Question

Load the dataset faithful from R. (a) Assign eruption durations to another variable. (b) Find the...

Load the dataset faithful from R.

(a) Assign eruption durations to another variable.

(b) Find the sample proportion of eruptions that last more than 4 min.

(c) Construct a 90% CI for the proportion (p) of eruptions that will last more than 4 min.

Homework Answers

Answer #1

R codes:

d=faithful
View(d)
e=d$eruptions
a=length(which(e>4)) # it gives number of eruptions >4
p=a/length(e)
p #it gives sample propotion
q=1-p
z=qnorm(0.95,0,1) # since we want two tailed confidence interval of 90%.
n=length(e)
CI_L=p-(z*sqrt(p*q/n)) # it gives lower limit of confidence interval
CI_U=p+(z*sqrt(p*q/n)) # it gives upper limit of confidence interval

Answers are as follows:

b. sample proportion of eruptions that last more than 4 min is p=  0.4852941

c. 90% CI for the proportion (p) of eruptions that will last more than 4 min is

(0.4354487 , 0.5351395 )

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