A traffic consultant wants to estimate the proportion of cars on a certain street that have more than two occupants. She stands at the side of the road for two hourson a weekday afternoon and flips a coin each time a car approaches. If the coin comes up heads, she counts the number of occupants in the car. After two hours, shehas counted 103 cars, 15 of which has more than two occupants. Which condition for constructing a confidence interval for a proportion has she failed to satisfy?O The sample is less than 10% of the population.O The data is an SRS from the population of interest.O np 2 10On> 30O n(1 – p) 2 10NextNot savedSubmit QuizPRTSCNM3

The conditions we need for inference on one proportion are: Random: The data needs to come from a…

Answered: Atraffic consultant wants to estimate…

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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A traffic consultant wants to estimate the proportion of cars on a certain street that have more than two occupants. She stands at the side of the road for two hours
on a weekday afternoon and flips a coin each time a car approaches. If the coin comes up heads, she counts the number of occupants in the car. After two hours, she
has counted 103 cars, 15 of which has more than two occupants. Which condition for constructing a confidence interval for a proportion has she failed to satisfy?
O The sample is less than 10% of the population.
O The data is an SRS from the population of interest.
O np 2 10
On> 30
O n(1 – p) 2 10
Next
Not saved
Submit Quiz
PRT
SCN
M3

Expert Solution

Step 1

The conditions we need for inference on one proportion are:

Random: The data needs to come from a random sample or randomized experiment.
Normal: The sampling distribution of , needs to be approximately normal — needs at least expected successes and expected failures.
Independent: Individual observations need to be independent. If sampling without replacement, our sample size shouldn't be more than of the population.

Explanation:

The condition that the traffic consultant failed satisfied was, the data should be a simple random sample.

Here, the data is collected according to the convenience of the traffic consultant and it is not a SRS data.

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