For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.

Santa Fe black-on-white is a type of pottery commonly found at archaeological excavations at a certain monument. At one excavation site a sample of602potsherds was found, of which353were identified as Santa Fe black-on-white.

(a) Letprepresent the proportion of Santa Fe black-on-white potsherds at the excavation site. Find a point estimate forp. (Round your answer to four decimal places.)

(b) Find a 95% confidence interval forp. (Round your answers to three decimal places.)lower limitupper limit

Give a brief statement of the meaning of the confidence interval.

95% of the confidence intervals created using this method would include the true proportion of potsherds.

5% of all confidence intervals would include the true proportion of potsherds.

5% of the confidence intervals created using this method would include the true proportion of potsherds.

95% of all confidence intervals would include the true proportion of potsherds.

(c) Do you think thatnp>5 andnq>5 are satisfied for this problem? Explain why this would be an important consideration.

No, the conditions are not satisfied. This is important because it allows us to say thatpis approximately binomial.

No, the conditions are not satisfied. This is important because it allows us to say thatpis approximately normal.

Yes, the conditions are satisfied. This is important because it allows us to say thatpis approximately normal.

Yes, the conditions are satisfied. This is important because it allows us to say thatpis approximately binomial.