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Chapter 9: Q.36 (page 562)

Explain why we aren't safe carrying out a one-sample z test for the population proportion p. A college president says, " 99 % of the alumni support my firing of Coach Boggs." You contact an SRS of 200 of the college's 15,000 living alumni to test the hypothesis H0:p=0.99

Short Answer

Expert verified

we aren't safe carrying out a one-sample z test for the population proportion p

Step by step solution

01

Introduction

The null hypothesis is a commonplace factual hypothesis which recommends that no factual relationship and importance exists in a bunch of given single noticed variables, between two arrangements of noticed information and estimated peculiarities.

02

Explanation

The sample size is n =200

The population proportion is p = role="math" localid="1652870423869" 99%=0.99

The number of successes = np

=200脳0.99=198

The number of failures = n(1-p)

=200脳(1-0.99)=2

Hence, we aren't safe carrying out a one-sample z test for the population proportion p as the number of successes is larger than ten but the number of failures is less than ten.

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You are testing H0:渭=10against H伪:渭鈮�10based on an SRS of 15tobservations from a Normal population. What values of the statistic are statistically significant at the伪=0.005level?

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A software company is trying to decide whether to produce an upgrade of one of its programs. Customers would have to pay \(100for the upgrade. For the upgrade to be profitable, the company needs to sell it to more than 20%of their customers. You contact a random sample of 60customers and find that 16 would be willing to pay \)100for the upgrade.

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