Question

QUESTION 3 QUESTION 3

An analysis of the Business School graduates found that 210 out of 318 randomly selected graduates used An analysis of the Business School graduates found that 210 out of 318 randomly selected graduates used  a statistical inference technique during their first year of employment.a statistical inference technique during their first year of employment.

(a) Calculate a 90% confidence interval for the proportion of graduates who used a statistical inference (a) Calculate a 90% confidence interval for the proportion of graduates who used a statistical inference  technique within the first year of their employment. Present your work.technique within the first year of their employment. Present your work.

(b) Interpret the confidence interval.(b) Interpret the confidence interval.

(c) If a new follow-up study is to be undertaken, what sample size should be taken in order to estimate (c) If a new follow-up study is to be undertaken, what sample size should be taken in order to estimate  the true proportion of graduates who used a statistical inference technique in the first year of the true proportion of graduates who used a statistical inference technique in the first year of  employment within 4% with a confidence interval of 95%? employment within 4% with a confidence interval of 95%?

(d) If a new follow-up study is to be undertaken, what sample size should be taken in order to estimate (d) If a new follow-up study is to be undertaken, what sample size should be taken in order to estimate  the true proportion of graduates who used a statistical inference technique in the first year of the true proportion of graduates who used a statistical inference technique in the first year of  employment within 4% with a confidence interval of 99%?

Answer 1