**Determine the Sample Size Necessary to Estimate \( p \) for the Following Information:**a. \( E = 0.04 \), \( p \) is approximately 0.30, and confidence level is 96%b. \( E \) is to be within 0.03, \( p \) is unknown, and confidence level is 95%c. \( E \) is to be within 5%, \( p \) is approximately 56%, and confidence level is 90%d. \( E \) is to be no more than 0.02, \( p \) is unknown, and confidence level is 99%*(Round answers to 0 decimal places, e.g., 5,125.)*- **a. Sample size =** [ ]- **b. Sample size =** [ ]- **c. Sample size =** [ ]- **d. Sample size =** [ ]**Appendix A Statistical Tables**This section helps determine the appropriate sample size for estimating the proportion \( p \) based on various conditions of error margin \( E \), known or unknown proportions, and specified confidence levels. Adjust the sample size based on these criteria and round off your answers accordingly.

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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The Student Health Center at NCSU would like to conduct a survey to estimate the proportion of NCSU students who have smoked marijuana in the past month. The Student Health Center would like to estimate the population proportion p to within .04 with 95% confidence. 1. What sample size is required if the Health Center has no knowledge of the approximate value of p? 2. The Health Center discovers the results of a previous survey that estimates p to be about .35. Use this additional information to calculate the sample size required to estimate the population proportion p to within .04 with 95% confidence.
In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time college students who earn a bachelor's degree in four years or less. Find the sample size needed to estimate that percentage. Use a 0.04 margin of error and use a confidence level of 95%.Complete parts (a) through (c) below. a. Assume that nothing is known about the percentage to be estimated. n=? (Round up to the nearest integer.) b. Assume prior studies have shown that about 60% of full-time students earn bachelor's degrees in four years or less. n=? (Round up to the nearest integer.) c. Does the added knowledge in part (b) have much of an effect on the sample size? A. No, using the additional survey information from part (b) does not change the sample size. B. Yes, using the additional survey information from part (b) dramatically reduces the sample size. C. No, using the additional survey information from…
In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time college students who earn a bachelor's degree in four years or less. Find the sample size needed to estimate that percentage. Use a 0.04 margin of error and use a confidence level of 95%. Complete parts (a) through (c) below. a. Assume that nothing is known about the percentage to be estimated. n= (Round up to the nearest integer.) b. Assume prior studies have shown that about 55% of full-time students earn bachelor's degrees in four years or less. n= (Round up to the nearest integer.) c. Does the added knowledge in part (b) have much of an effect on the sample size? O A. No, using the additional survey information from part (b) does not change the sample size. O B. Yes, using the additional survey information from part (b) dramatically reduces the sample size. Oc. Yes, using the additional survey information from part (b) only slightly increases the sample size. O…
I only need part B
Using the given margin of error, confidence level, and likely range for the observed value of the sample proportion, obtain a sample size that will ensure a margin of error of at most the one specified (provided, of course, that the observed value of the sample proportion is further from 0.5 than the educated guess). margin of error = 0.01; confidence level = 95%; likely range = 0.3 to 0.4 The required sample size is n = (Round up to the nearest whole number.)
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Determine the sample size necessary to estimate p for the following information. a. E = 0.04, p is approximately 0.30, and confidence level is 96% b. E is to be within 0.03, p is unknown, and confidence level is 95% c. E is to be within 5%, p is approximately 56%, and confidence level is 90%