Answered: In a certain survey, 516 people…

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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In a certain survey,

516

people chose to respond to this question: "Should passwords be replaced with biometric security (fingerprints, etc)?" Among the respondents,

said "yes." We want to test the claim that more than half of the population believes that passwords should be replaced with biometric security. Complete parts (a) through (d) below.

a. Are any of the three requirements violated? Can a test about a population proportion using the normal approximation method be used?

The sample observations are not a random sample, so a test about a population proportion using the normal approximating method cannot be used.

One of the conditions for a binomial distribution are not satisfied, so a test about a population proportion using the normal approximating method cannot be used.

All of the conditions for testing a claim about a population proportion using the normal approximation method are satisfied, so the method can be used.

The conditions

npgreater than or equals

and

nqgreater than or equals

are not satisfied, so a test about a population proportion using the normal approximation method cannot be used.

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