The Marshall Scholarship is a postgraduate scholarship available to U.S. students for study at any university in the United Kingdom. When a student applies, and is endorsed by their college, they select which U.K. university they'd prefer to study at. Do students selected for the Marshall scholarship have different U.K. university preferences than students who were endorsed by their colleges but not selected? The data are recorded in the contingency table below.

Find the test statistic for a chi-squareHomogeneity Testand make a conclusionat the 5% significance level. Use the portion of the 2-table below for the critical value.(Use expected frequencies that are also rounded to one decimal place.)

	University of Oxford	University of London	Other	Row Total
Selected	47	56	55	158
Endorsed but not Selected	206	212	340	758
Column Total	253	268	395	916

Determine the critical value using the following portion of the 2-table.

df20.1020.0520.02520.0120.00512.7063.8415.0246.6357.87924.6055.9917.3789.21010.59736.2517.8159.34811.34512.83847.7799.48811.14313.27714.86059.23611.07012.83315.08616.750

Select the correct answer below:

The test statistic is 20=10.3.

The test statistic is greater than the critical value, so werejectthe null hypothesis.There is not sufficient evidence to conclude that the distributions are different.

The test statistic is 20=5.9.

The test statistic is less than the critical value, so we do not rejectthe null hypothesis. There is not sufficient evidence to conclude that the distributions are different.

The test statistic is 20=10.3.

The test statistic is greater than the critical value, so we do notrejectthe null hypothesis.There is not sufficient evidence to conclude that the distributions are different.

The test statistic is 20=4.8.

The test statistic is less than the critical value, so wedo not rejectthe null hypothesis.There is not sufficient evidence to conclude that the distributions are different.

The test statistic is 20=5.9.

The test statistic is greater than the critical value, so we rejectthe null hypothesis.There is not sufficient evidence to conclude that the distributions are different.

The test statistic is 20=4.8.

The test statistic is greater than the critical value, so werejectthe null hypothesis.There is sufficient evidence to conclude that the distributions are different.