Within science PhDs, is there an association between gender and pursuing a mathematics PhD? MIT recorded enrollment for the Fall term of the 2015-2016 school year. The contingency table below shows the gender and field of study for doctoral students in MIT's School of Science.

	Mathematics	Other Field	Row Total
Women	23	367	390
Other Gender	101	639	740
Column Total	124	1006	1130

Find the test statistic and conclusion for theTest of Independenceat the 1% significance level. Use the table below for the critical value. (Use expected frequencies rounded to the nearest whole number.) df20.1020.0520.02520.0120.00512.7063.8415.0246.6357.87924.6055.9917.3789.21010.59736.2517.8159.34811.34512.83847.7799.48811.14313.27714.860

Select the correct answer below:

The test statistic 20=4.8.

Because the test statistic is less than the critical value, we do not reject the null hypothesis.

The test statistic 20=4.8.

Because the test statistic is less than the critical value, we reject the null hypothesis.

The test statistic 20=4.8.

Because the test statistic is greater than the critical value, werejectthe null hypothesis.

The test statistic 20=16.0.

Because the test statistic is greater than the critical value, werejectthe null hypothesis.

The test statistic 20=16.0.

Because the test statistic is greater than the critical value, wedo not rejectthe null hypothesis.

The test statistic 20=16.0.

Because the test statistic is less than the critical value, werejectthe null hypothesis.