According to a survey in a country, 33% of adults do not own a credit card. Suppose a simple random sample of 200 adults is obtained. Complete parts (a) through (d) below. (a) Describe the sampling distribution of p, the sample proportion of adults who do not own a credit card. Choose the phrase that best describes the shape of the sampling distribution of p
According to a survey in a country, 33% of adults do not own a credit card. Suppose a simple random sample of 200 adults is obtained. Complete parts (a) through (d) below. (a) Describe the sampling distribution of p, the sample proportion of adults who do not own a credit card. Choose the phrase that best describes the shape of the sampling distribution of p
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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According to a survey in a country,
33%
of adults do not own a credit card. Suppose a simple random sample of
200
adults is obtained. Complete parts (a) through (d) below.(a) Describe the sampling distribution of
p,
the sample proportion of adults who do not own a credit card. Choose the phrase that best describes the shape of the sampling distribution of
p
below.Approximately normal because
n≤0.05N
and np(1−p)≥10Not normal because
n≤0.05N
and np(1−p)<10Not normal because
n≤0.05N
and np(1−p)≥10Approximately normal because
n≤0.05N
and np(1−p)<10Determine the mean of the sampling distribution of
p.
μp=nothing
(Round to two decimal places as needed.)Determine the standard deviation of the sampling distribution of
p.
σp=nothing
(Round to three decimal places as needed.)(b) What is the probability that in a random sample of
200
adults, more than
35%
do not own a credit card?The probability is
nothing.
(Round to four decimal places as needed.)
Interpret this probability.
If 100 different random samples of
200
adults were obtained, one would expect
nothing
to result in more than
35%
not owning a credit card.(Round to the nearest integer as needed.)
(c) What is the probability that in a random sample of
200
adults, between
30%
and
35%
do not own a credit card?The probability is
nothing.
(Round to four decimal places as needed.)
Interpret this probability.
If 100 different random samples of
200
adults were obtained, one would expect
nothing
to result in between
30%
and
35%
not owning a credit card.(Round to the nearest integer as needed.)
(d) Would it be unusual for a random sample of
200
adults to result in
60
or fewer who do not own a credit card? Why? Select the correct choice below and fill in the answer box to complete your choice.(Round to four decimal places as needed.)
The result
is not
unusual because the probability that
p
is less than or equal to the sample proportion is
nothing,
which is
less
than 5%.Expert Solution
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