Solve given Inferences involving two populations Inference about two Population Proportions: Independent Samples: A government housing agency is comparing home ownership rates among several immigrant groups. In a sample of 235 families who emigrated to the U.S. from Eastern Europe five years ago, 165 now own homes. In a sample of 195 families who emigrated to the U.S. from Pacific islands five years ago, 125 now own homes.

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Solve given Inferences involving two populations Inference about two Population Proportions:  Independent Samples:  A government housing agency is comparing home ownership rates among several immigrant groups. In a sample of 235 families who emigrated to the U.S. from Eastern Europe five years ago, 165 now own homes. In a sample of 195 families who emigrated to the U.S. from Pacific islands five years ago, 125 now own homes.

Layton · Accepted Answer

p1: Proportion of families who emigrated to the U.S. from Eastern Europe five years ago p2: Proportion of families who emigrated to the U.S. from Pacific islands five years ago Null hypothesis: H0:p1=p2 Sample 1: emigrated to the U.S. from Eastern Europe five years ago Number families who emigrated to the U.S. from Eastern Europe five years ago: n1=235 Number families who now own homes: x1=165 Proportion of families who emigrated to the U.S. from Eastern Europe five years ago :small widep^1=0.7021 Sample 2: emigrated to the U.S. from Pacific islands five years ago Number families who emigrated to the U.S. from Pacific islands five years ago: n2=195 Number families who now own homes: x2=125 Sample proportion of families who emigrated to the U.S. from Pacific islands five years ago: small widep^2=125195=0.641 Test Statistic: Z=p^1 − p^2p^1 (1−p^1)n1 + p^2 (1−p^2)n2 Test Statistic: Z=0.7021 − 0.6410.7021(1−0.7021)235 + 0.641(1−0.641)195 = 0.06110.0455 = 1.3429 For two failed test: P−Value = P(Z &amp;lt; −Zstat) + P(Z &amp;gt; Zstat) =2× P(Z&amp;lt;−1.3429)=2× 0.0897=0.1794 p-value = 0.1794 α = 0.05 As P-Value i.e. is greater than Level of significance i.e (P−value:0.1794&amp;gt;0.01:Level of significance), Fail to Reject Null Hypothesis There is not sufficient evidence to conclude that there is a significant difference in home ownership rates in the two groups of immigrants.

Solve given Inferences involving two populations Inference about two Population Proportions: Independent Samples: A government housing agency is compa

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