Q1) The next two questions refer to the following information: Students in a dis

Question

Q1)

The next two questions refer to the following information: Students in a discussion of gun control in a sociology class at Foothill Community College argue that Republicans are more likely to oppose gun control than Independents. They use data from an article titled “Gun Control Splits America,” published March 23, 2010 in pewresarch.org by the Pew Research Center for the People and the Press. In this study 62% of Republicans and 57% of Independents say that states should not be able to pass laws banning handguns. IncorrectQuestion 2 0 / 1 pts For a claim that a larger proportion of Republicans oppose state laws banning handguns when compared to Independents, the null and alternative hypotheses are The P-value is 0.06. If we conduct this test at a 5% level of significance, what would be an appropriate conclusion?

A) Reject H0, and support Ha . B) Fail to Reject H0 , do not support Ha . C) None of these.

Q2)

The article states that researchers collected data from 1,500 adults nationwide reached on landlines and cell phones.

Which of the following issues will invalidate the conclusion of the hypothesis test?

A) The data is not a random sample.

B) Researchers interviewed more Republicans than Independents.

C) The data comes from only 1,500 adults nationwide when there are nearly 309 million adults in the U.S.

Explanation / Answer

Solution:

Let P1 be the proportion of republicans opposing the state law banning handguns and

P2 be the proportion of independents opposing the state law banning handguns

Null Hypothesis: Ho : P1=P2 i.e. there is no significant difference b/w opinions of repulicans and independents regarding state law

Alternative Hypothesis: Ha: P1>P2 i.e. larger proportion of Republicans oppose state law as compared to independents

Given,

(Q1.) p-value =0.06, L.o.S( level of significance)=0.05

We know that if p-value <= L.o.S, we reject null hypothesis, but in this case p-value>L.o.S, we fail to reject null hypothesis.

Therefore, correct option is (B) Fail to Reject Ho , do not support Ha

(Q2.) Answer to this is (A) The data is not a random sample.

Reason : Whenever a statistical analysis is performed, basically hypothesis testing to infer something about a population, the sample that is collected should always be random otherwise result that will be produced will be biased.

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