Question

Question 1:

** Please Work on R studios**

Data set:

Firm A, 27 employees out of 92 work in sales

In Firm B, 82 out of 273 employees work in sales.

95% level confidence

Suppose Firm B above plans to hire 10 more employees across the entire business. The firm tends to hire in proportion to current staffing levels, but there is variability depending on the quality and fit of the applicants. Simulate from the posterior predictive distribution for the number of new sales employees out of the 10 total hires, assuming that the proportion of sales hires to total hires is 82/273. What is the 95% credible interval for the number of new sales hires?

Answer 1

R-code:

consore Tema F:/Stat Full/Language Files/R Files/ > n=10 > p=82/273 > cat("Sample Proportion",p, "\n") Sample Proportion 0.3003663 > SE = sqrt((p* (1-p>)/n) # standard error > ME = qnorm(0.975) * SE # margin of error > cat("The 95% confidence interval of populatin propotion is ", p-ME, p + ME) The 95% confidence interval of populatin propotion is 0.01624156 0.584491

The 95% credible interval for the number of new sales hires is (0.01624156, 0.584491)