A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained physical activity. What sample size should be obtained if he wishes the estimate to be within three percentage points with 99% confidence, assuming that (a) he uses the estimates of 22.2% male and 19.1% female from a previous year? (b) he does not use any prior estimates? (a) n = (Round up to the nearest whole number.)

A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained physical activity. What sample size should be obtained if he wishes the estimate to be within three percentage points with 99% confidence, assuming that (a) he uses the estimates of 22.2% male and 19.1% female from a previous year? (b) he does not use any prior estimates? (a) n = (Round up to the nearest whole number.)

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...

See similar textbooks

Related questions

Q: How many students should be sampled in order to be 90% confident in estimating the proportion in…

A: Given that Margin of error =E =0.10 90% confidence.

Q: 2) Assume the p=.03 (3%). How large a sample is needed to estimate the proportion of breast cancer…

Q: this probiem, carry at least lour digits alteer the decimal in your calculadons. Answers may vary…

A: It is given that margin of error (E) is 0.03 and the confidence level is 0.80.

Q: Data for (3) A random sample of 100 statisticians were asked, "To what extent do you feel the…

A: Solution To draw the distribution pie chart is appropriate because the sample size is large and the…

Q: A physical therapist wants to determine the difference in the proportion of men and women who…

Q: Suppose that your sample size was 37, what is P(t<-1.74) (Negative 1.74)?

A: Given information- Sample size, n = 37 t-score = -1.74 We have to find the p (t<-1.74). Degree of…

Q: Suppose the manager of a shoe store wants to determine the current percentage of customers who are…

Q: A random sample of 1,175 people in a certain country were asked whether they thought climate change…

A: The objective of the question is to correctly interpret the meaning of a 95 percent confidence…

Q: Based on historical data at Oxnard College, we believe that 30% of freshman do not visit their…

A: Given Margin of error=E=0.05

Q: Suppose the manager of a shoe store wants to determine the current percentage of customers who are…

A: Given: Confidence level=80% Margin of error, E=6%=0.06

Q: Suppose the manager of a shoe store wants to determine the current percentage of customers who are…

A: Given that Confidence level=95% and Margin of error=6%

Q: What is the margin of error for a 99% CI for a mean, when the sample size is 12, the sample average…

A: Given: Sample size, n = 12 Sample mean, x = 52 Sample standard deviation, s = 13 It follows a…

Q: A television sports commentator wants to estimate the proportion of citizens who "follow…

A: Solution: a. From the given information, confidence level is 0.96, p=0.48 and E=0.03.

Q: Suppose a certain Statistics instructor wants to estimate the proportion of students that cheat on…

A: From the provided information,Confidence level = 95%Margin of error (E) = 0.02When no prior estimate…

Q: Suppose a clothing store wants to determine the current percentage of customers who are over the age…

Q: (d) State the conclusion in context of the problem. There sufficient evidence at the a=0.01 level of…

A: The population mean μ = 24The sample standard deviation(s)=6.3The sample size n=15The sample mean,…

Q: A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size…

A: a) Given, Margin error = 0.02 Population proportion = 0.36 The objective is to find the sample…

Q: A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size…

A: GivenMargin of error(E)=0.03confidence level(c)=99%α=1-0.99=0.01α2=0.05zα2=z0.05=1.6449 (from…

Q: Not all visitors to a certain company's website are customers or potential customers. In fact, the…

A: a) Suppose a random variable X, defines the number of visitors, who actually are looking for the…

Q: Not all visitors to a certain company's website are customers or potential customers. In fact, the…

A: It is given that n = 40.

Q: Not all visitors to a certain company's website are customers or potential customers. In fact, the…

Q: Suppose the manager of a shoe store wants to determine the current percentage of customers who are…

A: margin of error = 0.1 sample proportion = 0.05 z-critical value = 2.326

Q: c) If the scientists want to estimate the proportion of deer that carry Lyme disease ticks to…

A: We have given that, Margin of error (E) = 0.02 and confidence level = 90% Then, We will find the…

Q: nis problem, carry at least four digits arter decimal in your calculations. Answers may vary…

A: Solution: Given information: Margin of error = E= 0.06 Level of significance = α=0.20

Q: For this problem, carry at least four digits after the decimal in your calculations. Answers may…

A: Given data How hard is it to reach a business person by phone? and given let p be the proportion of…

