Use the following scenario to conduct a hypothesis test.  You will again go through the different steps that you initially learned about last week.  As usual, you will need access to Table B so you can figure out the P-value in order to reach an appropriate conclusion.   Are you a dog owner?  It has been claimed that the proportion of households in the United States that own at least one dog is 0.58.  A veterinary researcher has some reason to doubt this claim.  She does not know if the true proportion of households that own a dog is larger than or smaller than 0.58; she just thinks the true proportion is different from 0.58.  To test her theory, she surveys a random sample of 682 households and finds that 364 of these households report owning a dog.  Use this information to conduct a hypothesis test at a significance (or alpha) level of 0.05.   What will the hypotheses be? Ho: Ha: 2. What is the sample proportion? Please calculate this value below and round your answer to three decimal places. 3.What is the test statistic? Please calculate this value below, using the given formula.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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Use the following scenario to conduct a hypothesis test.  You will again go through the different steps that you initially learned about last week.  As usual, you will need access to Table B so you can figure out the P-value in order to reach an appropriate conclusion.

 

Are you a dog owner?  It has been claimed that the proportion of households in the United States that own at least one dog is 0.58.  A veterinary researcher has some reason to doubt this claim.  She does not know if the true proportion of households that own a dog is larger than or smaller than 0.58; she just thinks the true proportion is different from 0.58.  To test her theory, she surveys a random sample of 682 households and finds that 364 of these households report owning a dog.  Use this information to conduct a hypothesis test at a significance (or alpha) level of 0.05.

 

  1. What will the hypotheses be?

Ho:

Ha:

2. What is the sample proportion? Please calculate this value below and round your answer to three decimal places.

3.What is the test statistic? Please calculate this value below, using the given formula.

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