Olestra is a fat substitute approved by the FDA for use in snack foods. Because there have been anecdotal reports of gastrointestinal problems associated with olestra consumption, a randomized, double-blind, placebo-controlled experiment was carried out to compare olestra potato chips to regular potato chips with respect to GI symptoms (“Gastrointestinal Symptoms Following Consumption of Olestra or Regular Triglyceride Potato Chips,” J. of the Amer. Med. Assoc., 1998: 150–152). Among 529 individuals in the TG control group, 17.6% experienced an adverse GI
a. Carry out a test of hypotheses at the 5% significance level to decide whether the incidence rate of GI problems for those who consume olestra chips according to the experimental regimen differs from the incidence rate for the TG control treatment.
b. If the true percentages for the two treatments were 15% and 20%, respectively, what
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Chapter 9 Solutions
Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
- Rogers, Farlow, and colleagues (1998) conducted an experiment to investigate whether donepezil improved cognitive function in patients with mild to moderate Alzheimer’s disease (AD). A total of 1,775 patients were randomly assigned to treatment with either donepezil or a placebo (a look-alike pill with no pharmacological effect). Cognitive function, as measured by the Alzheimer’s Disease Assessment Scale (ADAS-cog), was significantly improved in patients taking donepezil compared with the placebo group at weeks 12, 18, and 24. [Source: Rogers, S. L., Farlow, M. R., Doody, R. S., et al. (1998). A 24-week, double-blind, placebo controlled trial of donepezil in patients with Alzheimer’s disease. Neurology, 50, 136–145.] In this experiment, the independent variable is , and the dependent variable is . The individuals who are in the control condition are typically referred to as the control group. Here, the control group consists of . is a construct that is being tested in this…arrow_forwardA simple random sample of size n=200 drivers with a valid driver's license is asked if they drive an American-made automobile. Of the 200 drivers surveyed, 106 responded that they drive an American-made automobile. Determine if a majority of those with a valid driver's license drive an American-made automobile at the a=0.05 level of significance. What type of variable is "drive an American-made automobile, or not"? OA. Qualitative with more than two possible outcomes OB. Discrete OC. Continuous OD. Qualitative with two possible outcomesarrow_forwardTexting while driving: The accident rate for students who didn’t text while using a driving simulator was 7%. In a driver distraction study of 1,876 randomly selected students, the accident rate for students who texted while driving was higher than 7%. This difference was statistically significant at the 0.05 level. Which of the following best describes how we should interpret these results? Because of the large size of the sample, these results are strong evidence that texting accounts for a much larger proportion of accidents in the population of student drivers. With a large sample, statistically significant results suggest a large increase in the accident rate for the texting group over the control group. With a large sample, statistically significant results may actually be only a small improvement over the control group (depending on the size of the increase in percentages). Regardless of the sample size, a statistically significant result means there is a meaningful…arrow_forward
- A study was made of 1,057 cases of poisoning in children treated as inpatients at Milwaukee Children's Hospital from 1962 through 1968. Data on date of occurrence, age and sex of the child, and type of agent involved were recorded and analyzed by standard statistical methods. Poisoning was due to ingestion of aspirin in 35 per cent of the children studied and to the ingestion of hydrocarbon distillates in 18 per cent. A statistically significant male dominance was found for ingestion of hydrocarbons; age-specific peaks were found for some categories. Trends as to the relative and absolute frequencies of each specific poison from one year to the next were noted; possible reasons for increasing or decreasing trends are discussed. Is this study descriptive or inferential? Explain your answer. What are the variables used in the study? In your opinion, what level of measurement was used to obtain the data from the variables? Does the article define the population? If so, how is it…arrow_forwardDoes heavy cell phone use affect brain activity? There is some concern about possible negative effects of radiofrequency signals delivered to the brain. In a randomized matched-pairs study, 47 healthy participants had cell phones placed on the left and right ears. Brain glucose metabolism (a measure of brain activity) was measured for all participants under two conditions: with one cell phone turned on for 50 minutes (the “on” condition) and with both cell phones off (the “off” condition). The amplitude of radio frequency waves emitted by the cell phones during the “on” condition was also measured. Is this an example of “paired-samples” or “independent samples”? The investigators were interested in seeing whether average brain glucose metabolism was different based on whether the cell phones were turned on or off. State the null and alternative hypotheses for this test. Suppose that the mean of differences ? is 0.8, ignoring the unit for now, and the standard deviation of the…arrow_forwardUsing an AES analysis of 1000 randomly selected samples of commercial bronze,10.6% of the metal is Zinc. With a significance level of 0.05, test the hypothesis that the total metal concentration in all commercial bronze is greater than12.5% Zinc.arrow_forward
