The following questions are related. 1. Alicia observed “6 spots” 3 times out of

Question

The following questions are related.

1. Alicia observed “6 spots” 3 times out of 6 rolls of a six-sided die. Betty suggested that the die is biased towards “6 spots”. In order to quantitatively evaluate Betty’s suggestion, Alicia set up the null hypothesis that

i. P(“6 spots”) is more than 1/6.

ii. P(“6 spots”) is equal to 1/6.

iii. P(“6 spots”) is more than 3/6.

iv. P(“6 spots”) is equal to 3/6.

2. Which of the following choices has exactly those events that are equally or more extreme than the observed event?

i. Getting “6 spots” 1, 2, or 3 times

ii. Getting “6 spots” 0, 1, 2, or 3 times

iii. Getting “6 spots” 3, 4, 5, or 6 times

iv. Getting “6 spots” 4, 5, or 6 times

vi. Getting “6 spots” 3 times

Explain your answers!

Explanation / Answer

Using a 6-sided die, the usual Null hypothesis would be that P(“6 spots”) is equal to 1/6. Option (b).

However, the question is unclear. If you are testing Betty's suggestion, then you might be inclined to take as the Null hypothesis Option (a) : P(“6 spots”) is more than 1/6.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.