Question

A Gallup survey conducted April 2–11, 2018, found that 152 out of 1015 American adults mentioned immigration/illegal aliens as the most important problem facing the nation. An earlier survey conducted in February 2011 found that 108 out of 978 American adults mentioned immigration/illegal aliens as the most important problem facing the nation. Can we conclude that the percentage of all American adults who believed that immigration/illegal aliens was the most important problem facing the nation was increased in 2018 compared to that in 2011? - one tailed test - Ho and H1 hypothesis - test statistic and p-value - what is your conclusion?

Answer 1

Solution. Given P,= ar n 2,3152 ni=1052 201444 P2=22 N2=108 201104 no 12=978 Hypothesis :- Test Ho: P = P2 Hai Pi>P2. Test À - statistics!- Za PiCibi). P261-P2) + nu ne Z= 0.1444 -0.1104 0.144461-0-1444) 0.110411-04:04) t 978: 1052 2=2-3032 At Z=2 3032, Pvalue: osing lipvalue pvalue = 0.0106 7 distribution right tail let x=0.01 pvalue = 0.01 Conclusion: There is fail to deject Ho. no sufficient evidence to support the claim.