Colby has two marble collections, one where the primary color is red and the other where the primary color is blue. He is interested in the proportion of marbles that are large in each collection. Colby selects a random sample of marbles from each collection and counts the number that he considers as large. Of the 85red marbles Colby selected, 19 were large and 27 of the 92 blue marbles were large.
To test whether this result could be explained by random chance, Colby simulated 1,000 rerandomizations of the data for the difference found by subtracting the proportion of red marbles that are considered large from the proportion of blue marbles that are considered large. The table shows the results.
Difference Frequency
Less than −0.12 39
Greater than or equal to −0.12 and less than −0.07 97
Greater than or equal to −0.07 and less than 0.07 750
Greater than or equal to 0.07 and less than 0.12 87
Greater than or equal to 0.12 27
What proportion of rerandomizations had a difference greater than or equal to the difference in the sample proportions? Round to three decimal places.
A) 0.039
B) 0.087
C) 0.114
D) 0.027