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.

4) A study of 12,000 cell phone users found that 125 of them developed cancer of the brain or nervous system. Write a 95% confidence statement for the percentage of all cell phone users who develop cancer of the brain or nervous system. MOE =

In a survey of 2298 ​adults, 709 say they believe in UFOs. Construct a 95% confidence interval for the population proportion of adults who believe in UFOs.

Theres a sampled of 361 people in total. People were allowed to self-identify as a heavy smoker or a non-smoker (mutually exclusive outcomes), and as diagnosed with lung cancer or not diagnosed with lung cancer (mutually exclusive outcomes). All surveyed people were under the age of 55, with similar age distributions in the smoking and not smoking categories. 343 people said that they did not smoke, and of those 343 people, 58 had been diagnosed with lung cancer. Only 18 people said  that they were heavy smokers, and of those 18, 14 had been diagnosed with lung cancer.     A. A chi-squared test of independence yields a p-value of 2e-9. Assuming an alpha of 0.05, what can you conclude from the data based solely on the chi-squared test? Explain. B. 95% Cl of odd ratios (OR) of odds (cancer / smoking) / odds (cancer /no cancer ) is 5.1 -73.5. What can you conclude based solely on the odds?

In a survey of 3332 adults aged 57 through 85​ years, it was found that 80.7​% of them used at least one prescription medication.  a. Construct a​ 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication.

In a random sample of 575 American goods, about 46.3% of them were transported by rail in 2017. Construct a 90% confidence interval for the proportion of goods in America transported by rail in 2017.

7. In a poll of 519 human resource​ professionals, 45.9​% said that body piercings and tattoos were big personal grooming red flags. Complete parts​ (a) through​ (d) below. a. Among the 519 human resource professionals who were​ surveyed, how many of them said that body piercings and tattoos were big personal grooming red​ flags?  b. Construct a​ 99% confidence interval estimate of the proportion of all human resource professionals believing that body piercings and tattoos are big personal grooming red flags. round to 3 decimal points  c. repeat b using 80% confidence  d. Compare the confidence intervals from parts (b) and (c) and identify the interval that is wider. Why is it wider?A. The 99% confidence interval is wider than the 80% confidence interval. A confidence interval must be wider in order to be less confident that it captures the true value of the population proportion.B. The 99% confidence interval is wider than the 80% confidence interval. A confidence interval must be…

In a random sample of 600 adults, 270 described themselves as vegetarians. Construct a 99% confidence interval for the proportion of all adults who describe themselves as vegetarians.

A marketing survey involves product recognition in New York and California. Of 558 New Yorkers surveyed, 183 knew the product while 186 out of 614 Californians knew the product. Construct a 98% confidence interval for the difference between the two population proportions. Interpret the results.

A marketing study by Ford Motor Company finds that 320 of the 650 buyers of compact cars were women. Construct the 90% confidence interval for the proportion of all compact car buyers who are women, and explain what it means.