Statistics II20775 marksNumerical: sample size for proportionDetermination of sample size
A study of 1000 computer engineers conducted by their professional organization reported that 300 stated that their firms’ greatest concern was to uplift the professional quality of work. In order to conduct a follow up study to estimate the population proportion of computer engineers to fulfill the
A study of 1000 computer engineers conducted by their professional organization reported that 300 stated that their firms’ greatest concern was to uplift the professional quality of work. In order to conduct a follow up study to estimate the population proportion of computer engineers to fulfill their greatest concern within ±0.01 with 99% confidence interval, how many computer engineers would be required to be surveyed? [5]
Parameter Value ------------------ Preliminary sample size $n0 = 1000$ Number with greatest concern $X = 300$ Sample proportion $\hat{p} = 300/1000 = 0.30$ Margin of error $E = 0.01$ Confidence level $99%$ --- Step 1: Determine p and q $$p = 0.30, \quad q = 1 - p = 0.70$$ Step 2: Z value for 99%...