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.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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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.
Transcribed Image Text: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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