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Testing Claims About Proportions. In Exercises 9–32, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Use the P-value method unless your instructor specifies otherwise. Use the
16. Drug Screening The company Drug Test Success provides a “1-Panel-THC” test for marijuana usage. Among 300 tested subjects, results from 27 subjects were wrong (either a false positive or a false negative). Use a 0.05 significance level to test the claim that less than 10% of the test results are wrong. Does the test appear to be good for most purposes?
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Elementary Statistics (13th Edition)
- Nominal Data. In Exercises 9–12, use the sign test for the claim involving nominal data. Births A random sample of 860 births in New York State included 426 boys and 434 girls. Use a 0.05 significance level to test the claim that when babies are born, boys and girls are equally likely.arrow_forwardQUESTION: Investigate and explain about t- distribution and then provide 2 examples and solve it by using the table.arrow_forwardEagles always lay three eggs at a time. The number of eggs that hatch is described by the following probability distribution: 1. P(X = x) 0.1 0.3 0.4 0.2 Find the mean, variance and standard deviation. Write your solution on your paper. 3.arrow_forward
- 6 Joan records the temperature every day. The highest temperature she recorded was 29 °C to the nearest degree. Let X represent the error in the measured temperature. a Suggest a suitable model for the distribution of X. b Using your model, calculate the probability that the error will be less than 0.2°C. e Find the variance of the error in the measured temperature.arrow_forwardIV. Exercises: Find the Mean, variance and the standard deviation of the following probability distribution. x p(x) x.p(x) P(x) 0.238 2 0.290 0.177 0.158 0.137 Find: p= ? o2 = ? O = ? 34arrow_forwardEngineering data analysis show solutionarrow_forward
- LINEAR REGRESSION 2) During the last three months, on 10 occasions a sound equipment store appeared in television commercials to promote your sales. The managers want to investigate whether there is a relationship between the number of commercials broadcast on the weekend and the sales in the following week according to the table (img1) A. What are the mean and median of each distribution? B. What is the variance and standard deviation of each distribution? C. Make the scatterplot, calculate the covariance and discuss it D. Calculate Pearson's correlation coefficient. Is it consistent with covariance? Comment it.arrow_forwardStatistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores: Grades 69 69 63.9 68.4 62.7 73.5 73.5 64.3 Test grades are believed to be normally distributed. Use a significance level of 5%. A. State the alternative hypothesis: HA: Ομ 65 B. State the mean of the sample: C. State the standard error of the sample means: D. State the test statistic: t = E. State the p-value: F. Decision: O Fail to reject the null hypothesis. Reject the null hypothesis. 73.5 96arrow_forwardDiscrete math: Indicate whether each of the statements below is True or False. No explanation is needed.arrow_forward
- Assignment. Read the instruction carefully. (Statistics and Probability 11) B. Write YES if the distribution given is a valid probability distribution for discreterandom variable X; otherwise, write NO. 1. X 0 1 3 4 P (x) 0.22 0.17 0.28 0.33 X 3 4 5 7 P (x) -0.15 -0.27 -0.30 -0.28 3. X 6 8 10 12 P (x) 0.56 0.2 0.2 0.04 4. X 2 3 4 5 P (x) 0.01 0.01 0.1 0.07 5. X 0 1 2 3 P (x) 0.25 0.25 0.25 0.25arrow_forwardProb distr. basedarrow_forwardStatistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores: Grades 96 96 66.5 68.4 62.7 62.7 61.9 73.5 73.5 85.5 Test grades are believed to be normally distributed. Use a significance level of 5%. A. State the alternative hypothesis: H: Ou 65 B. State the mean of the sample: (Round to two decimal places.) C. State the standard error of the sample means: (Round to four decimal places.) D. State the test statistic: t = (Round to four decimal places.) E. State the p-value: (Round to four decimal places.) F. Decision: O Do not reject the null hypothesis. O Reject the null hypothesis. dese > Next Questionarrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill