2. The Pew Research Center conducted a survey of a random sample of 1,525 regist

Question

2. The Pew Research Center conducted a survey of a random sample of 1,525 registered voters in January 7-14, 2016. Voters were asked about their views of the presidential candidates. For each candidate, they were asked “If (candidate) were to become president do you think (he/she) would be a great, good, average, poor, or terrible president?” 11% of voters said Hillary Clinton would be a great president. 11% of voters said Donald Trump would be a great president (same percent as Hillary).1 For the remainder of this question you may choose to refer to Clinton, Trump, or just “the candidate” in your answers. Research question: Is there evidence that the population proportion of registered voters in January 7-14, 2016 that would respond that the candidate would be a great president is more than 0.09?

a) Conduct a hypothesis test to answer the research question. Make to show all steps including your hypothesis statements, conditions, test statistic, p-value (include screenshot from applet), decision (Reject H0 or Fail to Reject H0 with your reason why), and conclusion (explicitly referring to the population parameter in this context). Use an alpha level of 0.05.

Explanation / Answer

Ho : p = 0.09

H1 : p > 0.09

Z = 0.11 - 0.09 / srqt ( 0.09*0.91 / 1525 )

Z = 2.73

p value : 0.00317

for alpha = 0.05 we reject Ho becaus ep value is lower than significance leve

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