After losing a game with friends, Alice suspects that the die which was used was not fair. She suspects th the probability of "1" appearing is not 1/6 and she decides to test this by rolling the die 300 times using a level of significance of 5%. a) Formulate an appropriate null and alternative hypotheses for Alice to use. b) After rolling the die 300 times, she noticed that "1" appeared 38 times. Use the appropriate formula/te and compute the value of the test statistic as well as the corresponding p-value. c) Should Alice reject the null hypothesis? Use a 0.05 level of significance.

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