Lombard Electronics Company has just installed a new machine that makes a part that is used in clocks. The company wants to estimate the proportion of these parts produced by this machine that are defective. The company manager wants this estimate to be within .02 of the population proportion for a 95% confidence level. What is the most conservative es- timate of the sample size that will limit the margin of error to within .02 of the population proportion?
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- What is meant by the sample space of an experiment?The Labor Bureau wants to estimate, at a 90% confidence level, the proportion of all households that receive welfare. The most conservative estimate of the sample size that would limit the margin of error to be within 0.030 of the population proportion is:The government wants to carry out similar survey next year. If the error of a point estimate of the mean is not more than $1.5, use the 97% confidence level to determine the sample size required to achieve this error.
- A company wants to estimate, at a 95% confidence level, the proportion of all families who own its product. The most conservative estimate of the sample size that would limit the margin of error to be within 0.046 of the population proportion is: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: _________For a test market, find the sample size needed to estimate the true proportion of consumers satisfied with a certain new product within 0.04 at the 90% confidence level. Assume that you have no strong feeling about what the proportion is.
- A big household appliances manufacturer would like to conduct a survey to find the proportion p of consumers who bought the brand-new novel household appliance satisfied with their purchase. How large a sample n should they take to estimate p with 2% margin of error and 90% confidence level? Because of the unprecedented novelty of the appliance no previous research can be of help here so that one has to use the conservative approach.A television sports commentator wants to estimate the proportion of Americans who follow professional football (NFL). What sample size should be obtained if he wants to be within 3 percentage points with 95% confidence? Assume he does not use any prior estimates.The state education commission wants to estimate the proportion of tenth-grade students that have reading skills at or below the eighth-grade level. How large a sample would be required to estimate the proportion of tenth graders reading at or below the eighth-grade level using 90% confidence level with a margin of error of 0.05 if: a)p = 0.10 from an earlier study b)no estimate of p is available
- .For a test market, find the sample size needed to estimate the true proportion of consumers satisfied with a certain new product within ±0.04 at the 90 percent confidence level, assume you have no strong feeling about what the proportion is.Many television viewers express doubts about the validity of certain commercials. In an attempt toanswer their critics, Timex Group USA wishes to estimate the proportion of consumers who believewhat is shown in Timex television commercials. Let p represent the true proportion of consumers whobelieve what is shown in Timex television commercials. What is the smallest number of consumers thatTimex can survey to guarantee a margin of error of 0.05 or less at a 99% confidence level?A political candidate has asked you to conduct a poll to determine what percentage of people support her.If the candidate only wants a 10% margin of error at a 90% confidence level, what is the sample size that is needed?Give your answer as a whole number.