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In a random sample of 678 adult males 20 to 34 years of age, it was determined that 58 of them have hypertension (high blood pressure). Complete parts (a) through (d) below. (a) Obtain a point estimate for the proportion of adult males 20 to 34 years of age who have hypertension. A point estimate for the proportion is 0.086 (Round to three decimal places as needed.) (b) Construct a 95% confidence interval for the proportion of adult males 20 to 34 years of age who have hypertension. Interpret the confidence interval. One can be 95% confident that the proportion of adult males 20 to 34 years old who have hypertension is between 0.065 and 0.107. (Type integers or decimals rounded to three decimal places as needed. Use ascending order.) (c) You wish to conduct your own study to determine the proportion of adult males 20 to 34 years old who have hypertension. What sample size would be needed for the estimate to be within 3 percentage points with 95% confidence if you use the point estimate obtained in part (a)? (Round up to the nearest integer.) (d) You wish to conduct your own study to determine the proportion of adult males 20 to 34 years old who have hypertension. What sample size would be needed for the estimate to be within 3 percentage points with 95% confidence if you don't have a prior estimate? (Round up to the nearest integer.)

In a random sample of 678 adult males 20 to 34 years of age, it was determined that 58 of them have hypertension (high blood pressure). Complete parts (a) through (d) below. (a) Obtain a point estimate for the proportion of adult males 20 to 34 years of age who have hypertension. A point estimate for the proportion is 0.086 (Round to three decimal places as needed.) (b) Construct a 95% confidence interval for the proportion of adult males 20 to 34 years of age who have hypertension. Interpret the confidence interval. One can be 95% confident that the proportion of adult males 20 to 34 years old who have hypertension is between 0.065 and 0.107. (Type integers or decimals rounded to three decimal places as needed. Use ascending order.) (c) You wish to conduct your own study to determine the proportion of adult males 20 to 34 years old who have hypertension. What sample size would be needed for the estimate to be within 3 percentage points with 95% confidence if you use the point estimate obtained in part (a)? (Round up to the nearest integer.) (d) You wish to conduct your own study to determine the proportion of adult males 20 to 34 years old who have hypertension. What sample size would be needed for the estimate to be within 3 percentage points with 95% confidence if you don't have a prior estimate? (Round up to the nearest integer.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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In a random sample of 678 adult males 20 to 34 years of age, it was determined that 58 of them have hypertension (high blood pressure).
### Estimating Hypertension Proportion in Adult Males Aged 20-34 In a random sample of 678 adult males aged 20 to 34 years, it was determined that 58 of them have hypertension (high blood pressure). Complete the following tasks: #### (a) Point Estimate for Hypertension Proportion Calculate a point estimate for the proportion of adult males aged 20 to 34 years who have hypertension. - **Point Estimate: 0.086** *(Round to three decimal places as needed.)* #### (b) Constructing a 95% Confidence Interval Interpret the 95% confidence interval for the proportion of adult males aged 20 to 34 years who have hypertension. - **Interpretation**: One can be 95% confident that the proportion of adult males aged 20 to 34 years old who have hypertension is between **0.065** and **0.107**. *(Round to three decimal places as needed. Use ascending order.)* #### (c) Determining Sample Size with Prior Estimate You wish to conduct a study to determine the proportion of adult males aged 20 to 34 years who have hypertension. What sample size would be needed for the estimate to be within 3 percentage points with 95% confidence using the point estimate from part (a)? - **Sample Size (Rounded up to the nearest integer)**: [ ] #### (d) Determining Sample Size Without Prior Estimate You wish to conduct a study to determine the proportion of adult males aged 20 to 34 years who have hypertension. What sample size would be needed for the estimate to be within 3 percentage points with 95% confidence without a prior estimate? - **Sample Size (Rounded up to the nearest integer)**: [ ] Use this information to calculate the necessary sample sizes for your research, ensuring your study’s results are accurate and reliable.
Transcribed Image Text:### Estimating Hypertension Proportion in Adult Males Aged 20-34 In a random sample of 678 adult males aged 20 to 34 years, it was determined that 58 of them have hypertension (high blood pressure). Complete the following tasks: #### (a) Point Estimate for Hypertension Proportion Calculate a point estimate for the proportion of adult males aged 20 to 34 years who have hypertension. - **Point Estimate: 0.086** *(Round to three decimal places as needed.)* #### (b) Constructing a 95% Confidence Interval Interpret the 95% confidence interval for the proportion of adult males aged 20 to 34 years who have hypertension. - **Interpretation**: One can be 95% confident that the proportion of adult males aged 20 to 34 years old who have hypertension is between **0.065** and **0.107**. *(Round to three decimal places as needed. Use ascending order.)* #### (c) Determining Sample Size with Prior Estimate You wish to conduct a study to determine the proportion of adult males aged 20 to 34 years who have hypertension. What sample size would be needed for the estimate to be within 3 percentage points with 95% confidence using the point estimate from part (a)? - **Sample Size (Rounded up to the nearest integer)**: [ ] #### (d) Determining Sample Size Without Prior Estimate You wish to conduct a study to determine the proportion of adult males aged 20 to 34 years who have hypertension. What sample size would be needed for the estimate to be within 3 percentage points with 95% confidence without a prior estimate? - **Sample Size (Rounded up to the nearest integer)**: [ ] Use this information to calculate the necessary sample sizes for your research, ensuring your study’s results are accurate and reliable.
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