Question

liberal is 76

According to a poling organisation, 24% of adults in a large region consider themselves to be beral A survey asked 200 respondents to discese their political philosophy Conservative, Liberal Moderate Treat the results of the survey as a random sample of dates in this region Do the survey results suggest the proportion is higher than that reported by the poling organisation Use an a=005 level of significance Click the icon to view the survey results Becane (1-6) 365 10 the sample skets Wess than 5% of the population stre, and the sample is given to be random the requirements for testing the hypothesis are satisfied (Round to decimal place needed) Idently the ruland alternative poses for this est. Lup represent the population proportion of adults in this region who consider themselves to be liberal нар yo versus, D024 (Typeinfegers or decimals. Do not round) Find the best stars for this hypothesis to 20-461 Round to two decimal places as needed) Determine the value for this hypothesis tot P-value Rund to the decimal places as needed

Answer 1

Po Given that n=200, Hypothetical mean = 0.29 proportion. Sample-proporsion : 76 20.38. C 220.05. Now nobel l-bo) = 200 x. 0.24 x 0.76 36.5 200 Because mbo(1-5) 36.5 -> 10, the sample sizes less than 5% of the population size, and the sample is given to be random the requirments for test the hypothesis are satisfied. Null hypothesis Ho :-proportion is equal to reported by the polling organization Alternative hypothesis He'n proportion is higher than that reported by the polling long triation. Hope 0-24 His p20.24 that test, statistic Zot b Po Po(1-bo). n 0.38-0.24 0.24(1-0.24) Zo s 200 Zon 4.64

right taided = 0.006 P-value for 2. - 4.64 for test from p-value table P-value 6.0oo ho.05 Since p-value is less than level of significance therefore Reject to. There is is sufficient evidence at the x=0.05 level of signific conclude that the proportion is higher than that reported by anization ce to the palling org