Vasya Sidorov claims that he goes to the cinema twice as often as to the gym, and to the gym twice as often as to the theater. Over the past six months, he has been to the theater 10 times, to the gym 17 times and to the cinema 39 times. At the level significance of 5% check Vasya's statement.
Seems that theoretical means would be 20 and 40.
Seems that statement is true, if both substatement are true:
A) Goes to gym twice often than theatre
B) Goes to cinema 4 times often than in theater.
$n = 66$, then
answer Hypothesis test of two proportions where one proportion is k times the other one
I got that A and B are true, but I'm not doubt that my solution is right. I would be grateful for your help!