Use the "plus four" method to estimate the 95% confidence interval for the population proportion of single-floor homes in the area. Remember, you must calculate p', q', and Zo 025 in order to determine your error bound of the population proportion (EBP). Write a sentence that interprets the estimate in the context of the situation in the problem. nclude the confidence level and confidence interval. (Use the statement below as a template.) "We believe, at the % confidence level, that the true population proportion of single-floor homes in Winston-Salem lies between % and %."

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Use the confidence interval to find the estimated margin of error. Then find the sample mean. A biologist reports a confidence interval of (2.8,4.6) when estimating the mean height (in centimeters) of a sample of seedlings. The estimated margin of error is The sample mean is

Use the confidence interval to find the estimated margin of error. Then find the sample mean.   A biologist reports a confidence interval of (4.0,4.6) when estimating the mean height​ (in centimeters) of a sample of seedlings. The estimated margin of error is   The sample mean is

The mean tar content of a simple random sample of 25 unfiltered​ king-size cigarettes is 21.4 ​mg, with a standard deviation of 4 mg. The mean tar content of a simple random sample of 25 filtered​ 100-mm cigarettes is 13.1 mg with a standard deviation of 3.8 mg. The accompanying table shows the data. Assume that the two samples are independent simple random samples selected from normally distributed​ populations, and do not assume that the population standard deviations are equal. Let population 1 be unfiltered​ king-size cigarettes. Complete parts​ (a) through​ (c) below.  a. Use a 0.10 significance level to test the claim that unfiltered​ king-size cigarettes have a mean tar content greater than that of filtered​ 100-mm cigarettes. What does the result suggest about the effectiveness of cigarette​ filters?   Identify the null and alternative hypotheses. The test statistic is?  The​ P-value is?    b. Construct an 80​% confidence interval estimate of the difference between the mean…