A pet adoption cernter researched the number of adoptions of dogs vs cats at four regional sites. Suppose observed freguencies were as follow Adoption Locations Pet Type 4s40 45 35 45 s0 40 4n Dogs Cats (0) Focusing on the proportion of dogs at each location, test the hypothesis that the population proportions are equal for all four locations. Use a o.05 level of significance State the nul and alternative hypotheses. O Ho Not all population proportions are equal. H, PA- Pa"Pc Po OH PAP Pc Po H Al population proportiohns are not equal O H Al populetion proportions are not equal. H PA" Pa Pc" Po O Mo PA Ps"Pc Po H, Not al population proportions are equal. Find the value of the test statistic (Round your answer to three decimal places.) What is the p-value? (Round your answer to four decimal places.) pvalue= What is your conclusion? O Reject H We conclude that the population proportions are not equal in each location, O Reject H We cannot reject the hypothesis that the population proportions are equal in each location ODo not reiect H We cannot relect the hypothesis that the population proportions are equal in each location

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 14PPS
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y w e ne approprate technoiogy to answer this question
A pet adoption center researched the number of adoptions of dogs vs cats at four regional sites. Suppose observed frequencies were as follows
Adoption Locations
Pet Type
45 40 45 35
45 so 40 4n
Dogs
Cats
(0) Focusing on the proportion of degs at each location, test the hypothesis that the population proportions are equal for all four locations. Use a 0.05 level of signincance.
State the nuli and aiternative hypotheses.
O Ho Not all population proportions are equal.
H PA- Pa "Pc" Po
OH PAPaPc Po
H All population proportions are not equal.
O Ho All population proportions are not equal.
H PA" Pa- Pc" Po
O Ho: PAPa Pc Po
H Not all population proportions are equal.
Find the value of the test statistic (Round your answer to three decimal places.)
What is the p-value? (Round your answer to four decimal places.)
p-value =
What is your concusion?
O Reject H We conclude that the population proportions are not equal in each location,
O Reject Ho We cannot reject the hypothesis that the population proportions are equal in each location
Do not rject H We cannot reject the hypothesis that the population proportions are equal in each location
Transcribed Image Text:y w e ne approprate technoiogy to answer this question A pet adoption center researched the number of adoptions of dogs vs cats at four regional sites. Suppose observed frequencies were as follows Adoption Locations Pet Type 45 40 45 35 45 so 40 4n Dogs Cats (0) Focusing on the proportion of degs at each location, test the hypothesis that the population proportions are equal for all four locations. Use a 0.05 level of signincance. State the nuli and aiternative hypotheses. O Ho Not all population proportions are equal. H PA- Pa "Pc" Po OH PAPaPc Po H All population proportions are not equal. O Ho All population proportions are not equal. H PA" Pa- Pc" Po O Ho: PAPa Pc Po H Not all population proportions are equal. Find the value of the test statistic (Round your answer to three decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value = What is your concusion? O Reject H We conclude that the population proportions are not equal in each location, O Reject Ho We cannot reject the hypothesis that the population proportions are equal in each location Do not rject H We cannot reject the hypothesis that the population proportions are equal in each location
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