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Chapter 9: Q.38 (page 562)

For Yvonne's survey, 96 students in the sample said they seldom or never argue with friends.

(a) Calculate the test statistic.

(b) Find the P-value using Table A. Show this result as an area under a standard Normal curve.

Short Answer

Expert verified

a. The test statistic is-2.18

b. The P-value is0.0101

Step by step solution

01

Introduction

A p-value is a factual estimation used to approve a theory against noticed information. A p-esteem estimates the likelihood of getting the noticed outcomes, it is consistent with expectations that the invalid speculation. The lower the p-esteem, the more prominent the factual meaning of the noticed distinction.

02

Explanation Part (a)

The population proportion is p = 0.72

Number of trials is n = 150

Number of success is p = 96

Using,

z=p^鈭�p0p01鈭�p0n

=0.64鈭�0.720.72(1鈭�0.72)150=-2.18

Hence the test statistic value is-2.18

03

Explanation Part (b)

Calculating the p-value,

=2脳P(|Z|>鈭�2.18)

=0.0292

The graph is shown,

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Most popular questions from this chapter

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