In: Statistics and Probability
Using the American Medical Association's list of 1989 graduates of American medical schools, separate random samples of 1250 female residents and 750 male residents were taken. Those selected into the sample received mail questionnaires regarding their residency program, home life and, in particular, parenting during residency. What type of sampling design was used ( I said stratified sampling)
One of the main goals of the survey was to estimate the proportion of all 3rd year residents parenting children during residency. Among the female respondents, 12% had children, and among the male respondents 22% had children. Estimate the overall proportion of 3rd year residents parenting children during residency.
Using the American Medical Association's list of 1989 graduates of American medical schools, separate random samples of 1250 female residents and 750 male residents were taken. Those selected into the sample received mail questionnaires regarding their residency program, home life and, in particular, parenting during residency. What type of sampling design was used ( I said stratified sampling)
sampling design : stratified sampling (The population is divided into stratas as male and female and sample are selected in each strata)
One of the main goals of the survey was to estimate the proportion of all 3rd year residents parenting children during residency. Among the female respondents, 12% had children, and among the male respondents 22% had children. Estimate the overall proportion of 3rd year residents parenting children during residency.
n1=1250 and p1=0.12
n2=750 and p2=0.22
overall proportion = (n1p1+n2p2)/(n1+n2)
=(1250*0.12+750*0.22)/(1250+750)
=0.1575