I need help solving A television sports commentator wants to estimate the proportion of citizens who "follow professional football." Complete parts (a) through (c).Click here to view the standard normal distribution table (page 1).Click here to view the standard normal distribution table (page 2).(a) What sample size should be obtained if he wants to be within 3 percentage points with 94% confidence if he uses an estimate of 48% obtained from a poll?The sample size is(Round up to the nearest integer.)(b) What sample size should be obtained if he wants to be within 3 percentage points with 94% confidence if he does not use any prior estimates?The sample size is(Round up to the nearest integer)(c) Why are the results from parts (a) and (b) so close?O A. The results are close because the confidence 94% is close to 100%.O B. The results are close because the margin of error 3% is less than 5%.O C. The results are close because 0.48(1 -0.48) = 0 2496 is very close to 0 25.

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Description: I need help solving A television sports commentator wants to estimate the proportion of citizens who "follow professional football." Complete parts (a) through (c).Click here to view the standard normal distribution table (page 1).Click here to view

At an 94% confidence level, the z value is 1.88 which can be obtained by using the standard normal table. Now, the required sample size can be calculated as: n=z2×p(1-p)E2 Given: z = 1.88 = The value at 94% confidence level E = 0.03 = 3% p = 0.48 Substitute the given values in the above-mentioned formula as follows: n=z2×p(1-p)E2=1.882·0.481-0.480.032=980.2069≃981 Hence, the required sample size is, 981When we don't have any prior information about the population proportion, we generally take it as 0.50. Now, the required sample size can be calculated as: n=z2×p(1-p)E2 Given: z = 1.88 = The value at 94% confidence level E = 0.03 = 3% p = 0.50 ( As no prior information is given) Substitute the given values in the above-mentioned formula as follows: n=z2×p(1-p)E2=1.882·0.501-0.500.032=981.7777≃982 Hence, the required sample size is, 982The correct option is C. Because, 0.48*(1-0.48) =0.5*(1-0.5) 0.2496≃0.25 Hence, results are close.

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Probability

A television sports commentator wants to estimate the proportion of citizens who "follow professional football." Complete parts (a) through (c). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What sample size should be obtained if he wants to be within 3 percentage points with 94% confidence if he uses an estimate of 48% obtain- The sample size is (Round up to the nearest integer.) (b) What sample size should be obtained if he wants to be within 3 percentage points with 94% confidence if he does not use any prior estimate The sample size is (Round up to the nearest integer.) (c) Why are the results from parts (a) and (b) so close? 1000/

A television sports commentator wants to estimate the proportion of citizens who "follow professional football." Complete parts (a) through (c). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What sample size should be obtained if he wants to be within 3 percentage points with 94% confidence if he uses an estimate of 48% obtain- The sample size is (Round up to the nearest integer.) (b) What sample size should be obtained if he wants to be within 3 percentage points with 94% confidence if he does not use any prior estimate The sample size is (Round up to the nearest integer.) (c) Why are the results from parts (a) and (b) so close? 1000/

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.

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I need help solving

A television sports commentator wants to estimate the proportion of citizens who "follow professional football." Complete parts (a) through (c).
Click here to view the standard normal distribution table (page 1).
Click here to view the standard normal distribution table (page 2).
(a) What sample size should be obtained if he wants to be within 3 percentage points with 94% confidence if he uses an estimate of 48% obtained from a poll?
The sample size is
(Round up to the nearest integer.)
(b) What sample size should be obtained if he wants to be within 3 percentage points with 94% confidence if he does not use any prior estimates?
The sample size is
(Round up to the nearest integer)
(c) Why are the results from parts (a) and (b) so close?
O A. The results are close because the confidence 94% is close to 100%.
O B. The results are close because the margin of error 3% is less than 5%.
O C. The results are close because 0.48(1 -0.48) = 0 2496 is very close to 0 25.

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