10. A quantity is measured using two different methods with results: x1 = (21.500 ± 0.078) and x2 (22.13 + 0.31). Use the consistency test and find if the results are in agreement within a 95% confidence level.
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- One hundred fifty high school students were surveyed, and it was found that 68% of them are using the internet for a minimum of 3 to 5 hours a day. a. If we want a margin of error of 3%, how many students do we need to construct a 95% confidence interval for the proportion of the students who are using the internet for a minimum of 3 to 5 hours a day? b.With 95% confidence interval, what interpretation can we make regarding the proportion of the students who are using the internet for a minimum of 3 to 5 hours a day?1. Does the data provide convincing evidence that the true mean body temperature in all healthy 18-40 year-olds is not 98.6 F? 2. A 95% confidence interval for the population mean is 98.123 F to 98.377 F. Explain how the confidence interval is consistent with, but gives more information than, the significance test in the previous question.A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What sample size should be obtained if the researcher wishes to estimate within 0.03 with 99% confidence if He uses a 2007 estimate of 0.69 obtained from US Census Bureau? He does not use any prior estimate? Let the confidence level be 90%, and recalculate the needed sample size in both a) and b) above and comment on your conclusion.
- Suppose a marketing company randomly surveyed 404 households and found that in 214 of them, the woman made the majority of the purchasing decisions. Construct a 90% confidence interval for the population proportion of households where the women make the majority of the purchasing decisions.p'=α2=zα2=Margin of Error: E=We are 90% confident that the proportion of households in the population where women make the majority of purchasing decisions is between___ and ___.Based on sample data, the 95% confidence interval for the population mean is about $150 to $250. If the α = 0.05 level of significance was used in testing Ho: µ = $260 versus H1: µ ≠ $260, the null hypothesis. Would the null hypothesis be rejected or not?3.Michael wants to make a confidence interval estimate for the proportion of community members in favor of a tax increase for more local school funding. If he wants the margin of error to be no more than 0.025 at a 90% confidence level, a)What is the required sample size required to obtain the desired margin of error
- A health planning agency wishes to know, for a certain geographic region, what proportion of patients admitted to hospitals for the treatment of trauma die in the hospital. A 95% confidence interval is desired, the width of the interval must be .06, and the population proportion, from other evidence, is estimated to be 0.20. How large a sample is needed?A sociologist is interested in surveying workers in computer-related jobs to estimate the proportion of such workers who have changed jobs within the past year. a) In the absence of preliminary data, how large a sample must be taken to ensure that a 95% confidence interval will specify the proportion to within ±0.05? b) In a sample of 100 workers, 20 of them had changed jobs within the past year. Find a 95% confidence interval for the proportion of workers who have changed jobs within the past year. c) Based on the data in part (b), estimate the sample size needed so that the 95% confidence interval will specify the proportion to within ±0.05.A business student is interested in estimating the 99% confidence interval for the proportion of students who bring laptops to campus. He wishes a precise estimate and is willing to draw a large sample that will keep the sample proportion within four percentage points of the population proportion. What is the minimum sample size required by this student, given that no prior estimate of the population proportion is available?
- An educator wants to construct a 99% confidence interval for the proportion of elementary school children in Michigan who are proficient in reading. Estimate the sample size needed to conduct this survey and assume that there there is no information available to be used from a previous study. Use a margin of error of 3%. What is the sample size: _________1) A consumer magazine polls cell-phone-users to see if they are happy with their phones and would purchase the same model again. They randomly selected cell-phone-users and found the following: 429 of 550 owners of iPhones would purchase their phone again, and 324 of 450 owners of Androids would purchase the same phone again. a) Check the assumptions for comparing proportions . b) Find a 95% confidence interval (Two-Proportion z-Interval) for the difference in the proportions. c) Interpret your interval in the context of the problem. What does the confidence interval say about the difference in the satisfaction of the two types of owners? Hint: pay attention to the signs on the LB & UB .