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Chapter 9: Q.35 (page 562)

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

You toss a coin 10 times to test the hypothesis H0:p=0.5 that the coin is balanced.

Short Answer

Expert verified

we aren't safe carrying out a one-sample z test for the population proportion p as the success and failures are not larger than ten.

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 n =100

The hypothesis is

Using the number of success = np

=10脳0.5=5

The number of failures = n(1-p)

=10脳(1-0.5)=5

Hence we aren't safe carrying out a one-sample z test for the population proportion p as the success and failures are not larger than ten.

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Most popular questions from this chapter

When ski jumpers take off, the distance they fly varies considerably depending on their speed, skill, and wind conditions. Event organizers must position the landing area to allow for differences in the distances that the athletes fly. For a particular competition, the organizers estimate that the variation in distance flown by the athletes will be

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Tests and CIs The P-value for a one-sided test of the null hypothesisH0:渭=15is 0.03.

(a) Does the 99%confidence interval for 渭include 15? Why or why not?

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