At a recent meeting at the American College of asthma, allergy and immunology researchers reported that the allergy vaccination are effective in treating sinusitis in individual predisposed to allergies.. the researchers reported that 98% of individuals predisposed to allergies find relief from their sinusitis after allergy vaccinations. Suppose that this number is accurate and that 120 individuals predisposed to allergies are chosen at random and given allergy vaccinations.
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At a recent meeting at the American College of asthma, allergy and immunology researchers reported that the allergy vaccination are effective in treating sinusitis in individual predisposed to allergies.. the researchers reported that 98% of individuals predisposed to allergies find relief from their sinusitis after allergy vaccinations. Suppose that this number is accurate and that 120 individuals predisposed to allergies are chosen at random and given allergy vaccinations.
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- In a specific year 53-7% of men (sample 1) in the United States were married and 50.3% of women (sample 2) were married. Random samples of 300 men and 30o women found that 174 men and 138 women were married (not necessarily to each other). At the 0.01 level of significance, can it be concluded that the proportion of men who were married is greater than the proportion of women who were married? a) State the hypotheses and identify the claim with the correct hypothesis. 01. Ho:P1 s P2 Not claim H1:P1 >P2 claim 02. Ho:P1 =P2 Not claim H1:P1 #P2 claim 03. Ho:P1 2 P2 Not claim H1:P1 2 claimA company produces 1,000 blue crayons every day. A sample of 50 crayons are analyzed, and 3 of them are found to not meet the standards of the company, so they are labeled defective. A simulation is run in which 50 crayons are chosen out of 1,000 so that each crayon chosen has a 6% chance of being defective. The simulation is run 500 times, and the mean proportion of defective crayons is 0.059 with a standard deviation of 0.012. What is a good margin of error based on this simulation? Based on a population proportion estimate and margin of error, is 0.07 a plausible value for the population proportion of crayons that are defective? Explain your reasoning.Postpartum depression and anxiety (PPD), is a common medical condition affecting mothers and their families after the birth of a baby. The CDC estimated that 18% of women who have recently given birth suffer from PPD. However, this research only reflected self-reported cases. Therefore, one group dedicated to helping women and their families with PPD believes that the true percentage of women who suffer from PPD is much higher. The group conducts a simple random sample of 112 women who had given birth in the last year and discovers that 26 of them report having PPD. Based on this evidence, can the group claim that the true percentage of women who have PPD is greater than 18%? Use a 0.05 level of significance. Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below. H0: p=0.18 Ha: p⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0.18
- A case-control study is planned to investigate whether bottle-fed infants are at increased risk of death from acute respiratory infections compared breast-fed infants. The mothers of a group of cases (infants' deaths, with an underlying respiratory cause named on the death certificate) will be interviewed about the breast-feeding status of the child prior to the illness leading to death. The results will be compared to with those obtained from mothers of a group of healthy controls regarding the current breast-feeding status of their infants. It is expected that about 40% of controls will be bottle-fed, and we would like to detect a difference if bottle-feeding was associated with a two-fold increase of death (OR-2). A. How many cases and controls need to be studied to give a 90% power of achieving 5% significance level. Copy and paste/print the answer from the software. B. Repeat part (A) if the OR was three-fold increase. What do you notice about the sample size needed? ExplainIn the largest clinical trial ever conducted, 401,974 children were randomly assigned to two groups. The treatment group consisted of 201,229 children given the Salk vaccine for polio, and 33 of those children developed polio. The other 200,745 children were given a placebo, and 115 of those children developed polio. If we want to test the claim that the rate of polio is less for children given the Salk vaccine, are the requirements for the hypothesis test satisfied? Explain.You are investigating whether a new treatment for depression works better than two established treatments. You randomly assign 90 participants to one of three groups (New Treatment. Established Treatment 1, and Established Treatment 2). Because these are all new types of treatment for depression you don't have any previous research or theory on which to suggest that one treatment will be better or worse than another. After the experiment is completed you explore the mean group differences you found. In so doing you would be conducting O Tukey's post hoc tests O a correlated groups t-test O effect sizes an a priori (planned) comparison
- Researchers investigate how the presence of cell phones influence the quality of human interaction. Subjects are randomly selected from a population and divided into an experimental group that is asked to leave their phones in the front of the room and a control group that are not asked to leave their cell phones at the front of the room. Subjects are left alone for 10 minutes and then asked to take a survey designed to measure quality of interactions they had with others in the experiment. What statistical test is appropriate?A diagnostic test for disease X correctly identifies the disease 90% of the time. Flase positives occur 12%. It is estimated that 5.36% of the population suffers from disease X. Suppose the test is applied to a random individual from the population. What is the percentage chance that given a negative result, the person does not have disease X? What is the percentage chance that, the person will be misclassified?A clinical trial is conducted to compare an experimental medication to placebo to reduce the symptoms of asthma. Two hundred participants are enrolled in the study and randomized to receive either the experimental medication or placebo. The primary outcome is self-reported reduction of symptoms. Among 100 participants who receive the experimental medication, 38 report a reduction of symptoms as compared to 21 participants of 100 assigned to placebo. When you test if there is a significant difference in the proportions of participants reporting a reduction of symptoms between the experimental and placebo groups. Use α = 0.05. What should the researcher’s conclusion be for a 5% significance level? Reject H0because 2.64 ≥ 1.960. We have statistically significant evidence at α = 0.05 to show that there is a difference in the proportions of patients reporting a reduction in symptoms. We reject H0 at the 5% level because 2.64 is greater than 1.96. We do have statistically…
- Dr. Mackintosh believes a new olfactory therapy would be more successful in promoting weight loss among obese patients. His patients are first weighed and then randomly assigned to olfactory therapy, dance therapy, or a control condition. At the end of the three weeks, the amount of weight lost is recorded. The results indicate no significant difference in the amount of weight lost between the three conditions. If true differences existed between the conditions, but they were not detected, what kind of error occurred?Postpartum depression and anxiety (PPD), is a common medical condition affecting mothers and their families after the birth of a baby. The CDC estimated that 18% of women who have recently given birth suffer from PPD. However, this research only reflected self-reported cases. Therefore, one group dedicated to helping women and their families with PPD believes that the true percentage of women who suffer from PPD is much higher. The group conducts a simple random sample of 112 women who had given birth in the last year and discovers that 26 of them report having PPD. Based on this evidence, can the group claim that the true percentage of women who have PPD is greater than 18%? Use a 0.05 level of significance. Step 3 of 3 : Draw a conclusion and interpret the decision. 1. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance that the true percentage of women who have PPD is greater than 18%. 2. We fail to reject the…A clinical trial is conducted to compare an experimental medication to placebo to reduce the symptoms of asthma. Two hundred participants are enrolled in the study and randomized to receive either the experimental medication or placebo. The primary outcome is self-reported reduction of symptoms. Among 100 participants who receive the experimental medication, 38 report a reduction of symptoms as compared to 21 participants of 100 assigned to placebo. When you test if there is a significant difference in the proportions of participants reporting a reduction of symptoms between the experimental and placebo groups. Use α = 0.05. What should the researcher’s conclusion be for a 5% significance level? Reject H0because 2.64 ≥ 1.960. We have statistically significant evidence at α = 0.05 to show that there is a difference in the proportions of patients reporting a reduction in symptoms. We reject H0 at the 5% level because 2.64 is greater than 1.96. We do have statistically…