In a certain state, a survey of 500 workers showed that 38% belonged to a union.  Find the 93% confidence interval for the overall proportion of workers who belong to a union

In a survey of 1,626,773 U.S. adults, 49,311 personally identified as lesbian, gay, bisexual, or transgender. Construct a 95% confidence interval for the population portion of U.S. adults who personally identify as gay, lesbian,bisexual or transgender.

In a survey of 3071 ​adults, 1484 say they have started paying bills online in the last year.   Construct a​ 99% confidence interval for the population proportion. Interpret the results.

As health insurance costs and the number of disabled employees increase, more companies are firing these employees.  A survey of 750 employers found that 192 dismiss employees as soon as they go on long-term disability. Construct a 90% confidence interval for the proportion of employers who dismiss employees as soon as they go on long-term disability.

Suppose that you are a nurse and you are assigned to do checkups of people one day per week in a certain village. You have a total of 300 patients in the village. You have the option of doing the checkups in the mornings or in the afternoons. Therefore, you ask 35 patients and find that 62% prefer afternoon appointments while 38% prefer morning appointments. Find the 95% confidence limit for the proportion of all patients that prefer afternoon appointments.

The figure to the right shows the results of a survey in which 997 adults from Country​ A, 1022 adults from Country​ B, 1013 adults from Country​ C, 1011 adults from Country​ D, and 1008 adults from Country E were asked whether national identity is strongly tied to birthplace. Construct a 95​%confidence interval for the population proportion of adults who say national identity is strongly tied to birthplace for each country listed.   The 95​% confidence interval for the proportion of adults from Country A who say national identity is strongly tied to birthplace is ,. ​(Round to three decimal places as​ needed.)   Country A   37%             Country B    18%  Country C      27%  Country  D     46% Country  E  11 ​%

The manager at Bell’s Gym wants to know the proportion of members who use the Cardio Machines. A sample of 260 members showed that 40 of them use cardio machines. Calculate a 97% confidence interval for the proportion of members who use the cardio machines.

Of 260 employees selected randomly from one company, 18.46% of them commute by carpooling. Construct a 98% confidence interval for the true percentage of all employees of the company who carpool. Interpret the results.

Find a 95% confidence interval for the true population proportion.  In a poll of 1079 college students, 22% said that they had cheated at least once on an exam

Find a 90% confidence interval for the true proportion of people that eat frog legs, if in a sample of 732 people 65% eat frog legs.