$1.$ Show how the sampling error calculations for the posttest measures were calculated.If the CEO wanted to be sure that the estimates of awareness and positive image are within $+2$ percent of the true value at $95$ percent confidence, what is the required sample size?Using all the same information used in question $2,$ what is the required sample size if the CEO wants to be $99\mathrm{.}5$ percent confident?If the current budget for conducting the telephone interviews is $$20,000$ and the cost per interview is $$19,$ can HealthLife reach the goal specified in question $3?$What error levels can it reach for both measures with the $$20,000$ budget? What is the required budget to reach the goal set in question $3?$