Answered: Consider the following two questions…

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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Consider the following two questions designed to assess quantitative literacy.

What is 15% of 1000?
A store is offering a 15% off sale on all TVs. The most popular television is normally priced at $1000. How much money would a customer save on the television during this sale?

Suppose the first question is asked of 200 randomly selected college students, with 163 answering correctly; the second one is asked of a different random sample of 200 college students, resulting in 146 correct responses. Carry out a test of hypotheses at significance level 0.05 to decide if the true proportion of correct responses to the question without context exceeds that for the one with context. (Use p₁ for the true proportion students who answered the question without context correctly and p₂ for the true proportion of students who answered the question with context correctly.)

State the relevant hypotheses.

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