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 p of all college students who own a car.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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
A) Read carefully the text and provide each of the following:
The
,
from the sample, the number of college students who own a car is x=
the confidence level is CL =
%.
B) Find the sample proportion P^=
and q^=1−p^=
(Round each of your answers to 3 decimal places)
C) Find the critical value za2 which is the zscore for which the right area is a2.
za2=
(Hint: keep in mind that a=1−the confidence level)
D)Find the margin of error for this 90 % confidence interval for p.
E=
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