Suppose that you play the game, again, with two other friends separately with the following results:
Friend F chose rock 15 times out of 40 games.
Friend G chose rock 30 times out of 40 games.

Suppose that for each friend you want to test whether the long-run proportion that the friend will pick rock is more than 1/3. In which friend’s case (F or G) will you find a larger (more extreme) standardized statistic? Explain your reasoning, without actually calculating the standardized statistics.