Question

The numbers of online applications from simple random samples of college applications for 2004 and for the 2008 were taken. In 2004, out of 554 applications, 233 of them were completed online. In 2008, out of 263 applications, 174 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 2008 at the 0.005 significance level.\ Claim: $p_1 = p_2$ which corresponds to $H_1: p_1 < p_2$ \(\times) $H_0: p_1 = p_2$\ Opposite: $p_1 \neq p_2$ which corresponds to $H_0: \mu_1 \leq \mu_2$ \(\times) $H_1: p_1 \neq p_2$\ The test is: left-tailed\ The test statistic is: $z = $ (to 2 decimals)\ The critical value is: $z = $ (to 2 decimals)\ Based on this we: Reject the null hypothesis\ Conclusion There does 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 2008.

          The numbers of online applications from simple random samples of college applications for 2004 and for the 2008 were taken. In 2004, out of 554 applications, 233 of them were completed online. In 2008, out of 263 applications, 174 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 2008 at the 0.005 significance level.\
Claim: $p_1 = p_2$ which corresponds to $H_1: p_1 < p_2$ \(\times) $H_0: p_1 = p_2$\
Opposite: $p_1 \neq p_2$ which corresponds to $H_0: \mu_1 \leq \mu_2$ \(\times) $H_1: p_1 \neq p_2$\
The test is: left-tailed\
The test statistic is: $z = $ (to 2 decimals)\
The critical value is: $z = $ (to 2 decimals)\
Based on this we: Reject the null hypothesis\
Conclusion There does 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 2008.

The numbers of online applications from simple random samples of college applications for 2004 and for the 2008 were taken. In 2004, out of 554 applications, 233 of them were completed online. In 2008, out of 263 applications, 174 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 2008 at the 0.005 significance level.Claim: p1 = p2 which corresponds to H1: p1 < p2 ×) H0: p1 = p2Opposite: p1 ≠ p2 which corresponds to H0: μ1 ≤μ2×) H1: p1 ≠ p2The test is: left-tailedThe test statistic is: z = (to 2 decimals)The critical value is: z = (to 2 decimals)Based on this we: Reject the null hypothesisConclusion There does 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 2008.

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