The manufacturer of a drug claims that at least 94% of patients treated with the drug are healed within 8 weeks. In clinical trials, 222 of 230 randomly selected patients were healed within 8 weeks. Construct and interpret a 95% confidence interval for the true proportion of patients who are healed within 8 weeks. You may assume that all conditions are satisfied.

A research company is interested in determining the true proportion of Americans that work remotely. In a random sample of 200 individuals, 4.5% of them work remotely. Find a 90% confidence interval for the true proportion of Americans that work remotely.

A study is conducted by a physical therapist to determine whether there is a difference in the proportion of men and women in the U.S. that participate in regular sustained physical activity. It is found that 22% of menout of 550 and 19.5% of women out of 450 participated in regular sustained physical activity. Construct a 90% confidence interval for the difference in proportions of men and women that participate in regular sustained and state your conclusion.

Wildlife biologists inspect 180 deer taken by hunters and find 36 of them carrying Lyme disease ticks. Calculate a 95% confidence interval for the proportion of deer that carry Lyme disease ticks.

a critic points out that this 95 %  confidence interval is only accurate if the statistic follows a normal distrubution , or if the normal model is a good approximation. is this true for this data? explain

a survey of 3080 ​adults, 1471 say they have started paying bills online in the last year.   Construct a​ 99% confidence interval for the population proportion. Interpret the results

Public Policy Polling recently conducted a survey asking adults across the U.S. about music preferences. When asked, 80 of the 571 participants admitted that they have illegally downloaded music. Without performing any calculations, describe how the confidence interval would change if the confidence level changed from 99% to 90%.