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Chapter 11: Q.3 (page 480)

Explain what each phrase means in the context of inferences for a population proportion.

a. Number of successes

b. Number of failures

Short Answer

Expert verified

(a)The number of successful members in the sample is equal to the number of members who have the requested property.

(b) The number of failures refers to the number of people in the sample that lack the required property.

Step by step solution

01

Part(a) Step 1: Given information

Given in the question that, Given in the question that, we need to explain meaning of the phrase Number of successes in the context of inferences for a population proportion.

02

Part(a) Step 2: Explanation

If the number of individuals in the sample who have the specified attribute is greater than one.

As a result, the number of successful members in the sample is equal to the number of members who have the requested property.

03

Part (b) Step 1: Given information

Given in the question that, we need to explain meaning of the phrase Number of failures in the context of inferences for a population proportion.

04

Part(b) Step 2: Explanation

If the sample has a large number of members who do not have the specified attribute.

As a result, the number of failures refers to the number of people in the sample that lack the required property.

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Most popular questions from this chapter

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In this Exercise, we have given the number of successes and the sample size for a simple random sample from a population. In each case,

a. use the one-proportion plus-four z-interval procedure to find the required confidence interval.

b. compare your result with the corresponding confidence interval found in Exercises 11.25-11.30, if finding such a confidence interval was appropriate.

x=3,n=100,99%level

a. Determine the sample proportion.

b. Decide whether using the one-proportion z-test is appropriate.

c. If appropriate, use the one-proportion z-test to perform the specified hypothesis test.

x=40

n=50

H0:p=0.6

Ha:p>0.6

α=0.01

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