In a study of 443 nonprofits nationwide, 130 indicated that the greatest diversity staffing challenge they face is retaining younger staff (those under 30). a. Construct a 95 % confidence interval for the population proportion of nonprofits that indicate retaining younger staff is the greatest diversity staffing challenge for their organization. b. Interpret the interval constructed in (a). c. If you wanted to conduct a follow-up study to estimate the population proportion of nonprofits that indicate retaining youngers staff is greatest diversity staffing challenge for their organization to within ± 0.01 with 95 % confidence, how many nonpfrofits would you survey?
In a study of 443 nonprofits nationwide, 130 indicated that the greatest diversity staffing challenge they face is retaining younger staff (those under 30). a. Construct a 95 % confidence interval for the population proportion of nonprofits that indicate retaining younger staff is the greatest diversity staffing challenge for their organization. b. Interpret the interval constructed in (a). c. If you wanted to conduct a follow-up study to estimate the population proportion of nonprofits that indicate retaining youngers staff is greatest diversity staffing challenge for their organization to within ± 0.01 with 95 % confidence, how many nonpfrofits would you survey?
Solution Summary: The author calculates the confidence interval for non-profits who believe that retaining younger staff is challenging.
In a study of 443 nonprofits nationwide, 130 indicated that the greatest diversity staffing challenge they face is retaining younger staff (those under 30).
a. Construct a
95
%
confidence interval for the population proportion of nonprofits that indicate retaining younger staff is the greatest diversity staffing challenge for their organization.
b. Interpret the interval constructed in (a).
c. If you wanted to conduct a follow-up study to estimate the population proportion of nonprofits that indicate retaining youngers staff is greatest diversity staffing challenge for their organization to within
±
0.01
with
95
%
confidence, how many nonpfrofits would you survey?
During busy political seasons, many opinion polls are conducted. In apresidential race, how do you think the participants in polls are generally selected?Discuss any issues regarding simple random, stratified, systematic, cluster, andconvenience sampling in these polls. What about other types of polls, besides political?
Please could you explain why 0.5 was added to each upper limpit of the intervals.Thanks
28. (a) Under what conditions do we say that two random variables X and Y are
independent?
(b) Demonstrate that if X and Y are independent, then it follows that E(XY) =
E(X)E(Y);
(e) Show by a counter example that the converse of (ii) is not necessarily true.
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