MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- According to an article in Newsweek, the natural ratio of girls to boys is 100:105 . In China, the birth ratio is 100:116 ( 46.3% girls). Suppose you don’t believe the reported figures of the percent of girls born in China. You conduct a study. In this study, you count the number of girls and boys born in 100 randomly chosen recent births. There are 42 girls and 58 boys born of the 100 . Based on your study, do you believe that the percent of girls born in China is 46.3 ? A.)What is the test statistic? Round your answer to three decimal places. (z / t ) = B.) What is the p -value? Round your answers to four decimal places. p -value = C.) Let α=0.05 . Decision: (Reject the null hypothesis / do not reject the null hypothesis) Reason for decision: ( a < p-value / a > p-value) Conclusion: There is (insufficient/ insufficient) evidence to conclude that the percentage of girls born in China is different from 46.3% .arrow_forwardThe director of library services at a college did a survey of types of books (by subject) in the circulation library- Then she used library records to take a random sample of 888 books checked out last term and classified the books in the sample by subject. The results are shown below. Percent of Books on Subject in Circulation Library on This Subject 32% Number of Books in Sample on This Subject 265 Subject Area Business Humanities 25% 20% 226 Natural Science Social Science 224 15% 104 All other subjects 69 Using a 5% level of significance, test the daim that the subject distribution of books in the library fits the distribution of books checked out by students. (a) What is the level of significance? State the null and alternate hypotheses. O Hg: The distributions are the same. H: The distributions are the same. O Hg: The distributions are different. H: The distributions are different. O Hg: The distributions are different. H: The distributions are the same. O Hg: The distributions…arrow_forwardIn 1950, an organization surveyed 1100 adults and asked, "Are you a total abstainer from, or do you on occasion consume, alcoholic beverages?" Of the 1100 adults surveyed, 374 indicated that they were total abstainers. In a recent survey, the same question was asked of 1100 adults and 330 indicated that they were total abstainers. Complete parts (a) and (b) below. (a) Determine the sample proportion for each sample. The proportions of the adults who took the 1950 survey and the recent survey who were total abstainers are respectively. (Round to three decimal places as needed.) 1559 andarrow_forward
- A national survey of graduate students is conducted to assess their consumption of coffee. The following table summarizes the data. What proportion of coffee drinkers (caffeinated and decaffeinated) is female? Do Not Drink Coffee Drink Decaffeinated Only Drink Caffeinated Coffee Male 145 94 365 Female 80 121 430 A)0.70 B)0.50 C)0.90 D)0.546arrow_forwardThirty-two percent of all Americans drink bottled water more than once a week (Natural resources Defense Council, December 4, 2015). Suppose you have been hired by the Natural Resources Defense Council to investigate bottled water consumption in St. Paul. You plan to select a sample of St. Paulites to estimate the proportion who drink bottled water more than once a week. Assume the population proportion of St. Paulites who drink bottled water more than once a week is 0.32, the same as the overall proportion of Americans who drink bottled water more than once a week. E(p bar) = Based upon a sample of 540 St. Paulites, what is the probability that the sample proportion will be within 0.08 of the population proportion (to 4 decimals). Probability = Suppose you select a sample of 230 St. Paulites. Show the sampling distribution of p bar (to 4 decimals). Based upon a smaller sample of only 230 St. Paulites, what is the probability that the sample proportion will be within 0.08 of the…arrow_forwardWhat is the proportion of the blood type O?arrow_forward
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