In a study of 411 nonprofits nationwide, 80 indicated that turnover has been the biggest employment challenge at their organization. Complete parts (a) through (c). a. Construct a 95% confidence interval for the population proportion of nonprofits that indicate turnover as the biggest employment challenge at their organization. SлS (Type integers or decimals. Round to three decimal places as needed.) b. Interpret the interval constructed in part (a). Choose the correct answer below. A. With 5% confidence, the proportion of nonprofits that indicate turnover as the biggest employment challenge at their organization in the population is in this interval. B. With 95% confidence, the proportion of nonprofits that indicate turnover as the biggest employment challenge at their organization in the sample is in this interval. ○ C. With 95% confidence, the proportion of nonprofits that indicate turnover as the biggest employment challenge at their organization in the population is in this interval. ○ D. With 5% confidence, the proportion of nonprofits that indicate turnover as the biggest employment challenge at their organization in the sample is in this interval. c. If you wanted to conduct a follow-up study to estimate the population proportion of nonprofits that indicate turnover as the biggest employment challenge at their organization to within ±0.04 with 95% confidence, how many nonprofits would you survey? A sample of nonprofits should be surveyed. (Round up to the nearest integer.)
In a study of 411 nonprofits nationwide, 80 indicated that turnover has been the biggest employment challenge at their organization. Complete parts (a) through (c). a. Construct a 95% confidence interval for the population proportion of nonprofits that indicate turnover as the biggest employment challenge at their organization. SлS (Type integers or decimals. Round to three decimal places as needed.) b. Interpret the interval constructed in part (a). Choose the correct answer below. A. With 5% confidence, the proportion of nonprofits that indicate turnover as the biggest employment challenge at their organization in the population is in this interval. B. With 95% confidence, the proportion of nonprofits that indicate turnover as the biggest employment challenge at their organization in the sample is in this interval. ○ C. With 95% confidence, the proportion of nonprofits that indicate turnover as the biggest employment challenge at their organization in the population is in this interval. ○ D. With 5% confidence, the proportion of nonprofits that indicate turnover as the biggest employment challenge at their organization in the sample is in this interval. c. If you wanted to conduct a follow-up study to estimate the population proportion of nonprofits that indicate turnover as the biggest employment challenge at their organization to within ±0.04 with 95% confidence, how many nonprofits would you survey? A sample of nonprofits should be surveyed. (Round up to the nearest integer.)
Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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
Transcribed Image Text:In a study of 411 nonprofits nationwide, 80 indicated that turnover has been the biggest employment challenge at their organization. Complete parts (a) through (c).
a. Construct a 95% confidence interval for the population proportion of nonprofits that indicate turnover as the biggest employment challenge at their organization.
SлS (Type integers or decimals. Round to three decimal places as needed.)
b. Interpret the interval constructed in part (a).
Choose the correct answer below.
A. With 5% confidence, the proportion of nonprofits that indicate turnover as the biggest employment challenge at their organization in the population is in this interval.
B. With 95% confidence, the proportion of nonprofits that indicate turnover as the biggest employment challenge at their organization in the sample is in this interval.
○ C. With 95% confidence, the proportion of nonprofits that indicate turnover as the biggest employment challenge at their organization in the population is in this interval.
○ D. With 5% confidence, the proportion of nonprofits that indicate turnover as the biggest employment challenge at their organization in the sample is in this interval.
c. If you wanted to conduct a follow-up study to estimate the population proportion of nonprofits that indicate turnover as the biggest employment challenge at their organization to within ±0.04 with 95% confidence, how many nonprofits would you survey?
A sample of nonprofits should be surveyed. (Round up to the nearest integer.)
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