hypothesis testing for 2 unequal vectors of proportions

I need some statistical advice. I have 2 vectors of proportions ( all values between 0 and 1 ) of an item in a sample. For example : Vector1 has 20 observations and vector2 has 28 observations. I want to be able to test for statistical significance between these 2 vectors and want to be able to tell if the proportion of said item is more in vector1 vs vector2 or vice versa.

Example data :

vector1     
0.876
0.789
0.776
0.678
0.780
0.654
0.765


vector2 
0.345
0.432
0.235
0.431
0.023
0.134
0.223
0.211

Please let me know if you have any suggestions.

Thanks in advance!