A news article that you read stated that 51% of voters prefer the Democratic candidate. You think that the actual percen
Posted: Thu Jul 14, 2022 4:51 pm
A news article that you read stated that 51% of voters preferthe Democratic candidate. You think that the actual percent isdifferent. 117 of the 238 voters that you surveyed said that theyprefer the Democratic candidate. What can be concluded at the 0.10level of significance? For this study, we should use Select ananswer The null and alternative hypotheses would be: Ho: ? Selectan answer (please enter a decimal) H1: ? Select an answer (Pleaseenter a decimal) The test statistic ? = (please show your answer to3 decimal places.) The p-value = (Please show your answer to 4decimal places.) The p-value is ? α Based on this, we should Selectan answer the null hypothesis. Thus, the final conclusion is that... The data suggest the population proportion is not significantlydifferent 51% at α = 0.10, so there is not sufficient evidence toconclude that the proportion of voters who prefer the Democraticcandidate is different 51%. The data suggest the populationproportion is not significantly different 51% at α = 0.10, so thereis sufficient evidence to conclude that the proportion of voterswho prefer the Democratic candidate is equal to 51%. The datasuggest the populaton proportion is significantly different 51% atα = 0.10, so there is sufficient evidence to conclude that theproportion of voters who prefer the Democratic candidate isdifferent 51% Interpret the p-value in the context of the study. Ifthe sample proportion of voters who prefer the Democratic candidateis 49% and if another 238 voters are surveyed then there would be a57% chance that we would conclude either fewer than 51% of allvoters prefer the Democratic candidate or more than 51% of allvoters prefer the Democratic candidate. There is a 57% chance of aType I error. There is a 57% chance that the percent of all voterswho prefer the Democratic candidate differs from 51%. If thepopulation proportion of voters who prefer the Democratic candidateis 51% and if another 238 voters are surveyed then there would be a57% chance that either fewer than 49% of the 238 voters surveyedprefer the Democratic candidate or more than 53% of the 238 voterssurveyed prefer the Democratic candidate. Interpret the level ofsignificance in the context of the study. If the populationproportion of voters who prefer the Democratic candidate is 51% andif another 238 voters are surveyed then there would be a 10% chancethat we would end up falsely concluding that the proportion ofvoters who prefer the Democratic candidate is different 51% If theproportion of voters who prefer the Democratic candidate isdifferent 51% and if another 238 voters are surveyed then therewould be a 10% chance that we would end up falsely concluding thatthe proportion of voters who prefer the Democratic candidate isequal to 51%. There is a 10% chance that the proportion of voterswho prefer the Democratic candidate is different 51%. There is a10% chance that the earth is flat and we never actually sent a manto the moon.