Researchers found that 12 out of 34 randomly selected residents in small retirement homes had Covid-19 vaccination. Whereas, 17 out of 24 randomly selected residents in large retirement homes had Covid-19 vaccination. At a = 0.05, test the claim that there is no difference in the proportions of Covid-19 vaccination in small and large retirement homes. State Ho and Ha
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- Suppose the probability of incorrectly transmitting a single bit is . Compute the probability of correctly receiving a -word coded message made up of -bit words.According to a recent marketing campaign, 100 drinkers of either Diet Coke or Diet Pepsi participated in a blind taste test to see which of the drinks was their favorite. In one Pepsi television commercial, an anouncer states that "in recent blind taste tests, more than one half of the surveyed preferred Diet Pepsi over Diet Coke." Suppose that out of those 100, 50 preferred Diet Pepsi. Test the hypothesis, using α=0.01 that more than half of all participants will select Diet Pepsi in a blind taste test by giving the following: (a) the test statistic (b) the critical z score The final conclusion is A. We can reject the null hypothesis that p≤0.5 and accept that p>0.5. B. There is not sufficient evidence to reject the null hypothesis that ?p≤0.5.According to a recent marketing campaign, 90 drinkers of either Diet Coke or Diet Pepsi participated in a blind taste test to see which of the drinks was their favorite. In one Pepsi television commercial, an announcer states that "in recent blind taste tests, more than one-half of the surveyed preferred Diet Pepsi over Diet Coke." Suppose that out of those 90, 49 preferred Diet Pepsi. Test the hypothesis, using α=0.01 that more than half of all participants will select Diet Pepsi in a blind taste test by giving the following:(a) the test statistic (b) the critical z score
- In a study of red/green color blindness, 700700 men and 26502650 women are randomly selected and tested. Among the men, 6363 have red/green color blindness. Among the women, 77 have red/green color blindness. Test the claim that men have a higher rate of red/green color blindness. The test statistic is Is there sufficient evidence to support the claim that men have a higher rate of red/green color blindness than women?A. No B. YesConstruct the 9999% confidence interval for the difference between the color blindness rates of men and women. <(?1−?2)<<(p1−p2)<A study showed that 65% of supermarket shoppers believe supermarket brands to be as good as national name brands. To investigate whether this result applies to its own product, the manufacturer of a national name-brand ketchup asked a sample of shoppers whether they believed that supermarket ketchup was as good as the national brand ketchup. If a sample of 100 shoppers showed 55 stating that the supermarket brand was as good as the national brand, what is the p-value?A study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands. To investigate whether this result applies to its own product, the manufacturer of a national name-brand ketchup asked a sample of shoppers whether they believed that supermarket ketchup was as good as the national brand ketchup. If a sample of 100 shoppers showed 52 stating that the supermarket brand was as good as the national brand, what is the p-value (to 4 decimals)?
- It has been found that 2 out of every 10 people who visit a local store purchasejuice. If we randomly select a sample of 13 visitors to the store, what is theprobability that: No more than two of the visitors will purchase juice? Interpret youranswer.Suppose a group of 800 smokers (who all wanted to give up smoking) were randomly assigned to receive an antidepressant drug or a placebo for six weeks. Of the 210 patients who received the antidepressant drug, 67 were not smoking one year later. Of the 590 patients who received the placebo, 58 were not smoking one year later. Given the null hypothesis Ho: (Pdrug-Pplacebo) = 0 and the alternative hypothesis Ha: ( Pdrug-Pplacebo) ≠ 0 conduct a test to see if taking an antidepressant drug can help smokers stop smoking. use a = 0.05 a) test statistic b) p- valueA research center claims that 24% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1200 adults in that country, 26% say that they would travel into space on a commercial flight if they could afford it. At α=0.01, is there enough evidence to reject the research center's claim? Identify the claim and state H0 and Ha.
- The president of a local college reported that more than 25% of the students received a scholarships. To see if this is true, the registrar selected sample of 100 students and found that 22 received scholarships. At a=0.05, test the claim that more than 25% of the students have scholarships.In a survey of recent attendees at a Wedding with no Mask or Social distance during the Covid pandemic, if a person is mildly sick, there is a 48% chance he or she has Covid-19, if a person shows no symptoms, there is a 12% chance he or she has Covid-19 and if a person is badly sick, there is a 72% chance he or she has Covid-19. Of the persons surveyed, 20% were mildly sick, 60% showed no symptoms and 20% were badly sick. What is the probability a randomly selected person has Covid-19? Given that the Person has Covid -19, What is the probability that he or she is badly sick Select one: a. 0.6000, 0.30 b. 0.0960, 0.50 c. 0.1440, 0.25 d. 0.3120, 0.4615In Cleveland, a sample of 73 mail carriers showed that 10 had been bitten by an animal during one week. In Philadelphia, in a sample of 80 mail carriers, 16 had received animal bites. WHat is the approrpiate null hypothesis for this problem?