The numbers of online applications from simple random samples of college applications for 2003 and for the 2008 were taken. In 2003, out of 512 applications, 184 of them were completed online. In 2008, out of 775 applications, 411 of them were completed online. Test the claim that the proportion of online applications in 2003 was less than the proportion of online applications in 2008 at the .025 significance level. Claim: Select an answer p 1 < p 2 p 1 > p 2 p 1p 2 p 1 p 2 p 1 p 2 p 1 = p 2 u 1 < u 2 u 1 > u 2 u 1u 2 u 1 u 2 u 1 u 2 u 1 = u 2 which corresponds to Select an answer H1: p 1 < p 2 H1: p 1 > p 2 H1: p 1p 2 H0: p 1 = p 2 H0: p 1p 2 H0: p 1 p 2 H0: u 1 u 2 H1: u 1 < u 2 H1: u 1 > u 2 H1: u 1u 2 Opposite: Select an answer p 1 p 2 p 1 p 2 p 1 = p 2 p 1 > p 2 p 1 < p 2 p 1p 2 u 1 < u 2 u 1 u 2 u 1 = u 2 u 1 > u 2 u 1 < u 2 u 1 u 2 which corresponds to Select an answer H1: p 1 > p 2 H1: p 1 < p 2 H1: p 1 p 2 H0: p 1 = p 2 H0: p 1p 2 H0: p 1 p 2 H0: u 1 > u 2 H0: u 1u 2 H1: u 1 u 2 H1: u 1 u 2 H1: u 1 = u 2 H0: p 1 p 2 The test is: Select an answer left-tailed right-tailed two-tailed The test statistic is: zz = (to 2 decimals) The critical value is: zz = (to 2 decimals) Based on this we: Select an answer Reject the null hypothesis Fail to reject the null hypothesis Accept the null hypothesis Cannot determine anything Conclusion There Select an answer does does not appear to be enough evidence to support the claim that the proportion of online applications in 2003 was less than the proportion of online applications in 2008.