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11) You roll a die 48 times with the following results.
Number 1 2 3 4 5 6
Frequency 2 3 1 15 13 14
Do the data provide sufficient evidence to conclude that the die is loaded (i.e., that the six numbers are not equally likely)? State the null and alternative hypothesis that would be used to conduct this test of hypothesis.
A) H0: p1 = 2, p2 = 3, ... , p6 = 14
Ha: At least one of the above proportions is significantly different from the others.
B) H0: The die is loaded(not all numbers occur with equal frequency).
Ha: The die is fair.
C) H0: p1= p2= ... = p6
Ha: At least one of the above proportions is significantly different from the others.
D) H0: p1 = 2, p2 = 3, ... , p6 = 14
Ha: The die is loaded.
C) H0: p1= p2= ... = p6
Ha: At least one of the above proportions is significantly different from the others.