Problem 1. In order for a certain law to pass, it must be approved by more than 's of population. You wish to do a Hypothesis Test to determine if this law will pass. You randomly san 200 people and ask if they support the law or not. Let Y be the number of sampled pe who support the candidate. Let p be the unknown proportion of the population that s ports the law.

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
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Problem 1. In order for a certain law to pass, it must be approved by more than 's of the
population.
You wish to do a Hypothesis Test to determine if this law will pass. You randomly sample
200 people and ask if they support the law or not. Let Y be the number of sampled people
who support the candidate. Let p be the unknown proportion of the population that sup-
ports the law.
(b) Use R to simulate 200 people with p =
.70. What is the p-value your simulation?
(c) Does your simulation suggest that you should reject Ho at an a = .05 level?
(d) Use your simulation to give the a = .05 lower confidence bound for p.
Transcribed Image Text:Problem 1. In order for a certain law to pass, it must be approved by more than 's of the population. You wish to do a Hypothesis Test to determine if this law will pass. You randomly sample 200 people and ask if they support the law or not. Let Y be the number of sampled people who support the candidate. Let p be the unknown proportion of the population that sup- ports the law. (b) Use R to simulate 200 people with p = .70. What is the p-value your simulation? (c) Does your simulation suggest that you should reject Ho at an a = .05 level? (d) Use your simulation to give the a = .05 lower confidence bound for p.
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