A consulting firm gathers information on consumer preferences around the world to help companies monitor attitudes about health, food, and healthcare products. They asked people in many different cultures how they felt about the statement "I have a strong preference for regional or traditional products and dishes from where I come from." In a random sample of 810 respondents, 433 of 661 people who live in urban environments agreed (either completely or somewhat) with thatstatement, compared to 75 out of 149 people who live in rural areas. Based on this sample, is there evidence that the percentage of people agreeing with the statement about regional preferences differs between all urban and rural dwellers? Write the appropriate hypotheses to conduct a hypothesis test. Let p1 be the proportion of people living in urban environments that agree with the statement. Let p2 be the proportion of people living in rural environments that agree with the statement. Choose the correct answer below. A. H0: p1−p2=0 HA: p1−p2>0 B. H0: p1−p2=0 HA: p1−p2≠0 C. H0: p1−p2≠0 HA: p1−p2=0 D. H0: p1−p2>0 HA: p1−p2=0 Determine the test statistic. z=nothing (Round to two decimal places as needed.) Find the P-value. P=nothing (Round to three decimal places as needed.) State the conclusion. Use a significance level of α=0.1. Choose the correct answer below. ▼ Reject Do not reject the null hypothesis. There ▼ is is not sufficient evidence that the proportions of people that agree with the statement are different in urban and rural environments.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 6E

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A consulting firm gathers information on consumer preferences around the world to help companies monitor attitudes about health, food, and healthcare products. They asked people in many different cultures how they felt about the statement "I have a strong preference for regional or traditional products and dishes from where I come from." In a random sample of

810

respondents,

433

661

people who live in urban environments agreed (either completely or somewhat) with thatstatement, compared to

out of

149

people who live in rural areas. Based on this sample, is there evidence that the percentage of people agreeing with the statement about regional preferences differs between all urban and rural dwellers?

Write the appropriate hypotheses to conduct a hypothesis test. Let

be the proportion of people living in urban environments that agree with the statement. Let

be the proportion of people living in rural environments that agree with the statement. Choose the correct answer below.

H0:

p1−p2=0

HA:

p1−p2>0

H0:

p1−p2=0

HA:

p1−p2≠0

H0:

p1−p2≠0

HA:

p1−p2=0

H0:

p1−p2>0

HA:

p1−p2=0

Determine the test statistic.

z=nothing

(Round to two decimal places as needed.)

Find the P-value.

P=nothing

(Round to three decimal places as needed.)

State the conclusion. Use a significance level of

α=0.1.

Choose the correct answer below.

▼

Reject

Do not reject

the null hypothesis. There

▼

is not

sufficient evidence that the proportions of people that agree with the statement are different in urban and rural environments.

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