Answered: meaning please A survey of 1000…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 7E: List the sample space of each experiment. Selecting a letter of the alphabet

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Related questions

Question

find p value and its meaning please

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

Your answer is correct.

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

Determine the value of the test statistic.

ZSTAT=2.182.18

(Type an integer or a decimal. Round to two decimal places as needed.)

Determine the critical value(s) for this test of hypothesis.

The critical value(s) is (are)

negative 1.96 comma 1.96−1.96, 1.96.

(Type integers or decimals. Round to two decimal places as needed. Use a comma to separate answers as needed.)

State the conclusion.

Reject

the null hypothesis. There is

sufficient

evidence to support the claim that there is a difference between males and females in the proportion who said they prefer window tinting as a luxury upgrade.

b. Find the p-value in (a) and interpret its meaning.

The p-value in part (a) is

enter your response here.

(Type an integer or a decimal. Round to three decimal places as needed.)

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