In a randomized controlled trial, insecticide-treated bednets were tested as a way to reduce malaria. Among 325 infants using bednets, 16 developed malaria. Among 295 infants not using bednets, 33 developed malaria. Use a 0.01 significance level 1 test the claim that the incidence of malaria is lower for infants using bednets. a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval. c. Based on the results, do the bednets appear to be effective?
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- What is meant by the sample space of an experiment?During a flu vaccine shortage in the United States, less than a majority of people were able to receive the vaccine. The results of a survey given to a random sample of 2,350 vaccine-eligible people indicated that 978 of the 2,350 people had received flu vaccine. a) Construct and interpret a 95 percent confidence interval for the proportion of vaccine-eligible people who had received flu vaccine.A telephone company has the business objective of wanting to estimate the proportion of households that would purchase an additional telephone line if it were made available at a reduced installation cost. Data is collected from a random sample of 500 households. The results indicate that 135 of the households would purchase the additional telephone line at a reduced installation cost. - construct a ninety nine percent confidence interval estimate for the population proportion of households that would purchase the additional telephone line.
- After reporting the results from a formal hypothesis test, it is often likely that statisticians will report a confidence interval in order to indicate that a null value is present, indicating a significant response . True FalseA marketing study with a random sample of 400 results in 160 subjects reacting positively to the proposed product. Determine the 95% confidence interval for the population proportion.The production manager in an automobile plant is concerned with the number of cars that do not pass the final quality control inspection. In the last two hours he noted that in a sample of 120 cars only 92 were acceptable. The lower and upper limit of a 95% confidence interval for the true percentage of all cars that would not pass the final quality control inspection would be:
- To assess the effectiveness of a kindergarten-readiness program, 15 children from a random sample were each given a diagnostic assessment before beginning the program and a follow-up assessment after completing the program. For each child, the difference in the score points between the two assessments was calculated and used to create the 95 percent confidence interval (20.1,23.9)(20.1,23.9). Assuming all conditions for inference are met, which of the following is a correct interpretation of the interval? A) For all children in the program, 95 percent of the children will have a mean difference in scores of between 20.1 points and 23.9 points. B) There is a 0.95 probability that the mean difference in scores for all children in the sample is between 20.1 points and 23.9 points. C) There is a 0.95 probability that the mean difference in scores for the children in the program is between 20.1 points and 23.9 points. D) We are 95 percent confident that the mean difference in scores for…1. A recent survey showed that from a sample of 500 packages delivered by a Postal Service, 480were delivered on time. a) Construct a 95% confidence interval for the proportion of all packages that are deliveredon time by the Postal Service.In a study designed to assess the side effects of two drugs, 50 animals were given drug A, and 50 animals were given Drug B. Of the 50 receiving Drug A, 11 showed undesirable side effects, while 8 of those receiving Drug B reacted similarly. Find the 98% confidence interval for the true difference in population proportions, pˆ A − pˆ B.
- An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential shortage of vaccines for the area. She will need to provide a recommendation for how to allocate the vaccines appropriately across the city. She takes a simple random sample of 339 people living in East Vancouver and finds that 40 have recently had the flu. For each of the following statements, specify whether the statement is a correct interpretation of the 95% confidence interval for the true proportion of East Vancouver residents who have recently had the flu. A. 11.80% (40/339) of East Vancouver residents have recently had the flu. ? true false B. There is a 95% probability that the true proportion of East Vancouver residents who have recently had the flu equals 40/339. ? true false C. If another random sample of 339 East Vancouver residents is drawn, there is a 95% probability that the sample proportion of East Vancouver residents who have recently had the flu equals 40/339. ?…A computer software magazine compares the rates of malware infection for computers protected by security software A with the rates of infection for computers protected by security software B.They found that out of 787 computers with security software A, 72 became infected with some type of malware after 1000 hours of internet interaction. For security software B, 37 out of 834 computers became infected after 1000 hours of internet interaction.Assuming these to be random samples of infection rates for the two security software packages, construct a 98% confidence interval for the difference between the proportions of infection for the two types of security software packages. Interpret the results. Does the confidence interval contradict the claim that the proportion of infections is the same for the two types of security software?A research group studying cell phone habits asked the question “Do you ever use your cell phone to make a payment at a convenience store?” to people selected from two random samples of cell phone users. One sample consisted of older adults, ages 35 years and older, and the other sample consisted of younger adults, ages 18 years to 34 years. The proportion of people who answered yes in each sample was used to create a 95 percent confidence interval of (0.097,0.125)(0.097,0.125) to estimate the difference (younger minus older) between the population proportions of people who would answer yes to the question. Which of the following is the best description of what is meant by 95 percent confidence? In repeated random sampling with the same sample size, approximately 95% of the sample proportions from the younger group will be between 0.097 and 0.125 greater than the sample proportion from the older group. A In repeated random sampling with the same sample size,…