An Office of Admission document claims that 553 of WWU under

An Office of Admission document claims that 55.3% of WWU undergraduates are female. To test this claim, a random sample of 225 WWU undergraduates was selected. In this sample. 56.7% were female. Is there sufficient evidence to conclude that the document\'s claim is false? Carry out a hypothesis test at a 4% significance level. The value of the test statistic is The rejection region for the test statistic is: The p-value is: Your decision for the hypothesis test:

Solution

Null Hypothesis: Proportion of WWU graduates that are female is 55.3%

Alt Hypothesis: Proportion of WWU graduates that are female is not 55.3%

Sample size n =225

Std Deviation: sqrt[p * (1 - p)/n] = sqrt[0.5553 * (1 - 0.553)/225] = 0.03

Test Stat = (Sample proportion - test proportion)/std dev = (0.567 - 0.553)/0.03 = 0.42238

alpha = 0.04

Critical z value = + 2.05

Rejection Region = ( -infinity , -2.05) U (2.05, + infinity)

p value = 0.040

Decision : Fail to reject the nulll hypothesis since p value > 0.04

Do not reject the Null Hypothesis