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Chapter 10: Problem 43

Step 5 of the five-step process for hypothesis testing is communication of results. What is involved in completing this step?

Short Answer

Expert verified
Step 5 of the hypothesis testing process, 'communication of results', includes presenting the statistical findings in a clear and understandable manner using graphs, tables, and charts. The findings are interpreted in language that is easy for the target audience to understand. It also typically includes discussing the limitations of the study and potential areas for further research.

Step by step solution

01

Understanding Hypothesis Testing

Hypothesis testing is a statistical method that is used in making statistical decisions using experimental data. It is basically an assumption that we make about the population parameter.
02

Breaking Down the 5 Steps

The five-step process for hypothesis testing is: 1) State the hypotheses. This involves stating both the null and alternative hypotheses. 2) Formulate an analysis plan. 3) Analyze sample data. 4) Interpret the results. 5) Communication of results.
03

Understanding the 5th Step: Communication of Results

The fifth step of the hypothesis testing process, 'communication of results', involves presenting the statistical findings in a clear, understandable manner. This can be done through graphs, tables, and charts. Furthermore, the findings should be interpreted in language that is easy for the target audience to understand. In addition, the limitations of the study and potential areas for further research are also typically part of this communication.

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Most popular questions from this chapter

Explain why you would not reject the null hypothesis if the \(P\) -value were 0.37 .

In a survey conducted by Yahoo Small Business, 1,432 of 1,813 adults surveyed said that they would alter their shopping habits if gas prices remain high (Associated Press, November 30,2005\() .\) The article did not say how the sample was selected, but for purposes of this exercise, assume that the sample is representative of adult Americans. Based on the survey data, is it reasonable to conclude that more than threequarters of adult Americans would alter their shopping habits if gas prices remain high?

The article "Breast-Feeding Rates Up Early" (USA Today, Sept. 14,2010 ) summarizes a survey of mothers whose babies were born in \(2009 .\) The Center for Disease Control sets goals for the proportion of mothers who will still be breast-feeding their babies at various ages. The goal for 12 months after birth is 0.25 or more. Suppose that the survey used a random sample of 1,200 mothers and that you want to use the survey data to decide if there is evidence that the goal is not being met. Let \(p\) denote the proportion of all mothers of babies born in 2009 who were still breast-feeding at 12 months. (Hint: See Example 10.10 ) a. Describe the shape, center, and spread of the sampling distribution of \(\hat{p}\) for random samples of size 1,200 if the null hypothesis \(H_{0}: p=0.25\) is true. b. Would you be surprised to observe a sample proportion as small as \(\hat{p}=0.24\) for a sample of size 1,200 if the null hypothesis \(H_{0}: p=0.25\) were true? Explain why or why not. c. Would you be surprised to observe a sample proportion as small as \(\hat{p}=0.20\) for a sample of size 1,200 if the null hypothesis \(H_{0}: p=0.25\) were true? Explain why or why not. d. The actual sample proportion observed in the study was \(\hat{p}=0.22 .\) Based on this sample proportion, is there convincing evidence that the goal is not being met, or is the observed sample proportion consistent with what you would expect to see when the null hypothesis is true? Support your answer with a probability calculation.

Which of the following are legitimate hypotheses? a. \(p=0.65\) b. \(\hat{p}=0.90\) c. \(\hat{p}=0.10\) d. \(p=0.45\) e. \(p>4.30\)

A county commissioner must vote on a resolution that would commit substantial resources to the construction of a sewer in an outlying residential area. Her fiscal decisions have been criticized in the past, so she decides to take a survey of residents in her district to find out if they favor spending money for a sewer system. She will vote to appropriate funds only if she can be reasonably sure that a majority of the people in her district favor the measure. What hypotheses should she test?
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