- Two professors at a local college developed a new teaching curriculum designed to increase students' grades in math classes. In a typical developmental math course, 54% of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 15 students enrolled, 12 completed the course with a letter grade of A, B, or C. Is the experimental course effective at the a = 0.01 level of significance? Complete parts (a) through (g). (a) State the appropriate null and alternative hypotheses. Ho: (Type integers or decimals. Do not round.) versus H,:arrow_forwardA new approach to prenatal care is proposed for pregnant women living in a rural community. The new program involves in-home visits during the course of pregnancy in addition to the usual or regularly scheduled visits. A pilot randomized trial with 15 pregnant women is designed to evaluate whether women who participate in the program deliver healthier babies than women receiving usual care. The outcome is the APGAR score measured 5 minutes after birth. Recall that APGAR scores range from O to 10 with scores of 7 or higher considered normal (healthy), 4-6 low, and 0-3 critically low. Is there statistical evidence of a difference in APGAR scores in women receiving the new and enhanced versus usual prenatal care? The most suitable statistical test to answer this research objective is a. Chi-Square Test b. Mann-Whitney U Test c. Wilcoxon Signed Ranks Test d. Kruskal-Wallis Testarrow_forwardA case−control study was performed among 145 subjects with macular degeneration and 34 controls, all of whom were 70- to 79-year-old women. A genetic risk score was developed to help differentiate the cases from the controls. The risk score was categorized into six groups (1, 2, 3, 4, 5, 6), with 6 being the highest risk and 1 being the lowest risk.The data in Table 10.48 were obtained relating the risk score to case/control status. taBlE 10.48 risk score cases controls 1 3 11 2 7 3 3 6 6 4 10 8 5 11 2 6 108 4 total 145 34 10.139 What test can be performed to study the asso- ciation between case/control status and risk score? Spe- cifically, we are interested in testing whether cases tend to have consistently higher risk scores or consistently lower risk scores than controls.arrow_forward
- Two professors at a local college developed a new teaching curriculum designed to increase students' grades in math classes. In a typical developmental math course, 55% of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 14 students enrolled, 11 completed the course with a letter grade of A, B, or C. Is the experimental course effective at the a= 0.01 level of significance? Complete parts (a) through (g). .... (a) State the appropriate null and alternative hypotheses. Ho: versus H: (Type integers or decimals. Do not round.)arrow_forwardTwo professors at a local college developed a new teaching curriculum designed to increase students' grades in math classes. In a typical developmental math course, 53% of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 15 students enrolled, 10 completed the course with a letter grade of A, B, or C. Is the experimental course effective at the a = 0.05 level of significance? Complete parts (a) through (g). (b) Verify that the normal model may not be used to estimate the P-value. npo (1 - Po) : (Round to one decimal place as needed.) Весause = 3.7 < 10, the normal model may not be used to approximate the P-value. (c) Explain why this is a binomial experiment. There is a fixed number of trials with two mutually exclusive outcomes. The trials are independent and the probability of success is fixed at 0.53 for each trial. (Type an integer or a decimal. Do not round.) (d) Determine the P-value using the binomial probability distribution.…arrow_forwardAn epidemiologist found five cases of “big toe cancer” in the Yukon Territory. Because there were only a few cases, the epidemiologist decided to conduct a matched case-control study to determine whether shoe size larger than 9 is a risk factor for big toe cancer. Cases were individually matched to one control for daily activity, history of athlete’s foot, and history of ingrown toenails. The following data were gathered: Shoe size > 9 Pair Case Control 1 Yes No 2 No No 3 No Yes 4 Yes Yes 5 No Yes Compute the proper measure of association. Interpret your results. If you were to investigate a rare cancer in Lynchburg, where might you look for data? What would be necessary legally and ethically to be able to utilize this data set(s)? Submit your thread by 11:59 p.m. (ET) on Thursday of Module/Week 3, and submit your replies by 11:59 p.m. (ET) on Sunday of the same module/week. 1arrow_forward
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