Question

Please show me the R outputs with the work

1. (5 pts) In a study of human blood types in nonhuman primates, a sample of 71 orangutans were tested and 14 were found to be blood type B a) Use R to construct a 95% confidence interval for the proportion (probability) of blood type B in the orangutan population.

Answer 1

here estimated proportion phat =14/71=0.1972

std error       =Se

=√(p*(1-p)/n) =

0.0472

for 90 % CI value of z=				1.645
margin of error E=z*std error                            =				0.0777
lower confidence bound=sample proportion-margin of error				0.1195
Upper confidence bound=sample proportion+margin of error				0.2749

below is R code for same:

> x <- 14
> n <- 71
> ph <- x/n
> se <- sqrt(ph*(1-ph)/n)
> interval <- c(ph-qnorm(0.95)*se,ph+qnorm(0.95)*se)

Type Interval to get output:

> interval
[1] 0.1195153 0.2748509