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Do You Rea de survey asked Sample uits, During the past out nov hany books did you read either all or part of the way through? Please include any print, electronic, or audiobooks you may have read or listened to." he survey results reported the mean number of books read to be 15. Kelly is a library science major and wonders if adults who have a library card report reading more books in a year than the nationally reported mean. he obtains a random sample of 18 adults with a library card from her community library and asks them the same survey question. From her results he calculates a sample mean of 16.7 and a standard deviation of 4.0441.

Do You Rea de survey asked Sample uits, During the past out nov hany books did you read either all or part of the way through? Please include any print, electronic, or audiobooks you may have read or listened to." he survey results reported the mean number of books read to be 15. Kelly is a library science major and wonders if adults who have a library card report reading more books in a year than the nationally reported mean. he obtains a random sample of 18 adults with a library card from her community library and asks them the same survey question. From her results he calculates a sample mean of 16.7 and a standard deviation of 4.0441.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**How Much Do You Read?** ~ A nationwide survey conducted in 2019 asked a random sample of US adults, "During the past 12 months, about how many books did you read either all or part of the way through? Please include any print, electronic, or audiobooks you may have read or listened to." The survey results reported the mean number of books read to be 15. Kelly is a library science major and wonders if adults who have a library card report reading more books in a year than the nationally reported mean. She obtains a random sample of 18 adults with a library card from her community library and asks them the same survey question. From her results, she calculates a sample mean of 16.7 and a standard deviation of 4.0441.
Transcribed Image Text:**How Much Do You Read?** ~ A nationwide survey conducted in 2019 asked a random sample of US adults, "During the past 12 months, about how many books did you read either all or part of the way through? Please include any print, electronic, or audiobooks you may have read or listened to." The survey results reported the mean number of books read to be 15. Kelly is a library science major and wonders if adults who have a library card report reading more books in a year than the nationally reported mean. She obtains a random sample of 18 adults with a library card from her community library and asks them the same survey question. From her results, she calculates a sample mean of 16.7 and a standard deviation of 4.0441.
### Hypothesis Testing in Statistics: Understanding p-Values and Effect Sizes #### 1. What is the test statistic? <div class="test-statistic"> <input type="text" id="test-statistic" name="test-statistic"> </div> #### 2. Kelly's p-Value Interpretation Kelly calculates a p-value of 0.046187. Which of the following are correct interpretations of the p-value? Select all that apply: - <input type="checkbox" id="interpretation-a" name="interpretation-a"> **A.** A p-value of 0.046187 means that there is a 4.6187% chance that the null model is a good fit for the observed data. - <input type="checkbox" id="interpretation-b" name="interpretation-b"> **B.** Under the null model, we would expect a sample mean of 16.7 or more approximately 4.6187% of the time in repeated sampling. - <input type="checkbox" id="interpretation-c" name="interpretation-c"> **C.** A p-value of 0.046187 means we have strong evidence that the null hypothesis is true. - <input type="checkbox" id="interpretation-d" name="interpretation-d"> **D.** A p-value of 0.046187 means we have strong evidence against the null hypothesis. #### 3. Calculate the Effect Size Calculate the effect size for Kelly’s hypothesis test. <div class="effect-size"> \( \hat{d} = \) <input type="text" id="effect-size" name="effect-size"> </div> #### 4. Comparative Analysis Kelly shares her ideas with two friends in her major, Manuel and Josie, who decide to conduct similar hypothesis tests with samples from their own hometown libraries. - **Manuel’s Results:** - Sample Size: 15 - p-Value: 0.151 - Effect Size: 0.69 - **Josie’s Results:** - Sample Size: 44 - p-Value: 0.0034 - Effect Size: 0.7 <div class="comparison"> Josie’s results <select id="comparison" name="comparison"> <option value="are more significant than">are more significant than</option> <option
Transcribed Image Text:### Hypothesis Testing in Statistics: Understanding p-Values and Effect Sizes #### 1. What is the test statistic? <div class="test-statistic"> <input type="text" id="test-statistic" name="test-statistic"> </div> #### 2. Kelly's p-Value Interpretation Kelly calculates a p-value of 0.046187. Which of the following are correct interpretations of the p-value? Select all that apply: - <input type="checkbox" id="interpretation-a" name="interpretation-a"> **A.** A p-value of 0.046187 means that there is a 4.6187% chance that the null model is a good fit for the observed data. - <input type="checkbox" id="interpretation-b" name="interpretation-b"> **B.** Under the null model, we would expect a sample mean of 16.7 or more approximately 4.6187% of the time in repeated sampling. - <input type="checkbox" id="interpretation-c" name="interpretation-c"> **C.** A p-value of 0.046187 means we have strong evidence that the null hypothesis is true. - <input type="checkbox" id="interpretation-d" name="interpretation-d"> **D.** A p-value of 0.046187 means we have strong evidence against the null hypothesis. #### 3. Calculate the Effect Size Calculate the effect size for Kelly’s hypothesis test. <div class="effect-size"> \( \hat{d} = \) <input type="text" id="effect-size" name="effect-size"> </div> #### 4. Comparative Analysis Kelly shares her ideas with two friends in her major, Manuel and Josie, who decide to conduct similar hypothesis tests with samples from their own hometown libraries. - **Manuel’s Results:** - Sample Size: 15 - p-Value: 0.151 - Effect Size: 0.69 - **Josie’s Results:** - Sample Size: 44 - p-Value: 0.0034 - Effect Size: 0.7 <div class="comparison"> Josie’s results <select id="comparison" name="comparison"> <option value="are more significant than">are more significant than</option> <option
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