Suppose two brothers named mario and luigi liketo compete by playing a certain video game. mario thinks heis better at this game than luigi and sets out to prove it bykeeping track of who wins. after playing the game 30 times, mario won 18 of them (or 60%). mario then declares thatthis proves he is obviously the better player. luigi, who justfinished chapter 1 in his statistics class, realizes that perhapshe and his brother are evenly matched and just by chancemario won 60% of the last 30 games. luigi is going to testthis by running a test of significance. a. describe what the parameter is that luigi should be testing. b. state the appropriate null and alternative hypotheses inthe context of this study. (hint: luigi likes two-sided testsbecause he knows that will make it harder to get strongevidence that his brother is better.)c. using an appropriate applet, fi nd the p-value usinga theory-based test (one-proportion z-test; normalapproximation).d. summarize your conclusion from your p-value. e. the p-value you found in part (c) should have beengreater than 0.05. suppose the two brothers continue tocompete and mario continues to win 60% of the games. how many games will they have to play until he gets ap-value less than 0.05 after retesting?