Concept explainers
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
13. OxyContin The drug OxyContin (oxycodone) is used to treat pain, but it is dangerous because it is addictive and can be lethal. In clinical trials, 227 subjects were treated with OxyContin and 52 of them developed nausea (based on data from Purdue Pharma L.P.). Use a 0.05 significance level to test the claim that more than 20% of OxyContin users develop nausea. Does the rate of nausea appear to be too high?
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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 normal distribution as an approximation to the binomial distribution, as described in Part 1 of this section. Touch Therapy When she was 9 years of age, Emily Rosa did a science fair experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under Emily’s hand without seeing it and without touching it. Among 280 trials, the touch therapists were correct 123 times (based on data in “A Close Look at Therapeutic Touch,”…arrow_forwardUsing the Runs Test for Randomness. In Exercises 5–10, use the runs test with a significance level of α=0.05. (All data are listed in order by row.) Law Enforcement Fatalities Listed below are numbers of law enforcement fatalities for 20 recent and consecutive years. First find the mean, identify each value as being above the mean (A) or below the mean (B), then test for randomness above and below the mean. Is there a trend?arrow_forwardComplete the table below and find the variance and standard deviation of the ff. probability distribution. (Answer should be in yellow pad.) V. ASSESSMENT 1. x•P(x) X2•P(x) P(x) 3/10 10 2/10 2/10 2/10 4 25arrow_forward
- In Exercises 13–20, determine whether the data are from a discrete or continuous data set. Smartphones Students in a statistics class record the exact lengths of times that they surreptitiously use their smartphones during class.arrow_forwardLarge Data Sets from Appendix B. In Exercises 25–28, use the data set from Appendix B to test the given claim. Use the P-value method unless your instructor specifies otherwise. Diastolic Blood Pressure for Men Repeat the preceding exercise for adult males instead of adult females.arrow_forwardProbability & Statistics Q3.124arrow_forward
- Example (H.W.): Find the mean and variance from the m. g. f. of binomial distribution.arrow_forwardQUESTION: Investigate and explain about t- distribution and then provide 2 examples and solve it by using the table.arrow_forwardBinomial distribution probability is based on a. Mean and standard deviation Ob. Number of trials and probability of success Oc. Standard deviation and number of success Od. Mean and probability of successarrow_forward
- Practice Exercise Determine if the random variable X or Y is discrete or continuous. 1. X = number of points scored in the last season by a randomly selected basketball player in the PBA 2. Y = the height in centimeter of a randomly selected student inside the library 3. X = number of birds in a nest 4. Y = the weights in kg of randomly selected dancers after taking up aerobics 5. Z = the hourly temperatures last Sundayarrow_forwardASSESSMENT: A. Classify the random variables as discrete or continuous. 1. number of defective computers produced by a manufacturer 2. weight of newborns each year in a hospital 3. amount of paint utilized in a building project 4. average amount of electricity consumed per household per month 5. number of deaths per year attributed to lung cancerarrow_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
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,