Have you ever played rock-paper-scissors (or Rochambeau)? It’s considered a “fair game” in that the two players are equally likely to win (like a coin toss)

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Have you ever played rock-paper-scissors (or Rochambeau)? It’s considered a “fair game” in that the two players are equally likely to win (like a coin toss). Both players simultaneously display one of three hand gestures (rock, paper, or scissors), and the objective is to display a gesture that defeats that of your opponent. The main gist is that rocks break scissors, scissors cut paper, and paper covers rock, which explored players’ choices in the game rock-paper-scissors.
Suppose that you play the game with three different friends separately with the following results: Friend A chose scissors 100 times out of 400 games, Friend B chose scissors 20 times out of 120 games, and Friend C chose scissors 65 times out of 300 games. Suppose that for each friend you want to test whether the long-run proportion that the friend will pick scissors is less than 1/3.

1) Select the appropriate standardized statistics for each friend from the null distribution produced by applet.

-3.47 (100 out of 400; 25%), -4.17 (20 out of 120; 16.7%), -3.80 (65 out of 300; 21.7%)

-3.80 (100 out of 400; 25%), -3.47 (20 out of 120; 16.7%), -4.17 (65 out of 300; 21.7%)

-3.47 (100 out of 400; 25%), -3.80 (20 out of 120; 16.7%), -4.17 (65 out of 300; 21.7%)

-4.17 (100 out of 400; 25%), -3.80 (20 out of 120; 16.7%), -3.47 (65 out of 300; 21.7%)

2)Select the strongest and least strong evidence of the long-run proportion that the friend will choose scissors is less than 1/3.

a)The strongest evidence is

65 out of 300

100 out of 400

20 out of 120

b) The least strong evidence is ?

20 out of 120

65 out of 300

100 out of 400