Concept explainers
Testing Claims About Proportions. In Exercises 7–22, 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.
12. Clinical Trials of OxyContin OxyContin (oxycodone) is a drug used to treat pain, but it is well known for its addictiveness and danger. In a clinical trial, among subjects treated with OxyContin, 52 developed nausea and 175 did not develop nausea. Among other subjects given placebos, 5 developed nausea and 40 did not develop nausea (based on data from Purdue Pharma L.P.). Use a 0.05 significance level to test for a difference between the rates of nausea for those treated with OxyContin and those given a placebo.
a. Use a hypothesis test.
b. Use an appropriate confidence interval.
c. Does nausea appear to be an adverse reaction resulting from OxyContin?
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- Help!arrow_forwardA radio station publicizes that its proportion of the local listening of the selected 23 audience is greater than or equal to 39%. 10. Parameter: 11. Null Hypothesis: 12. Alternative Hypothesis: (beliearrow_forwardTesting Claims About Proportions. In Exercises 7–22, 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. License Plate Laws The Chapter Problem involved passenger cars in Connecticut and passenger cars in New York, but here we consider passenger cars and commercial trucks. Among 2049 Connecticut passenger cars, 239 had only rear license plates. Among 334 Connecticut trucks, 45 had only rear license plates (based on samples collected by the author). A reasonable hypothesis is that passenger car owners violate license plate laws at a higher rate than owners of commercial trucks. Use a 0.05 significance level to test that hypothesis. a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval.arrow_forward
- hypothesis test, a. determine the null hypothesis. b. determine the alternative hypothesis. c. classify the hypothesis test as two tailed, left tailed, or right tailed. Toxic Mushrooms? Cadmium, a heavy metal, is toxic to ani-mals. Mushrooms, however, are able to absorb and accumulate cad-mium at high concentrations. The Czech and Slovak governments have set a safety limit for cadmium in dry vegetables at 0.5 part per million (ppm). M. Melgar et al. measured the cadmium levels in a random sample of the edible mushroom Boletus pinicola and pub-lished the results in the paper “Influence of Some Factors in Toxi-city and Accumulation of Cd from Edible Wild Macrofungi in NW Spain” (Journal ofEnvironmental Science and Health, Vol. B33(4), pp. 439–455). A hypothesis test is to be performed to decide whether the mean cadmium level in Boletus pinicola mushrooms is greater than the government’s recommended limitarrow_forwardHypothesis Testingarrow_forwardHow do you find and create a null hypothesis? Research question is : On average, are people enrolled in a Canadian post-secondary institution taller than the national average? Hypothesis: On average, people enrolled in a Canadian post-secondary institution are taller than the national average.arrow_forward
- A researcher selects a sample and administers treatment for anxiety to the individuals in the sample. If the sample is used for a hypothesis test, what does the null hypothesis (H0) put forth about the treatment? Group of answer choices The treatment has an effect on anxiety. The treatment divides each anxiety score by a constant. The treatment multiplies each anxiety score by a constant. The treatment has no effect on anxiety.arrow_forwardK Describe type I and type II errors for a hypothesis test of the indicated claim. A furniture store claims that at least 75% of its new customers will return to buy their next piece of furniture. Describe the type I error. Choose the correct answer below. OA. A type I error will occur when the actual proportion of new customers who return piece furniture is no more than 0.75, but you reject Ho: ps 0.75. OB. A type I error will occur when the actual proportion of new customers who return. piece of furniture is at least 0.75, but you reject Ho: p20.75. buy their next buy their next OC. A type I error will occur when the actual proportion of new customers who return to buy their next piece furniture is at least 0.75, but you fail to reject Ho: p20.75. OD. A type I error will occur when the actual proportion of new customers who return buy their next piece of furniture is no more than 0.75, but you fail to reject Ho: p≤0.75. Describe the type Il error. Choose the correct answer below. OA.…arrow_forwardFinal Conclusions. In Exercises 25–28, use a significance level of α = 0.05 and use the given information for the following: a. State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0) b. Without using technical terms or symbols, state a final conclusion that addresses the original claim. Original claim: The standard deviation of pulse rates of adult males is more than 11 bpm. The hypothesis test results in a p-value of 0.3045.arrow_forward
- Inferential Statistics Are the M&M’s weights accurate? According to the package, each small bag of peanut M&M’s should weigh 49.3 grams. To determine if the bag weights are on target, use the weight of the bags of M&M’s and conduct a hypothesis test to see if the company’s claim is true. Using α = .05 and the five-step process, be sure to include your hypotheses and work. Calculate the corresponding confidence interval for the mean of the weights. Does your results and decision in this problem match the decision you made in Problem 5? Is the average number of orange M&M’s in a bag different from the average number of brown M&M’s? Conduct a hypothesis test at the α = .05 level to answer that question. The following data set includes information from 30 bags of M&M’s. For each bag, the count for each color is provided as well as the bag’s weight prior to it being open. Bag # Red Green Blue Orange Yellow Brown Weight 1…arrow_forwardMm3arrow_forwardState whether the standardized test statistic t indicates that you should reject the null hypothesis. Explain. (a) t = -2.272 (b) t = 2.154 (c) t = 2.303 (d) t= -2.301 -to = -2.226 to = 2.226arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill