A bond proposal for school construction is on the ballot at the next city election. Money from this bond issue will be used to build schools in a rapidly developing section of the city, and the remainder will be used to renovate and update school buildings in the rest of the city. To assess the popularity of the bond proposal, a random sample of n 550 1 residents in the developing section and n 5100 2 residents from the other parts of the city were asked whether they plan to vote for the proposal. The results are shown in Table 8.6.

1. Estimate the difference in the true proportions favoring the bond proposal with a 99%
confidence interval.
2. If both samples were pooled into one sample of size n5150, with 103 in favor of the proposal, provide a point estimate of the proportion of city residents who will vote for the bond proposal. What is the margin of error?

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Table 8.6 Sample Values for Opinion on Bond Proposal Developing Section Rest of the City Sample Size 50 Number Favoring Proposal 38 Proportion Favoring Proposal .76 100 65 .65