Assume that the following data were generated using a valid and appropriate methodology. XYZ Data Analytics, Inc. received properly completed surveys from 523 members of the target population for a new product. One hundred seventy nine of those respondents indicated they would buy the new product at the proposed price. Based on these data, construct an interval estimate of the population proportion of the target market that would buy the new product at the proposed price using a confidence level of 92.5%. The lower boundary of the interval estimate is and the upper boundary is . Round your answers to four decimal places, and do not use leading zeros.

The margin of error for the interval estimate is . Round your answer to four decimal places, and do not use a leading zero.

Assuming the same p would result and keeping the confidence level at 92.5%, the sample size required to assure a margin of error of no more than plus or minus 2 percentage points is . Assume that the population proportion is 0.5, round your answer to the appropriate level, and use a comma to separate 000s, e. g. 2,445 instead of 2445.