Please use the following information to answer subquestions (or in this case steps) 1, 2, 3, and 4 for question number 6 According to the 2018 General Social Survey (GSS), 60% of all U.S. households have at least one pet. A veterinarian in Ann Arbor decided to conduct asurvey to assess if over 60% of all Ann Arbor households have at least one pet. A 10% significance level was selected to be used. The random sampleof 280 Ann Arbor households, resulted in 182 stating they currently have at least one pet. These results are turned over to you to perform theappropriate test.1) State the appropriate hypotheses to be tested with a complete definition of the parameter of interest.(the significance level has been selected to be 10%).2) Check the necessary assumption(s) (you may assume that the selected sample is a random sample).3) Perform the appropriate test (include all supporting computations for the test statistic and p-value)4) Evaluate the p-value and provide a conclusion in context.Your answer needs to be organized well and use labels for your Steps 1, 2, 3, and 4.Question 6 AnswerNo answer entered. Click above to enter an answer.

Answered: According to the 2018 General Social…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Please use the following information to answer subquestions (or in this case steps) 1, 2, 3, and 4 for question number 6

According to the 2018 General Social Survey (GSS), 60% of all U.S. households have at least one pet. A veterinarian in Ann Arbor decided to conduct a
survey to assess if over 60% of all Ann Arbor households have at least one pet. A 10% significance level was selected to be used. The random sample
of 280 Ann Arbor households, resulted in 182 stating they currently have at least one pet. These results are turned over to you to perform the
appropriate test.
1) State the appropriate hypotheses to be tested with a complete definition of the parameter of interest.
(the significance level has been selected to be 10%).
2) Check the necessary assumption(s) (you may assume that the selected sample is a random sample).
3) Perform the appropriate test (include all supporting computations for the test statistic and p-value)
4) Evaluate the p-value and provide a conclusion in context.
Your answer needs to be organized well and use labels for your Steps 1, 2, 3, and 4.
Question 6 Answer
No answer entered. Click above to enter an answer.

Expert Solution

Step 1

Let p denotes the population proportion of Ann Arbor households have at least one pet. A survey to assess over 60% of all Ann Arbor households have at least one pet. The significance level is 10%. The hypothesis is,

Null hypothesis:

$H_{0} : p \leq 0.60$

Alternative hypothesis:

$H_{1} : p > 0.60$

Conditions:

If the conditions $n p > 5, n p > 5$ , then the normal distribution to test a proportion p is appropriate.

Checking conditions:

$\begin{array}{rcl} n p & = & 280 (0.60) \\ = & 168 \\ > & 5 \end{array}$

$\begin{array}{rcl} n q & = & 280 (1 - 0.60) \\ = & 280 \times 0.40 \\ = & 112 \\ > & 5 \end{array}$

It is clear that the conditions $n p > 5, n p > 5$ are satisfied indicating that the normal distribution to test a proportion p is to be used.

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