A random sample of 200 married men, all retired, were classified according to education and number of children. Number of Children Education 0-1 2-3 Over 3 Elementary Secondary College 14 37 32 17 19 42 12 17 10
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- The Pge marker in Drosphilia population segregates on the X chromosome. A sample of 2082 flies yielded 967 females and 667 males with the Pge maerker (Pge +) and 102 females and 346 males lacking the marker (Pge-). Using the average allele frequencies in the two sexes, calculate the expected numbers for the phenotypic classes and determine if the population is in Hardy Weinberg Euilibrium using a chi squared test (Remeber that df=1 for X linked genes).A farming cooperative in Capetown buys wheat seeds for its farmer members from seed merchants. A particular seed merchant claims that their wheat seeds have at least an 80% germination rate. Before the farming cooperative will buy from this seed merchant, they want to verify this claim. A random sample of 320 wheat seeds supplied by this seed merchant was tested, and it was found that only 230 seeds germinated. Is there sufficient statistical evidence at the 3% significance level to justify the purchase of wheat seeds from this seed merchant? Use the p-value approach to conduct a hypothesis test for a single proportion, and report the findings to the Capetown farming cooperative.A researcher selected a sample of 268 former student athletes from a list of graduates of a large university. A total of 14% of the sample of athletes had earned graduate degrees as compared to 17% of all graduates. Is the difference statistically significant? Use α=.01. Be sure to use the five-step model in conducting the hypothesis test.
- A 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, 114responded 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 α=0.05level of significance. Test statistic____? Pvalue_______?Defective Pacemakers Among 8834 cases of heart pacemaker malfunctions, 504 were found to be caused by firmware, which is software programmed into the device (based on data from “Pacemaker and ICD Generator Malfunctions,” by Maisel et al., Journal of the American Medical Association, Vol. 295, No. 16). If the firmware is tested in three different pacemakers randomly selected from this batch of 8834 and the entire batch is accepted if there are no failures, what is the probability that the firmware in the entire batch will be accepted? Is this procedure likely to result in the entire batch being accepted?A simple random sample of front-seat occupants involved in car crashes is obtained. Among 28242824 occupants not wearing seat belts, 3939 were killed. Among 76977697 occupants wearing seat belts, 1717 were killed. Use a 0.050.05 significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of occupants not wearing seat belts and the second sample to be the sample of occupants wearing seat belts. What are the null and alternative hypotheses for the hypothesis test? A. Upper H 0H0: p 1p1equals=p 2p2 Upper H 1H1: p 1p1less than<p 2p2 B. Upper H 0H0: p 1p1not equals≠p 2p2 Upper H 1H1: p 1p1equals=p 2p2 C. Upper H 0H0: p 1p1equals=p 2p2 Upper H 1H1: p 1p1greater than>p 2p2 D. Upper H 0H0: p 1p1equals=p 2p2 Upper H 1H1: p 1p1not equals≠p 2p2 E. Upper H 0H0: p…
- A researcher has observed 500 vehicles at a stop in a suburban neighborhood and recorded the type of vehicle (sedan, hatchback, bakkie) and driver behavior ar the stop sign (complete stop, near stop, "ran" tha stop sign). At the 0.05 level of significance, could there be some relationship between driver behavior and the type of vehicle being driven? Define the null hypothesis and the alternative hypothesis.In 2016, the US Department of Agriculture established a “maximum acceptable” salmonella prevalence of 15.4 percent for chicken parts sampled at the end of a slaughterhouse’s kill line. 54 of the 154 largest chicken-slaughter facilities in the US failed to meet this standard in 2018. Assume that these results are representative for all large chicken-slaughter facilities. Suppose that in a random sample of 60 chicken parts from the large ACME chicken-slaughter facility (which produces 1,000,000 chicken parts per year), 45 chicken parts test negative for salmonella. c) Estimate the number of chicken parts that are needed for a follow-up study with 90% power to test thenull hypothesis that the prevalence of salmonella among chicken parts at the ACME facility is equal to the maximum acceptable value.In 2016, the US Department of Agriculture established a “maximum acceptable” salmonella prevalence of 15.4 percent for chicken parts sampled at the end of a slaughterhouse’s kill line. 54 of the 154 largest chicken-slaughter facilities in the US failed to meet this standard in 2018. Assume that these results are representative for all large chicken-slaughter facilities. Suppose that in a random sample of 60 chicken parts from the large ACME chicken-slaughter facility (which produces 1,000,000 chicken parts per year), 45 chicken parts test negative for salmonella. b) Estimate the number of facilities that are needed in a study to obtain 80% power to test the null hypothesis that the prevalence of failing to meet the chicken part salmonella standard among large chicken-slaughter facilities is 20%.
- In 2016, the US Department of Agriculture established a “maximum acceptable” salmonella prevalence of 15.4 percent for chicken parts sampled at the end of a slaughterhouse’s kill line. 54 of the 154 largest chicken-slaughter facilities in the US failed to meet this standard in 2018. Assume that these results are representative for all large chicken-slaughter facilities. Suppose that in a random sample of 60 chicken parts from the large ACME chicken-slaughter facility (which produces 1,000,000 chicken parts per year), 45 chicken parts test negative for salmonella. a) Test the null hypothesis that the prevalence of salmonella among ACME chicken parts is 15.4%, usingthe p-value method.From a sample of 100 each for part-time workers and full-time workers, it is found that 5 part-time workers and 15 full-time workers have filed a sick leave for at least 3 days in the past year. At significance levels of (a) 0.01 and (b) 0.05, test the hypothesis that the difference in work arrangement matters in the likelihood that the worker files a sick leave for at least 3 days. State the null and alternative hypothesis Compute the test statistic or the Z value State your conclusion at α=.05 State your conclusion at α=.01A medical researcher claims that 5% of children have asthma.In a random sample of 100 children 7.2% say they have asthma. At α=.05, evaluate the claim by: Identifying the claim and H0 and Ha, Finding the appropriate standardized test statistic, Finding the P-value or the rejection region, Deciding whether to reject or fail to reject the null hypothesis, and Interpreting the decision in the context of the original claim.