a.) State the null and alternative hypotheses. Ho: HA: b.) What distribution/model will you use to solve this problem? c.) Determine the Test Statistic and the p-value. Include work or list of calculator commands and inputs used.

a.) State the null and alternative hypotheses. Ho: HA: b.) What distribution/model will you use to solve this problem? c.) Determine the Test Statistic and the p-value. Include work or list of calculator commands and inputs used.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

A recent survey found that in a sample of 150 families, 46 owned dogs. A survey done 15 years ago found in a sample of 120 families, found 32 owned dogs. Is there evidence, using a = .05, that the proportion of families that own dogs has changed over this time period? a.) State the null and alternative hypotheses. Ho: HA: b.) What distribution/model will you use to solve this problem? c.) Determine the Test Statistic and the p-value. Include work or list of calculator commands and inputs used. d.) Should the null hypothesis be rejected? Yes or No; Explain how you made this decision. e.) Write a sentence summarizing, in the context of this question, your result. What does your conclusion imply the proportion, over this 15 year period, of families that own dogs?

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