The Pew Research Center has reported results of many studies highlighting political topics and potential public policy. For example, when Gallup first surveyed public opinion about the legalization of marijuana in 1969, only 12% of the public favored legalization. A more recent survey from March 2016 showed 53% of the public favoring legalization of marijuana.To examine potential generational differences in the proportions who favor the legalization of marijuana, researchers randomly surveyed groups of Baby Boomers (those born between 1946 and 1964) and Millennials (those born from 1981 to 1997) asking the following question: "Do you support the legalization of marijuana for medical and recreational use in the United States?"The data were as follows. YesNoTotalBaby Boomers (population 1)312293605Millennials (population 2)349286635 (a)State the appropriate null and alternative hypotheses.H0: p1 ? ≠p2Ha: p1 ? ≠p2(b)Find the value of p̂1 and p̂2. (Enter your answers as fractions.)p̂1=p̂2=(c)Calculate the test statistic. (Round your answer to two decimal places.) (d)Based on ? = 0.05, what is the appropriate conclusion for the hypothesis test? (Use a table or SALT.)Accept the null hypothesis.Reject the null hypothesis. Fail to reject the null hypothesis.Fail to accept the null hypothesis. The Pew Research Center has reported results of many studies highlighting political topics and potential public policy. For example, when Gallup first surveyed public opinion about the legalization of marijuana in 1969, only 12% of thepublic favored legalization. A more recent survey from March 2016 showed 53% of the public favoring legalization of marijuana.To examine potential generational differences in the proportions who favor the legalization of marijuana, researchers randomly surveyed groups of Baby Boomers (those born between 1946 and 1964) and Millennials (those born from1981 to 1997) asking the following question: "Do you support the legalization of marijuana for medical and recreational use in the United States?"The data were as follows.YesNoTotalBaby Boomers (population 1)312293605Millennials (population 2)349286635In USE SALT(a) State the appropriate null and alternative hypotheses.Ho: P, ? vP2? VP2(b) Find the value of p, and p,. (Enter your answers as fractions.)1P 1P2%D(c) Calculate the test statistic. (Round your answer to two decimal places.)(d) Based on a = 0.05, what is the appropriate conclusion for the hypothesis test? (Use a table or SALT.)Accept the null hypothesis.Reject the null hypothesis.Fail to reject the null hypothesis.O Fail to accept the null hypothesis.O O

Name: The Pew Research Center has reported results of many studies highlight
Uploaded: 2024-03-20T07:07:12.000Z
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Description: The Pew Research Center has reported results of many studies highlighting political topics and potential public policy. For example, when Gallup first surveyed public opinion about the legalization of marijuana in 1969, only 12% of the public favored

Question

The Pew Research Center has reported results of many studies highlighting political topics and potential public policy. For example, when Gallup first surveyed public opinion about the legalization of marijuana in 1969, only 12% of the public favored legalization. A more recent survey from March 2016 showed 53% of the public favoring legalization of marijuana.To examine potential generational differences in the proportions who favor the legalization of marijuana, researchers randomly surveyed groups of Baby Boomers (those born between 1946 and 1964) and Millennials (those born from 1981 to 1997) asking the following question: "Do you support the legalization of marijuana for medical and recreational use in the United States?"The data were as follows. YesNoTotalBaby Boomers (population 1)312293605Millennials (population 2)349286635 (a)State the appropriate null and alternative hypotheses.H0: p1 ? < = > ≠p2Ha: p1 ? < = > ≠p2(b)Find the value of p̂1 and p̂2. (Enter your answers as fractions.)p̂1=p̂2=(c)Calculate the test statistic. (Round your answer to two decimal places.) (d)Based on ? = 0.05, what is the appropriate conclusion for the hypothesis test? (Use a table or SALT.)Accept the null hypothesis.Reject the null hypothesis. Fail to reject the null hypothesis.Fail to accept the null hypothesis. The Pew Research Center has reported results of many studies highlighting political topics and potential public policy. For example, when Gallup first surveyed public opinion about the legalization of marijuana in 1969, only 12% of thepublic favored legalization. A more recent survey from March 2016 showed 53% of the public favoring legalization of marijuana.To examine potential generational differences in the proportions who favor the legalization of marijuana, researchers randomly surveyed groups of Baby Boomers (those born between 1946 and 1964) and Millennials (those born from1981 to 1997) asking the following question: "Do you support the legalization of marijuana for medical and recreational use in the United States?"The data were as follows.YesNoTotalBaby Boomers (population 1)312293605Millennials (population 2)349286635In USE SALT(a) State the appropriate null and alternative hypotheses.Ho: P, ? vP2? VP2(b) Find the value of p, and p,. (Enter your answers as fractions.)1P 1P2%D(c) Calculate the test statistic. (Round your answer to two decimal places.)(d) Based on a = 0.05, what is the appropriate conclusion for the hypothesis test? (Use a table or SALT.)Accept the null hypothesis.Reject the null hypothesis.Fail to reject the null hypothesis.O Fail to accept the null hypothesis.O O

Accepted Answer

Given Information:
Sample 1: 
Sample size (n1) = 605
Out of which X = 312 said yes supporting the…

	Yes	No	Total
Baby Boomers (population 1)	312	293	605
Millennials (population 2)	349	286	635