Some of the deadliest mass shootings in U.S. history occurred in 2012. These eve

Question

Some of the deadliest mass shootings in U.S. history occurred in 2012. These events led to many calls for stricter national gun control. On December 27, 2012, the Gallup organization reported that roughly 600 of 1038 American adults surveyed said they would be in favor of strengthening laws covering the sale of firearms. Does this provide strong evidence for concluding that more than 50% of the population of American adults was in favor of making laws covering the sale of firearms more strict? Conduct an appropriate test of hypotheses using a.01 significance level. This poll was conducted December 19-22, just days after a mass shooting at an elementary school in Connecticut. Discuss what effects this event may have had on the poll's outcome.

Explanation / Answer

a) State the hypotheses.

H0:p=0.5

H1: p>0.5

Test statistic:

From information, Ps=600/1035=0.5797

z=(Ps-Pu)/sqrt [Pu(1-Pu)/N]=(0.5797-0.5)/sqrt[(0.5*0.5)/1035]=5.13

The p value is 0.0000. The p value is less than 0.01. Reject null hypothesis to conclude that more than 50% population of American adults was in favour of making sale of fire arms more strict.

b) This would adverse effect as many persons would consider the outcome to be manipulated one.

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