Q: Not all visitors to a certain company's website are customers or potential customers. In fact, the…

Q: A physical therapist wants to determine the difference in the proportion of men and women who…

Q: Your state is considering raising the legal age for consumption of alcoholic beverages to 21 years…

A: p = 0.5 Margin of error = 0.01

Q: Suppose a certain Statistics instructor wants to estimate the proportion of students who enjoy…

A: since estimate for proportion is not known therefor we take p⏞=0.5 margin of error=E= 0.03 level of…

Q: If you want to be 99% confident of estimating the population proportion to within a sampling error…

A: Answer:- Given, Confidence level, C = 99% = 0.99Error, E = 0.06Population proportion, p = 0.43 Using…

Q: A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What…

Q: A study is to be made to estimate the proportion of residents of a certain city and its suburbs who…

A: Given: Margin of Error ME= 0.06 Confidence level c= 0.90

Q: A study is to be made to estimate the proportion of residents of a certain city and its suburbs who…

A: Given: Confidence level = 0.95, margin of error = E = 0.08.

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained physical activity.
What sample size should be obtained if he wishes the estimate to be within three percentage points with 99% confidence, assuming that
(a) he uses the estimates of 22.2% male and 19.1% female from a previous year?
(b) he does not use any prior estimates?
(a) n =
(Round up to the nearest whole number.)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Given data,

Step 1

Step 2

Step 3

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. How hard is it to reach a businessperson by phone? Let p be the proportion of calls to businesspeople for which the caller reaches the person being called on the first try. LAUSE SALT (a) If you have no preliminary estimate for p, how many business phone calls should you include in a random sample to be 80% sure that the point estimate p will be within distance of 0.07 from p? (Round your answer up to the nearest whole number.) phone calls (b) A report states that businesspeople can be reached by a single phone call approximately 23% of the time. Using this (national) estimate for p, answer part (a). (Round your answer up to the nearest whole number.) phone calls
‘In 1996, 31% of students reported that their mothers had graduated college. In 2000, the percentage grew to 32%. The sample size used for both reports was 8368 students. What is the p-value?’
A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained if he wishes the estimate to be within4 percentage points with 95% confidence if (a) he uses a previous estimate of 34%? (b) he does not use any prior estimates?
Not all visitors to a certain company's website are customers or potential customers. In fact, the company's executives estimate that about 5% of all visitors to the website are looking for other websites. Assume that this estimate is correct and that a random sample of 50 visitors to the website is taken. Answer the following. (If necessary, consult a list of formulas.) (a) Estimate the number of visitors in the sample who actually are looking for the company's website by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response. (b) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places.
Suppose the manager of a shoe store wants to determine the current percentage of customers who are males. How many customers should the manager survey in order to be 92% confident that the estimated (sample) proportion is within 8 percentage points of the true population proportion of customers who are males? z0.10 z0.05 z0.04 z0.025 z0.01 z0.005 1.282 1.645 1.751 1.960 2.326 2.576 Use the table of values above.
A study is to be made to estimate the proportion of residents of a certain city and its suburbs who favor the construction of a nuclear power plant near the city. How large a sample is needed if one wishes to be at least 90% confident that the estimate is within 0.03 of the true proportion of residents who favor the construction of the nuclear power plant?
On average, a sample of n = 36 scores will provide a better estimate of the population mean than a sample of n = 49 scores from the same population.
Not all visitors to a certain company's website are customers or potential customers. In fact, the company's executives estimate that about 10% of all visitors to the website are looking for other websites. Assume that this estimate is correct and that a random sample of 40 visitors to the website is taken. Answer the following. (If necessary, consult a list of formulas.) (a) Estimate the number of visitors in the sample who actually are looking for the company's website by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response. (b) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places.
Suppose I want to sample the household incomes for EBR parish. Let's say I start with a simple random sample of 100 residents and calculate the sample mean. How would the sampling distribution of change if I increase the sample size to 1,000 residents?
I need help with this
Not all visitors to a certain company's website are customers or potential customers. In fact, the company's executives estimate that about 12% of all visitors to the website are looking for other websites. Assume that this estimate is correct and that a random sample of 40 visitors to the website is taken. Answer the following. (If necessary, consult a list of formulas.) (a) Estimate the number of visitors in the sample who actually are looking for the company's website by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response. (b) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places.