Based on a simple random sample of 1300 college students, it is found that 299 students own a car. We wish to construct a 90\% confidence interval to estimate the proportions of all college students who own a car.

UkusakazaL

UkusakazaL

Answered question

2021-08-08

Based on a simple random sample of 1300 college students, it is found that 299 students own a car. We wish to construct a 90% confidence interval to estimate the proportions ? of all college students who own a car.
A) Read carefully the text and provide each of the following:
The sample size ?=
from the sample, the number of college students who own a car is ?=
the confidence level is CL= %.
B) Find the sample proportion ?^=
and ?^=1?^=

Answer & Explanation

Ian Adams

Ian Adams

Skilled2021-08-16Added 163 answers

Step 1
(A)
The sample size is, n=1300
The number of college students who own a car is,
x=299
The confidence level is, CL=90%
Step 2
(B)
The value of sample proportion is,
p^=xn
=2991300
=0.23
The value of 1^ is,
q^=1p^
=10.23
=0.77

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