Does this survey indicate that opposition to animal cloning has declined since 1997? Use 0.05 significance level.
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HYPTHESIS TESTING
Dolly the sheep, the worlds first mammal to be cloned, was introduced to the public in 1997. In a pew research poll taken soon after Dollys debut, 63% of Americans were opposed to the cloning of animals. In a pew research poll taken 20 years after Dollys, 60% of thoes surveyed were opposed to animal cloning. Assume this was based on a random sample of 1100 Americans.
Does this survey indicate that opposition to animal cloning has declined since 1997? Use 0.05 significance level.
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- An anger-management courseclaims that, after completing its seminar, participants will lose their tempers less often. Always a skeptic, you decide to test this claim. A random sample of 12 seminar participants is chosen, and these participants are asked to record the number of times that they lost their tempers in the two weeks prior to the course. After the course is over, the same participants are asked to record the number of times that they lost their tempers in the next two weeks. The following table lists the results of the survey. Using these data, test the claim at the 0.01 level of significance assuming that the population distribution of the paired differences is approximately normal. Let d= (participants after completing the anger-management course) −(participants before completing the anger-management course). Number of Times Temper Was Lost during a Two-Week Period Before 10 6 5 8 7 7 10 6 3 10 3 8 After 6 7 4 5 4 7 8 6 4 9 3 7 Step 2 of 3 : Compute the…The National Academy of Science reported that 31 % of research in mathematics is published by US authors. The mathematics chairperson of a prestigious university wishes to test the claim that this percentage is no longer 31 %. He has no indication of whether the percentage has increased or decreased since that time. He surveys a simple random sample of 188 recent articles published by reputable mathematics research journals and finds that 74 of these articles have US authors. Does this evidence support the mathematics chairperson's claim that the percentage is no longer 31 % ? Use a 0.02 level of significance. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Answer Ho Ha P p = 0.31 000 #^ O # O > 0.31 Keypad Keyboard Shortcuts TablesThe University is considering changing the email system that they currently use. Since there are substantial learning costs associated with any new software, the University only wants to change to the new system if it is very confident that there is at least a 20% difference in the proportion of faculty and staff who say they like the new system. In a sample of 140 users of the current system, the University finds that 75 say they like the current system. In another sample of 85 experimental users of the “new” system, the University finds that 72 of them like the new system. When testing the hypothesis (using a 5% level of significance) that there is at least a 20% difference in the proportion of users who like the two systems, what is the null and alternative hypothesis?
- A local school board wants to estimate the difference in the proportion of households with school-aged children that would support starting the school year a week earlier, and the proportion of households without school-aged children that would support starting the school year a week earlier. They survey a random sample of 40 households with school-aged children about whether they would support starting the school year a week earlier, and 30 households respond yes. They survey a random sample of 45 households that do not have school-aged children, and 25 respond yes. Assuming the conditions for inference have been met, what is the 90% confidence interval for the difference in proportions of households that would support starting the school year a week earlier?A local school board believes there is a difference in the proportion of households with school-aged children that would support starting the school year a week earlier, and the proportion of households without school-aged children that would support starting the school year a week earlier. They survey a random sample of 40 households with school-aged children about whether they would support starting the school year a week earlier, and 38 households respond yes. They survey a random sample of 45 households that do not have school-aged children, and 25 respond yes. Let ps = the true proportion of households with school-aged children that would support starting the school year a week early and pw = the true proportion of households without school-aged children that would support starting the school year a week earlier. Which of the following are the correct hypotheses to test the school board's claim? O H.: Ps-Pw = 0; Hai Ps-Pw>0 O Ho: Ps-Pw=0; Hai Ps-Pw<0 O Ho: Ps-Pw=0; Ho: Ps-Pw 0 O…In the year 2000, the state of Indiana began a $40-million renovation of its state fairgrounds, which included the building of a miniature golf course and a state- of-the-art livestock building. Now, Indiana officials are interested in learning what sorts of people are visiting the new attractions. In a survey done at this year's state fair, it was found that, among a random sample of 80 couples at the fair with their children, 54 had visited the new miniature golf course, and among an independently chosen, random sample of 65 couples at the fair on a date (without children), 31 had visited the miniature golf course. Based on these samples, can we conclude, at the 0.05 level of significance, that the proportion p, of all couples attending the fair with their children who visited the miniature golf course is different from the proportion p, of all couples attending the fair on a date who visited the miniature golf course? Perform a two-tailed test. Then complete the parts below. Carry…
