Solve using Rstudio:

In a psychological experiment, a reported psychic tries to guess the suit of the cards of a well-shuffled stack of cards which includes many decks shuffled together. You may assume that the suit of each card in order is equally likely to be any one of the four suits and that the suits of the cards are independent of each other.

In guesses of the suits of 100 cards, the psychic correctly guesses the suit 29 times. Conduct a formal hypothesis test to examine the evidence that the psychic can guess the suit of the cards more often than expected. State a model, declare a test statistic, state hypotheses, calculate a one-sided p-value, and report the results in the context of the problem.