Asked by triciabeesley1011 Image transcription text Construct a 90% confidence interval of the population proportion using the given information. x = 45, n = 150 Click here to view the table of critical values. The lower bound is i
Table of critical values X The upper bound is (Round to three decimal places as needed.) Level of Confidence, Area in Each Tail, NIR Critical Value, z (1 - a) . 100% 90% 0.05 1.645 95% 0.025 1.96 99% 0.005 2.575 Print Done Enter your answer in each of the answer boxes. Answer & Explanation Solved by verified expert Rated Helpful Answered by louiesergel ur laoreet. Nam ria mole Fusce dui lectusm risu congue vel laoreet ac, dictum vitae odio. Donec aliquet. Lorem ipsum dolor sit amet, consectetur adipiscing elit. Nam lacinia pulvinar tortor nec facilisis. Pellentesque dapibus efficitur laoreet. Nam risus ante, dapibus a molestie c Unlock full access to Course Hero Explore over 16 million step-by-step answers from our library Subscribe to view answer Step-by-step explanation  a. Fusce dui lectus, congue vel laoreet ac, dictum vitae odio. Donec aliquet. Lorem ipsum dolor sit amet, consectetur adipiscing elit. Nam lacinia pulvinar tortor nec facilisis. Pellentesque dapibus efficitur laoreet. Nam risus ante, dapibus a molestie consequat, ul png Student review 100% (1 rating)
Terms in this set (19)A ________ ________ is the value of a statistic that estimates the value of a parameter. point estimate The _______ represents the expected proportion of intervals that will contain the parameter if a large number of different samples of size n is obtained. It is denoted _______. level of confidence, (1-a)*100% Compute the critical value zα/2=1.28 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. The point estimate of the population proportion is 0.38. The margin of error is 0.259. The number of individuals in the sample with the specified characteristic is 456. Construct a 95% confidence interval of the population proportion using the given information. The lower bound is 0.643 The upper bound is 0.757 (a) We are 95% confident 66% of adults in the country during the period of economic uncertainty felt wages paid to workers in industry were too low. The interpretation is flawed. The interpretation provides no interval about the population proportion. (b) We are 91% to 99% confident 66% of adults in the country during the period of economic uncertainty felt wages paid to workers in industry were too low. The interpretation is flawed. The interpretation indicates that the level of confidence is varying. (c) We are 95% The interpretation is reasonable. (d) In 95% of samples of adults in the country during the period of economic uncertainty, the proportion who believed wages paid to workers in industry were too low is between 0.62 and 0.70. The interpretation is flawed. The interpretation suggests that this interval sets the standard for all the other intervals, which is not true. A survey of 2322 adults in a certain large country aged 18 and older conducted by a reputable polling organization found that 422 have donated blood in the past two years. Complete parts (a) through (c) below. (a) Obtain a point estimate for the population proportion of adults in the country aged 18 and older who have donated blood in the past two years. (b) Verify that the requirements for constructing a confidence interval about p are satisfied. (c) Construct and interpret a 90% confidence interval for the population proportion of adults in the country who have donated blood in the past two years. Select the correct choice
below and fill in any answer boxes within your choice. a) p-head = 0.182 b) The sample can be assumed to be a simple random sample, the value of np(1-p) is 345.69, which is greater than or equal to 10, and the sample size can be assumed to be less than or equal to 5% of the population size. (Round to three decimal places as needed.) c) We are 90% confident the proportion of adults in the country aged 18 and older who have donated blood in the past two years is between 0.169 (upper bound)and 0.195(lower bound). 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 0.03 with 95% confidence if a) n= 1006 Explain what if 100 different confidence intervals are constructed, each based on a different sample of size n from the same population, then we expect By how many times does the sample size have to be increased to decrease the margin of error by a factor of The sample size must be increased by a factor of 8181 to decrease the margin of error by a factor of 1/9. Increasing the sample size by a factor M results in the margin of error decreasing by a factor of Two
researchers, Jaime and Mariya, are each constructing confidence intervals for the proportion of a population who is left-handed. They find the point estimate is Mariya's Determine whether the following statement is true or false. This statement is false Fill in the blank in the statement below. robust, The data from a simple random sample with 25 observations was used to construct the plots given below. The normal probability plot that was constructed has a correlation
coefficient of 0.945. The normal probability plot does not suggest the data could come from a normal population because 0.945less than<0.959 and the boxplot shows outliers, so a t-interval could not be constructed. Determine the point estimate of the population mean and margin of
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How do you construct a 95 confidence interval for the population proportion?To calculate the confidence interval, we must find p′, q′. p′ = 0.842 is the sample proportion; this is the point estimate of the population proportion. Since the requested confidence level is CL = 0.95, then α = 1 – CL = 1 – 0.95 = 0.05 ( α 2 ) ( α 2 ) = 0.025.
What is the critical value that should be used to construct a 90% confidence interval for a population proportion round to three places?The area is at z=1.645. This is your critical value for a confidence level of 90%.
What is the 99% confidence interval for the population proportion?Confidence Intervals for a proportion:. |
Construct a 90% confidence interval of the population proportion using the given information.
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