The numbers of online applications from simple random samples of college applications for 2004 and for the 2009 were taken. In 2004, out of 482 applications, 202 of them were completed online. In...

The numbers of online applications from simple random samples of college applications for 2004 and for the 2009 were taken. In 2004, out of 482 applications, 202 of them were completed online. In 2009, out of 324 applications, 175 of them were completed online. Test the claim that the proportion of online applications in 2004 was equal to the proportion of online applications in 2009 at the .01 significance level.


Claim: Select an answer p 1 > p 2 u 1≠u 2 u 1 = u 2 u 1 ≥ u 2 p 1≠p 2 p 1 ≥ p 2 u 1 < u="" 2 p="" 1="">< p="" 2 p="" 1="" ≤="" p="" 2 p="" 1="p" 2 u="" 1=""> u 2 u 1 ≤ u 2  which corresponds to Select an answer H1: u 1 < u="" 2 h1:="" p="" 1=""> p 2 H0: u 1 ≤ u 2 H1: u 1≠u 2 H0: p 1 = p 2 H1: p 1 < p="" 2 h0:="" p="" 1="" ≤="" p="" 2 h1:="" p="" 1≠p="" 2 h0:="" p="" 1≠p="" 2 h1:="" u="" 1=""> u 2


Opposite: Select an answer p 1 < p="" 2 u="" 1="">< u="" 2 u="" 1="">< u="" 2 p="" 1="p" 2 u="" 1="u" 2 u="" 1=""> u 2 p 1 ≤ p 2 u 1 ≤ u 2 p 1 > p 2 p 1 ≥ p 2 u 1 ≠ u 2 p 1≠p 2  which corresponds to Select an answer H1: p 1 < p="" 2 h0:="" u="" 1≠u="" 2 h1:="" u="" 1=""><= u="" 2 h0:="" p="" 1≠p="" 2 h0:="" p="" 1="p" 2 h1:="" u="" 1="u" 2 h0:="" p="" 1="" ≤="" p="" 2 h1:="" p="" 1=""> p 2 H1: p 1≠p 2 H0: u 1 > u 2 H1: u 1 ≥ u 2




The test is: Select an answer two-tailed right-tailed left-tailed


The test statistic is: zz =  (to 2 decimals)


The critical value is: zz =  (to 2 decimals)


Based on this we: Select an answer Accept the null hypothesis Reject the null hypothesis Fail to reject 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 2004 was equal to the proportion of online applications in 2009.