Use the data below to produce a differences of means test of the null hypothesis that there is no relationship between gender and political knowledge. Show all of your work. (Critical t-score will be provided)

N=100

The mean of the political knowledge variable for female respondents= 0.45 (Y1)

The mean of the political knowledge variable for male respondents = 0.55 (Y2)

Standard deviation of the political knowledge variable for female respondents = 0.23 (s1)

Standard deviation of the political knowledge variable for male respondents = 0.23 (s2)