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In a random sample of 1022 U.S. adults, 480 think that the U.S. government is doing...

In a random sample of 1022 U.S. adults, 480 think that the U.S. government is doing too little to protect the environment. In another random sample of 1008 U.S. adults taken 10 years ago, 514 think that the U.S. government is doing too little to protect the environment. At a=0.10, can you reject the claim that the proportion of U.S. adults who think that the U.S. government is doing too little to protect the environment has not changes?

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null Hypothesis alternate Hypothesis: Ho: P1-P2 0.0000 Ha P1-P2 0.0000 for 0.1 level with two tailed test, critical value of Decision rule 1.645 reject Ho if absolute value of test statistic Izl >1.645 first sample 480 0.4697 1022 second sample 514 0.5099 1008 0.0403 0.4897 estimated difference in proportion estimator of pooled proportion p =(X1+X2)/(n-m2) p,-Pz std error Se- 0.0222 test statz- (p1-p2)/Se

as test statistic is in critical region ; we reject null hypothesis and conclude that proportion of U.S. adults who think that the U.S. government is doing too little to protect the environment has changed

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