A survey of 1000 adults from a certain region asked, "If purchasing a used car made certain upgrades or features more affordable, what would be your preferred luxury upgrade?" The results indicated that 58% of the females and 51% of the males answered window tinting. The sample sizes of males and females were not provided. Suppose that of 600 females, 348 reported window tinting as their preferred luxury upgrade of choice, while of 400 males, 204 reported window tinting as their preferred luxury upgrade of choice. Complete parts (a) through (d) below. a. Is there evidence of a difference between males and females in the proportion who said they prefer window tinting as a luxury upgrade at the 0.05 level of significance? State the null and alternative hypotheses, where π1 is the population proportion of females who said they prefer window tinting as a luxury upgrade and π2 is the population proportion of males who said they prefer window tinting as a luxury upgrade. A. H0: π1=π2 H1: π1≠π2 B. H0: π1=π2 H1: π1>π2 C. H0: π1≠π2 H1: π1=π2 D. H0: π1≠π2 H1: π1<π2 E. H0: π1≠π2 H1: π1>π2 F. H0: π1=π2 H1:

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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Question

A survey of

1000

adults from a certain region asked, "If purchasing a used car made certain upgrades or features more affordable, what would be your preferred luxury upgrade?" The results indicated that

58%

of the females and

51%

of the males answered window tinting. The sample sizes of males and females were not provided. Suppose that of

600

females,

348

reported window tinting as their preferred luxury upgrade of choice, while of

400

males,

204

reported window tinting as their preferred luxury upgrade of choice. Complete parts (a) through (d) below.

a. Is there evidence of a difference between males and females in the proportion who said they prefer window tinting as a luxury upgrade at the

0.05

level of significance?

State the null and alternative hypotheses, where

π1

is the population proportion of females who said they prefer window tinting as a luxury upgrade and

π2

is the population proportion of males who said they prefer window tinting as a luxury upgrade.

H0:

π1=π2

H1:

π1≠π2

H0:

π1=π2

H1:

π1>π2

H0:

π1≠π2

H1:

π1=π2

H0:

π1≠π2

H1:

π1<π2

H0:

π1≠π2

H1:

π1>π2

H0:

π1=π2

H1:

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