questionPhoenix Marketing International identified Bridgeport, Connecticut, Los Alamos, New Mexico,
Naples, Florida and Washington D.C. as the four U.S. cities with the highest percentage of millionaires (USA Today, December 7, 2011). Data consistent with that study show the following number of millionaires for samples of individuals from each of the four cities.
<table style="border-collapse:collapse;border-spacing:0;border:none;table-layout: fixed; width: 715px" class="tg"><colgroup><col style="width: 187px"><col style="width: 182px"><col style="width: 92px"><col style="width: 110px"><col style="width: 144px"></colgroup><thead><tr><th style="border-color:inherit;border-style:solid;border-width:0px;font-family:Arial, sans-serif;font-size:14px;font-weight:normal;overflow:hidden;padding:10px 5px;text-align:left;vertical-align:top;word-break:normal"></th><th style="border-color:inherit;border-style:solid;border-width:0px;font-family:Arial, sans-serif;font-size:14px;font-weight:normal;overflow:hidden;padding:10px 5px;text-align:center;vertical-align:top;word-break:normal" colspan="4">City</th></tr></thead><tbody><tr><td style="border-color:inherit;border-style:solid;border-width:0px;font-family:Arial, sans-serif;font-size:14px;overflow:hidden;padding:10px 5px;text-align:left;vertical-align:top;word-break:normal">Millionaire</td><td style="border-color:inherit;border-style:solid;border-width:0px;font-family:Arial, sans-serif;font-size:14px;overflow:hidden;padding:10px 5px;text-align:center;vertical-align:top;word-break:normal">Bridgeport</td><td style="border-color:inherit;border-style:solid;border-width:0px;font-family:Arial, sans-serif;font-size:14px;overflow:hidden;padding:10px 5px;text-align:center;vertical-align:top;word-break:normal">Los Alamos</td><td style="border-color:inherit;border-style:solid;border-width:0px;font-family:Arial, sans-serif;font-size:14px;overflow:hidden;padding:10px 5px;text-align:center;vertical-align:top;word-break:normal">Naples</td><td style="border-style:solid;border-width:0px;font-family:Arial, sans-serif;font-size:14px;overflow:hidden;padding:10px 5px;text-align:center;vertical-align:top;word-break:normal">Washington DC</td></tr><tr><td style="border-color:inherit;border-style:solid;border-width:0px;font-family:Arial, sans-serif;font-size:14px;overflow:hidden;padding:10px 5px;text-align:left;vertical-align:top;word-break:normal">Yes</td><td style="border-color:inherit;border-style:solid;border-width:0px;font-family:Arial, sans-serif;font-size:14px;overflow:hidden;padding:10px 5px;text-align:center;vertical-align:top;word-break:normal">44</td><td style="border-color:inherit;border-style:solid;border-width:0px;font-family:Arial, sans-serif;font-size:14px;overflow:hidden;padding:10px 5px;text-align:center;vertical-align:top;word-break:normal">35</td><td style="border-color:inherit;border-style:solid;border-width:0px;font-family:Arial, sans-serif;font-size:14px;overflow:hidden;padding:10px 5px;text-align:center;vertical-align:top;word-break:normal">36</td><td style="border-style:solid;border-width:0px;font-family:Arial, sans-serif;font-size:14px;overflow:hidden;padding:10px 5px;text-align:center;vertical-align:top;word-break:normal">34</td></tr><tr><td style="border-color:inherit;border-style:solid;border-width:0px;font-family:Arial, sans-serif;font-size:14px;overflow:hidden;padding:10px 5px;text-align:left;vertical-align:top;word-break:normal">No</td><td style="border-color:inherit;border-style:solid;border-width:0px;font-family:Arial, sans-serif;font-size:14px;overflow:hidden;padding:10px 5px;text-align:center;vertical-align:top;word-break:normal">456</td><td style="border-color:inherit;border-style:solid;border-width:0px;font-family:Arial, sans-serif;font-size:14px;overflow:hidden;padding:10px 5px;text-align:center;vertical-align:top;word-break:normal">265</td><td style="border-color:inherit;border-style:solid;border-width:0px;font-family:Arial, sans-serif;font-size:14px;overflow:hidden;padding:10px 5px;text-align:center;vertical-align:top;word-break:normal">364</td><td style="border-style:solid;border-width:0px;font-family:Arial, sans-serif;font-size:14px;overflow:hidden;padding:10px 5px;text-align:center;vertical-align:top;word-break:normal">366</td></tr></tbody></table>
a. What is the estimate of the percentage of millionaires in each of these cities?
b. Using a .05 level of significance, test for the equality of the population proportion of
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