8. A report on your local TV news station claims that 60% of the city's residents support using limited city funds to hire and train more police officers. A second local news station has picked up this story, and they claim that certainly less than 60% of residents support the additional hiring. In order to test this claim the second news station takes a random sample of 100 residents and finds that 56 of them (56%) support the use of limited funds to hire additional police officers. Which of the following is the correct set-up for calculating the p-value for this test? Randomly sample 100 residents of a nearby city, and record the number of residents in the sample who support the hiring of additional police officers. Repeat this many times and calculate the proportion of samples where at least 56% of the residents support the hiring. Roll a 10-sided die 100 times and record the proportion of times you get a 6 or lower. Repeat this many times, and calculate the number of simulations where the sample proportion is 60% or less. In a bag place 100 chips, 56 red and 44 blue. Randomly sample 100 chips, with replacement, and record the proportion of red chips in the sample. Repeat this many times, and calculate the proportion of samples where at least 60% of the chips are red. Roll a 10-sided die 100 times and record the proportion of times you get a 6 or lower. Repeat this many times, and calculate the number of simulations where the sample proportion is 56% or less.
8. A report on your local TV news station claims that 60% of the city's residents support using limited city funds to hire and train more police officers. A second local news station has picked up this story, and they claim that certainly less than 60% of residents support the additional hiring. In order to test this claim the second news station takes a random sample of 100 residents and finds that 56 of them (56%) support the use of limited funds to hire additional police officers. Which of the following is the correct set-up for calculating the p-value for this test? Randomly sample 100 residents of a nearby city, and record the number of residents in the sample who support the hiring of additional police officers. Repeat this many times and calculate the proportion of samples where at least 56% of the residents support the hiring. Roll a 10-sided die 100 times and record the proportion of times you get a 6 or lower. Repeat this many times, and calculate the number of simulations where the sample proportion is 60% or less. In a bag place 100 chips, 56 red and 44 blue. Randomly sample 100 chips, with replacement, and record the proportion of red chips in the sample. Repeat this many times, and calculate the proportion of samples where at least 60% of the chips are red. Roll a 10-sided die 100 times and record the proportion of times you get a 6 or lower. Repeat this many times, and calculate the number of simulations where the sample proportion is 56% or less.
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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Transcribed Image Text:8. A report on your local TV news station claims that 60% of the city's residents support using limited city funds to hire
and train more police officers. A second local news station has picked up this story, and they claim that certainly
less than 60% of residents support the additional hiring. In order to test this claim the second news station takes a
random sample of 100 residents and finds that 56 of them (56%) support the use of limited funds to hire additional
police officers. Which of the following is the correct set-up for calculating the p-value for this test?
Randomly sample 100 residents of a nearby city, and record the number of residents in the sample who
support the hiring of additional police officers. Repeat this many times and calculate the proportion of
samples where at least 56% of the residents support the hiring.
Roll a 10-sided die 100 times and record the proportion of times you get a 6 or lower. Repeat this many times,
and calculate the number of simulations where the sample proportion is 60% or less.
In a bag place 100 chips, 56 red and 44 blue. Randomly sample 100 chips, with replacement, and record the
proportion of red chips in the sample. Repeat this many times, and calculate the proportion of samples where
at least 60% of the chips are red.
Roll a 10-sided die 100 times and record the proportion of times you get a 6 or lower. Repeat this many times,
and calculate the number of simulations where the sample proportion is 56% or less.
O Incorrect
The question refers to the following learning objective(s):
In hypothesis testing for one categorical variable, generate simulated samples based on the null
hypothesis, and then calculate the number of samples that are at least as extreme as the observed data.
It is incorrect to sample residents of a nearby city because our hypothesis is about residents of a particular
city.
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