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2. Compute the critical value z a/2 that corresponds to a 82% level of confidenc

ID: 3312911 • Letter: 2

Question

2. Compute the critical value z a/2 that corresponds to a 82% level of confidence.

z a/2=___?___ (Round to two decimal places as needed.)

3. Determine the point estimate of the population proportion, the margin of error for the following confidence interval, and the number of individuals in the sample with the specified characteristic, x, for the sample size provided.

Lower bound= 0.474, upper bound = 0.916, n = 1000

The point estimate of the population proportion is ___?__ (Round to the nearest thousandth as needed.)

4. Construct a confidence interval of the population proportion at the given level of confidence.

X= 175, n=250, 90% confidence

The 90% confidence interval is (__?_, ___?_) (Use ascending order. Round to three decimal places as needed.)

7. In a poll, 37% of the people polled answered yes to the question "Are you in favor of the death penalty for a person convicted of murder?" The margin of error in the poll was 5%, and the estimate was made with 95% confidence. At least how many people were surveyed?

The minimum number of surveyed people was __?__ (Round up to the nearest integer.)

6. A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.05 with 95% confidence if

(a) she uses a previous estimate of 0.32?

(b) she does not use any prior estimates?

(a) n= ___?__ (Round up to the nearest integer.)

Explanation / Answer

2) Calculate the critical value z a/2

100% - 82%=18%

18%/2=9%

Z=ivnNorm(0.09) = 1.341

Therefore, the critical value is 1.341