Answered: Will Proposition 100 Pass? (b) Based on…

Will Proposition 100 Pass? (b) Based on the interval, is there convincing evidence that a majority of registered voters in the city plan to vote for Proposition 100?

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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Question

In justifying a claim, How can we know that there is convincing evidence and do not have convincing evidence based on the confidence interval? Why is it in the first example, there is convincing evidence, but in the second one there is no convincing evidence?

Will Proposition 100 Pass?
(b) Based on the interval, is there convincing evidence that a majority of
registered voters in the city plan to vote for Proposition 100?
Because 0.5 and values less than 0.5 are included in the interval (0.474 to
0.562), we do not have convincing evidence that a majority of registered
voters in the city plan to vote for Proposition 100.

Justifying a Claim
According to city administrators, propositions need at least 6000 valid
signatures to qualify to be on the ballot in the next election. Do the
supporters of Proposition 100 have enough signatures?
Because the supporters submitted 9388 signatures, the required proportion
of valid signatures is 6000/9388 = 0.639.
Because all of the values in the confidence interval (0.689 to 0.767) are
greater than 0.639, there is convincing evidence that the supporters of
Proposition 100 have enough signatures.

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