hospital employment in healthcare resources was $32\%?$

Compare this case with your findings in Part$-$a and Part$-$b by explaining how variability

changes?