## MATH 225N Week 6 Assignment Estimating Sample Size for a Population Proportion

**Question:**Suppose an automotive repair company wants to determine the current percentage of customers who keep up with regular vehicle maintenance. How many customers should the company survey in order to … 90% confident that the estimated (sample) proportion is within 2 percentage points of the true population proportion of customers who keep up with regular vehicle maintenance?**Question:**Suppose a shoe store wants to determine the current percentage of customers who are males. How many customers should the company survey in order to … 90% confident that the estimated (sample) proportion is within 3 percentage points of the true population proportion of customers who are males?**Question:**Deborah wants to estimate the percentage of people who eat fast food at least once per week. She wants to create a 90% confidence interval which has an error bound of at most 3%. How many people should … polled to create the confidence interval?**Question:**Suppose an automotive repair company wants to determine the current percentage of customers who keep up with regular vehicle maintenance. How many customers should the company survey in order to … 95% confident that the estimated (sample) proportion is within 5 percentage points of the true population proportion of customers who keep up with regular vehicle maintenance?**Question:**Suppose a clothing store wants to determine the current percentage of customers who are over the age of forty. How many customers should the company survey in order to … 92% confident that the estimated (sample) proportion is within 3 percentage points of the true population proportion of customers who are over the age of forty?**Question:**Suppose an automotive repair company wants to determine the current percentage of customers who keep up with regular vehicle maintenance. How many customers should the company survey in order to …90% confident that the estimated (sample) proportion is within 5 percentage points of the true population proportion of customers who keep up with regular vehicle maintenance?**Question:**Suppose a shoe store wants to determine the current percentage of customers who are males. How many customers should the company survey in order to … 98% confident that the estimated (sample) proportion is within 3 percentage points of the true population proportion of customers who are males?**Question:**Virginia wants to estimate the percentage of students who live more than three miles from the school. She wants to create a 95% confidence interval which has an error bound of at most 5%. How many students should … polled to create the confidence interval?**Question:**Suppose an automotive repair company wants to determine the current percentage of customers who keep up with regular vehicle maintenance. How many customers should the company survey in order to … 95% confident that the estimated (sample) proportion is within 2 percentage points of the true population proportion of customers who keep up with regular vehicle maintenance?**Question:**Emma wants to estimate the percentage of people who use public transportation. She surveys 140 individuals and finds that 100 use public transportation. What is the sample proportion for successes,*p*′?**Question:**Emma wants to estimate the percentage of people who use public transportation. She surveys 140 individuals and finds that 100 use public transportation. What are the sample proportion for failures,*q*′?**Question:**Using the information from above, with*p*′=714,*q*′=0.286, and*n*=140, what is the 90% confidence interval for the proportion of the population who use public transportation?**Question:**The Pew Social Media Update 2014 surveyed 1,597 adult internet users on which social media websites they use. Of the users surveyed, 1,134 responded “yes” when asked if they use Facebook. What is the value of*p*′, the estimate proportion of Facebook users in this research study?**Question:**The Pew Social Media Update 2014 surveyed 1,597 adult internet users on which social media websites they use. Of the users surveyed, 1,134 responded “yes” when asked if they use Facebook. From the question above, we know that*p*′=71. What is the error bound for proportions (*EBP*) of a confidence interval with a 99% confidence level?**Question:**The Pew Social Media Update 2014 surveyed 1,597 adult internet users on which social media websites they use. Of the users surveyed, 1,134 responded “yes” when asked if they use Facebook. What is the confidence interval, at the 99% confidence level, for the proportion of the population of internet users that use facebook?**Question:**Daniel wants to estimate the percentage of people who play sports. He surveys 360 individuals and finds that 75 play sports. What is the sample proportion for successes,*p*′?*p*′=*xn*=75/360=208**Question:**Daniel wants to estimate the percentage of people who play sports. He surveys 360 individuals and finds that 75 play sports. What is the sample proportion for failures,*q*′?…. Since*p*′+*q*′=1, we can solve for*q*′….*q*′=1−*p*′=1−0.208=0.792**Question:**Using the information from above, with*p*′=208,*q*′=0.792, and*n*=360, what is the 95% confidence interval for the proportion of the population who play sports?**Question:**The population mean of a set of data is unknown. The sample mean is 29, and the error bound for the mean is 4, at a 68% confidence level. (So,*x*¯=29 and EBM = 4.) Find and interpret the confidence interval estimate.**Question:**Suppose a shoe store wants to determine the current percentage of customers who are males. How many customers should the company survey in order to … 92% confident that the estimated (sample) proportion is within 4 percentage points of the true population proportion of customers who are males?**Question:**Billy wants to estimate the percentage of students who live more than three miles from the school. He wants to create a 95% confidence interval which has an error bound of at most 3%. How many students should … polled to create the confidence interval?**Question:**Suppose an internet marketing company wants to determine the current percentage of customers who click on ads on their smartphones. How many customers should the company survey in order to … 98% confident that the estimated proportion is within 5 percentage points of the true population proportion of customers who click on ads on their smartphones?**Question:**Jason wants to estimate the percentage of people who sleep for at least seven hours each night. He wants to create a 92% confidence interval which has an error bound of at most 3%. How many people should … polled to create the confidence interval?**Question:**Suppose a clothing store wants to determine the current percentage of customers who are over the age of forty. How many customers should the company survey in order to … 98% confident that the estimated (sample) proportion is within 2 percentage points of the true population proportion of customers who are over the age of forty?**Question:**Ariana wants to estimate the percentage of people who play a musical instrument. She surveys 380 individuals and finds that 260 play a musical instrument. What is the sample proportion for successes,*p*′?**Question:**Ariana wants to estimate the percentage of people who play a musical instrument. She surveys 380 individuals and finds that 260 play a musical instrument. What is the sample proportion for failures,*q*′?**Question:**Using the information from above, with*p*′=684,*q*′=0.316, and*n*=380, what is the 90% confidence interval for the proportion of the population who play a musical instrument?**Question:**Suppose a pizza company wants to determine the current percentage of customers who eat pizza more than twice a month. How many customers should the company survey in order to … 98% confident that the estimated (sample) proportion is within 4 percentage points of the true population proportion of customers who eat pizza more than twice a month?**Question:**Brenda wants to estimate the percentage of people who eat fast food at least once per week. She wants to create a 95% confidence interval which has an error bound of at most 2%. How many people should … polled to create the confidence interval?

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