A humane society claims that less than 72% of households in a certain country own a pet. In a random sample of 700 households in that country, 476 say they own a pet. At a = 0.01, is there enough evidence to support the society's claim? Complete parts (a) through (c) below. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) O A. The percentage households in the country that own a pet is not %. O B. More than % of households in the country own a pet. C C. Less than 72 % of households in the country own a pet. O D. % of households in the country own a pet. Let p be the population proportion of successes, where a success is a household in the country that owns a pet. State Ho and H. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) A. Ho: p2 0.72 OB. Ho: p= OC. Ho: ps Hp< 0.72 H p H: p> OD. Ho: p< OE. Ho: P OF Ho: p# H: p2 H ps H: p= (b) Use technology to find the P-value. Identify the standardized test statistic. z- -2.36 (Round to two decimal places as needed.) Identify the P-value. (Round to three decimal places as needed.)
A humane society claims that less than 72% of households in a certain country own a pet. In a random sample of 700 households in that country, 476 say they own a pet. At a = 0.01, is there enough evidence to support the society's claim? Complete parts (a) through (c) below. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) O A. The percentage households in the country that own a pet is not %. O B. More than % of households in the country own a pet. C C. Less than 72 % of households in the country own a pet. O D. % of households in the country own a pet. Let p be the population proportion of successes, where a success is a household in the country that owns a pet. State Ho and H. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) A. Ho: p2 0.72 OB. Ho: p= OC. Ho: ps Hp< 0.72 H p H: p> OD. Ho: p< OE. Ho: P OF Ho: p# H: p2 H ps H: p= (b) Use technology to find the P-value. Identify the standardized test statistic. z- -2.36 (Round to two decimal places as needed.) Identify the P-value. (Round to three decimal places as needed.)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterP: Prologue: Calculator Arithmetic
Section: Chapter Questions
Problem 2E: Pet Owners According to the Humane Society, in 2015, 65% of U.S. households owned at least one pet,...
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Transcribed Image Text:A humane society claims that less than 72% of households in a certain country own a pet. In a random sample of 700 households in that country, 476 say they own a pet. At a = 0.01, is there enough evidence to support the society's claim?
Complete parts (a) through (c) beklow.
Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice.
(Type an integer or a decimal. Do not round.)
O A. The percentage households in the country that own a pet is not
%.
O B. More than % of households in the country own a pet.
CC. Less than 72 % of households in the country own a pet.
O D. % of households in the country own a pet.
Let p be the population proportion of successes, where a success is a household in the country that owns a pet. State Ho and H. Select the correct choice below and fill in the answer boxes to complete your choice.
(Round to two decimal places as needed.)
A. Ho: p2 0.72
OB. Ho:p=
OC. Ho: ps
Hp< 0.72
H p
H:p>
OD. Ho: p<
OE Ho: p>
OF. Ho: p
H: p2
H ps
H: p=
(b) Use technology to find the P-value.
Identify the standardized test statistic.
z- -2.36
(Round to two decimal places as needed.)
Identify the P-value.
(Round to three decimal places as needed.)
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