An Office of Admission document claims that 552 of undergrad

An Office of Admission document claims that 55.2% of undergraduates are female. To test this claim, a random sample of 200 undergraduates was selected. In this sample, 53.9% were female. Is there sufficient evidence to conclude that the document\'s claim is wrong? Carry out a hypothesis test at a 1% significance level.

A. The value of the standardized test statistic:

B. The p-value is:

Solution

A. The value of the standardized test statistic:

Z=(phat-p)/sqrt(p*(1-p)/n)

=(0.539-0.552)/sqrt(0.552*(1-0.552)/200)

=-0.37

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B. The p-value is:

It is a two-tailed test.

The p-value= 2*P(Z<-0.37) = 0.7114 (from standard normal table)