- Any athlete who fails the Enormous State University's women's soccer fitness test is automatically dropped from the team. Last year, Mona Header failed the test, but claimed that this was due to the early hour. (The fitness test is traditionally given at 5 AM on a Sunday morning.) In fact, a study by the ESU Physical Education Department suggested that 53% of athletes fit enough to play on the team would fail the soccer test, although no unfit athlete could possibly pass the test. It also estimated that 42% of the athletes who take the test are fit enough to play soccer. Assuming these estimates are correct, what is the probability that Mona was justifiably dropped? (Round your answer to four decimal places.)There is popular belief that herbal remedies such as Ginkgo Biloba and Ginseng may improve learning and memory in healthy adults. In a new study, a researcher obtains a sample of n = 36 participants and has each person take the herbal supplements every day for 90 days. The researcher wants to assess whether memory scores will increase for those taking the herbal remedies. At the end of 90 days, each person takes a standardized memory test. For the general population, scores from the test are normally distributed with a mean of μ = 80 and a standard deviation of σx = 18. The sample of research participants had an average of 84. a. Identify the independent variable. b. Identify the dependent variablA CBS News poll involved a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing ("getting better," "getting worse" or "about the same"). The results are shown in the table below. better same worse Republican 38 104 44 Democrat 12 87 137 none 21 90 118 If we randomly select one of the adults who participated in this study, compute the following probabilities. (round to four decimal places) a. PP (affiliated with neither party) == b. PP (better) == c. PP (better|affiliated with neither party) == d. PP (affiliated with neither party|better) == e. PP (affiliated with neither party and better) ==
- Matrimony Monthly is a top-selling magazine that provides information for couples thinking about marriage. Over the years, writers for the magazine have researched just about everything there is to research about weddings. The popular conception at the magazine has been that roughly 50% of first weddings take place indoors in a church, 30% take place indoors in a building other than a church, and 20% take place outdoors. This past week, the magazine examined a random sample of 280 first weddings and found the distribution given by the first row of numbers in the table below. (This row contains the frequencies observed in their sample of 280.) The second row of numbers gives the frequencies expected under the hypothesis that the popular conception at the magazine is correct. The bottom row of numbers contains the following value for each of the wedding location categories. −fOfE2 fE = −Observed frequencyExpected frequency2 Expected…A local school board believes there is a difference in the proportion of households with school-aged children that would support starting the school year a week earlier, and the proportion of households without school-aged children that would support starting the school year a week earlier. They survey a random sample of 40 households with school-aged children about whether they would support starting the school year a week earlier, and 38 households respond yes. They survey a random sample of 45 households that do not have school-aged children, and 35 respond yes. Let ps= the true proportion of households with school-aged children that would support starting the school year a week early and pw= the true proportion of households without school-aged children that would support starting the school year a week earlier. Which of the following is a correct statement about the conditions for this test? The random condition is not met. The 10% condition is not met. The Large Counts…A local school board wants to estimate the difference in the proportion of households with school-aged children that would support starting the school year a week earlier, and the proportion of households without school-aged children that would support starting the school year a week earlier. They survey a random sample of 40 households with school-aged children about whether they would support starting the school year a week earlier, and 38 households respond yes. They survey a random sample of 45 households that do not have school-aged children, and 25 respond yes. The school board plans to construct a 90% confidence interval for the difference in proportions of households who would support starting the school year a week earlier. Are the conditions for inference met? A) Yes, the conditions for inference are met. B) No, the 10% condition is not met. C) No, the randomness condition is not met. D) No, the Large Counts Condition is not met.
