Question
How Much Do You Read? ~ A nation-wide survey conducted in 2019 asked a random sample of US adults, During the past 12 months, about
How Much Do You Read? ~ A nation-wide 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 13.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 15 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 16.1 and a standard deviation of 4.4828.Round all calculated values to 4 decimal places as appropriate.1. Kelly wants to use a hypothesis test to answer her research question. Which test should she use?A. 22 goodness of fit test B. t test for sample mean C. 22 test of independence D. Z test for one population proportion E. Z test for difference of two population proportions2. Which set of hypotheses should Kelly use to answer her research question?A. H0:=13H0:=13 vs. Ha:>13Ha:>13 B. H0:=13H0:=13 vs. Ha:13Ha:13 C. H0:=13H0:=13 vs. Ha:<13Ha:<13 D. H0:<16.1H0:<16.1 vs. Ha:>16.1Ha:>16.13. What conditions must be met for the hypothesis test to be valid? Select all that apply: A. Kelly must have at least 10 people in her sample who say they read a book last year and at least 10 who did not. B. Kelly must be able to assume that the number of books US adults read in a year is normally distributed because her sample size is less than 30. C. Kelly's sample observations must be normally distributed. D. Kelly's sample observations must be independent. 4. What is the test statistic? ? z t X^2 = 5. Kelly calculates a p-value of 0.009003. Which of the following are correct interpretations of the p-value? Select all that apply: A. Under the null model, we would expect a sample mean of 16.1 or more approximately 0.9003% of the time in repeated sampling. B. A p-value of 0.009003 means we have very strong evidence against the null hypothesis. C. A p-value of 0.009003 means that there is a 0.9003% chance that the null model is a good fit for the observed data. D. A p-value of 0.009003 means we have very strong evidence that null hypothesis is true. 6. Calculate the effect size for Kelly's hypothesis test.d^=d^= 7. 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 obtains a sample size of 18, a p-value of 0.221 and an effect size of 0.59.Josie obtains a sample size of 40, a p-value of 0.0027 and an effect size of 0.6.Josie's results ? confirm conflict with Manuel's results because the ? p-values effect sizes sample sizes are ? similar dissimilar .
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