It was reported that some sixty-seven percent of Covid 19 infection, over one summer month in a European country, were people who were fully vaccinated. Does this mean that Covid 19 vaccine is ineffective?
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It was reported that some sixty-seven percent of Covid 19 infection, over one summer month in a European country, were people who were fully vaccinated.
Does this mean that Covid 19 vaccine is ineffective?
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- Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous six months, in a sample of 115 new car buyers, 46 have traded in their old car. To determine whether the proportion of new car buyers that trade in their old car has this is sickly significantly decreased, what is the null and alternative hypothesis?A researcher conducted a medical study to investigate whether taking a low-dose aspirin reduces the chance of developing colon cancer. As part of the study, 1,000 adult volunteers were randomly assigned to one of two groups. Half of the volunteers were assigned to the experimental group that took a low-dose aspirin each day, and the other half were assigned to the control group that took a placebo each day. At the end of six years, 15 of the people who took the low-dose aspirin had developed colon cancer and 26 of the people who took the placebo had developed colon cancer. At the significance level α = 0.05, do the data provide convincing statistical evidence that taking a low-dose aspirin each day would reduce the chance of developing colon cancer among all people similar to the volunteers?A recent study was conducted in Santa Clara County, California. Random samples of 3,330 people were tested for the antibody for the SARS-CoV-2 virus, which causes the COVID-19 disease. Fifty (50) of the 3,330 tested positive for the antibody and may have been infected with the virus. Using this data, calculate the proportion of the sample (p) that tested positive for the antibody.
- The National Institute of Mental Health published an article stating that in any two-year period, approximately 10.5percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 150 people in a certain town, eight of them suffered from depression or a depressive illness. If you were conducting a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population, what would the null and alternative hypotheses be?A researcher randomly selected a sample of n = 500 individuals from a population with µ = 120 and administered an experimental treatment to the sample. What the researcher should expect if the treatment has no significant effect?A well-known study of 22,000 male physicians was conducted to determine if taking aspirin daily reduces the chances of a heart attack. Half of the physicians were given a regular dose of aspirin while the other half was given placebos. Six years later, among those who took aspirin, 104 suffered heart attacks while among those who took placebos, 189 suffered heart attacks. Does it appear that the aspirin can reduce the number of heart attacks among the sample group that took aspirin? Use α = 0.05.
- The authors of the article "Adjuvant Radiotherapy and Chemotherapy in Node-Positive Premenopausal Women with Breast Cancer"† reported on the results of an experiment designed to compare treating cancer patients with chemotherapy only to treatment with a combination of chemotherapy and radiation. Of the 154 individuals who received the chemotherapy-only treatment, 76 survived at least 15 years, whereas 98 of the 164 patients who received the hybrid treatment survived at least that long. With p1 denoting the proportion of all such women who, when treated with just chemotherapy, survive at least 15 years and p2 denoting the analogous proportion for the hybrid treatment, p̂1 = (rounded to three decimal places) and p̂2 = (rounded to three decimal places). A confidence interval for the difference between proportions based on the traditional formula with a confidence level of approximately 99% is 0.494 − 0.598 ± (2.58) (0.494)(0.506) 154 + (0.598)(0.402) 164…A poll of 700 frequent and occasional fliers found that 450 respondents favored a ban on cellphones in flight, even if technology permits it. At α = .05, can we conclude that morethan half the sampled population supports a ban?A survey of 90 recently delivered women on the rolls of a county welfare department revealed that 27 had a history of intrapartum or postpartum infection. Can we conclude that the population proportion with a history of intrapartum or postpartum infection is significantly less than or equal to 0.25? Let alpha = 0.05.
- A survey of 90 recently delivered women on the rolls of a county welfare department revealed that 27 had a history of intrapartum or postpartum infection. Can we conclude that the population proportion with a history of intrapartum or postpartum infection is less than or equal to 0.25. Let alpha = 0.05A consumer group is investigating a producer of diet meals to examine if its prepackaged meals actually contain the advertised 6 ounces of protein in each package. Based on the following data, is there any evidence that the meals do not contain the advertised amount of protein? Run the appropriate test at a 5% level ofA market researcher claims that the purchases for a particular gift item are men, 50 percent; women, 40 percent; and children under 18, 10 percent. The researcher takes a sample in a very large department store and finds in a given week that 43 items were purchased by men, 33 by women, and 4 by children under 18. Does the evidence support the claim of the market researcher? Use alpha = 0.05