A survey organization is going to take a simple random sample of ? voters from among all the voters in a state, to construct a 99% confidence interval for the proportion of voters who favor a proposition. Find an ? such that the total width of the confidence interval (left end to right end) will be no more than 0.06. Remember that you can bound the variance of an indicator.
The margin of error we desire is ME = 0.06, and for 99%
confidence, we use Z0.005 = 2.58 (well know value using Z table).
Since we have no prior knowledge about the proportion p, we use the
conservative estimate of
= 0.5. We have:




We need to take n = 462 such that the total width of the confidence interval (left end to right end) will be no more than 0.06.
A survey organization is going to take a simple random sample of ? voters from among...
There are 20,000 eligible voters in York County, South Carolina. A random sample of 500 York County voters revealed 350 plan to vote to return Louella Miller to the state senate. a. Construct a 99% confidence interval for the proportion of voters in the county who plan to vote for Ms. Miller. (Round your answers to 3 decimal places) Confidence interval for the proportion is.............. and ...................
1. In a random sample of 400 eligible voters interviewed in a large county, 228 objected to the use of public funds for the construction of a new professional football stadium. Construct a 95% confidence interval for the corresponding proportion of eligible voters in the whole county 2. With reference to the previous problem, what can we say with 99% confidence about the maximum error if- = is used as an estimate of the proportion of all eligible voters 7...
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O A simple random sample of sirena 400 Individuals who are currently employed is asked by wow tome once per week of the 2002 Construct a 99% confidence interval for the population proportion of employed individuals who wok home that one per The lower bound is found to three decimal places as needed) The upper bound is Round to three decimal places as needed) A simple random sample of size 400 individuals who are current employed is asked they work...
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A survey of a simple random sample of 140 dieters revealed that the numbers of times they “cheated” on their diets had a mean of 7.0 times per week. Construct and interpret a 99% confidence interval for the mean number of times dieters “cheat” on their diets each week. Assume that the population standard deviation is 1.5 times per week.
A) A certain region would like to estimate the proportion of voters who intend to participate in upcoming elections. A pilot sample of 25 voters found that 17 of them intended to vote in the election. Determine the additional number of voters that need to be sampled to construct a 95% interval with a margin of error equal to 0.06 to estimate the proportion. The region should sample ____ additional voters. B) Determine the sample size needed to construct a...
A simple random sample of size n is drawn from a population that is known to be normally distributed. The sample variance, s', is determined to be 13.2. Complete parts (a) through (c). (a) Construct a 90% confidence interval for o2 if the sample size, n, is 20. The lower bound is 8.32 . (Round to two decimal places as needed.) The upper bound is 24.79. (Round to two decimal places as needed.) (b) Construct a 90% confidence interval for...
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