Answered: Are you an impulse shopper? A survey…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 42PFA

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Part 1

a. At the 0.01 level of significance, is there evidence of a difference in the proportion of males and females who make an impulse purchase every time they shop?

Let group 1 be the males, and let group 2 be the females. State the null and alternative hypotheses. Choose the correct answer below.

A. H0:π1≥π2 H1:π1<π2

BH0: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:π1≤π2

Part 2

Calculate the test statistic.

χ2STAT=

(Round to three decimal places as needed.)

Part 3

Determine the critical value.

The critical value is -

(Round to three decimal places as needed.)

Part 4

State the conclusion.

▼

Reject

Do not reject

the null hypothesis. There is

▼

insufficient or sufficient evidence at the 0.01

level of significance to conclude that there is a difference in the proportion of males and females who make an impulse purchase every time they shop.

Part 5

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

The p-value is

(Round to three decimal places as needed.)

Part 6

Interpret the p-value.

The p-value is the probability that in a random sample of

1000 adults, the difference between the proportions of males and females who make an impulse purchase every time they shop will be at least as great, as the same as,no greater than

the difference in this sample, assuming that the proportion of males who make an impulse purchase every time they shop is

the proportion for females in the population.

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