A recent Gallup Poll of 1000 randomly selected American adults resulted in 850 people saying that, among a list of professions that were assessed for honesty and ethical standards, nurses' honesty and ethical standards are "very high" or "high". The chairman of the admission committee for a well-known nursing school plans to publicize these results to potential applicants. He comes to you for help to use these results to provide an estimate of the population proportion of all American adults who say that nurses' honesty and ethical standards are "very high" or "high". You ask the chairman what confidence level should be used 90%, 95%, 98% or 99%. The chairman says "I am not sure what the confidence level really means, but use 98% I guess". The chairman also adds, "My colleagues have always said that 99% of nurses are ethical or honest." Does the data support this?

You create the following list to help you remember the various items you need to include in your response back to the chairman:

1. Assumptions: You know a random sample of American adults was selected. You plan to both (a) state and (b) check the remaining necessary assumption using proper notation to use the normal approximation to the binomial.
2. Computations: You will need to compute (showing all work so the chairman can follow your computations) the 98% confidence interval.
3. Confidence Interval Interpretation: You will need to provide an interpretation of the 98% confidence interval in context.
4. Confidence Level Explanation: Since the chairman was unclear what the confidence level means, you will need to include a sentence to explain it, that is, provide an interpretation of the 98% confidence level in context.
5. Support for p=0.99: You will need to assess whether the chairman should have been disappointed. Using your interval, you will need to provide a brief explanation as to whether there is support for the chairman's colleagues' view that 99% of nurses are ethical or honest.

Complete your responses in the list to the chairman, clearly identifying each item in the list.