Question

A six-sided die is rolled 120 times. Fill in the expected frequency column. Then, conduct a hypothesis test at the 5% level to determine if the die is fair. The data below are the result of the 120 rolls. (Enter exact numbers as integers, fractions, or decimals.) Face Value | Frequency | Expected Frequency 1 | 15 | 20 2 | 30 | 20 3 | 16 | 20 4 | 14 | 20 5 | 31 | 20 6 | 14 | 20 Part (a) State the null hypothesis. The data fit the distribution for a fair six-sided die. The data do not fit the distribution for a fair six-sided die. Part (b) State the alternative hypothesis. The data do not fit the distribution for a fair six-sided die. The data fit the distribution for a fair six-sided die.

          A six-sided die is rolled 120 times. Fill in the expected frequency column. Then, conduct a hypothesis test at the 5% level to determine if the die is fair. The data below are the result of the 120 rolls. (Enter exact numbers as integers, fractions, or decimals.)

Face Value | Frequency | Expected Frequency
1 | 15 | 20
2 | 30 | 20
3 | 16 | 20
4 | 14 | 20
5 | 31 | 20
6 | 14 | 20

Part (a)
State the null hypothesis.
The data fit the distribution for a fair six-sided die.
The data do not fit the distribution for a fair six-sided die.

Part (b)
State the alternative hypothesis.
The data do not fit the distribution for a fair six-sided die.
The data fit the distribution for a fair six-sided die.

Show more…

$A six-sided die is rolled 120 times. Fill in the expected frequency column. Then, conduct a hypothesis test at the 5% level to determine if the die is fair. The data below are the result of the 120 rolls. (Enter exact numbers as integers, fractions, or decimals.) Face Value | Frequency | Expected Frequency 1 | 15 | 20 2 | 30 | 20 3 | 16 | 20 4 | 14 | 20 5 | 31 | 20 6 | 14 | 20 Part (a) State the null hypothesis. The data fit the distribution for a fair six-sided die. The data do not fit the distribution for a fair six-sided die. Part (b) State the alternative hypothesis. The data do not fit the distribution for a fair six-sided die. The data fit the distribution for a fair six-sided die.$

Added by Alejandro C.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Madhur L

03/28/2023

Step 1

Since it's a fair six-sided die, the probability of each face value is 1/6. We rolled the die 120 times, so the expected frequency for each face value is (1/6) * 120 = 20. Now, let's set up the null hypothesis (H0) and the alternative hypothesis (H1). H0: The Show more…

Show all steps

lock

Thanks for your feedback!

Play audio

Feedback

Powered by NumerAI

Madhur L and 91 other subject Intro Stats / AP Statistics educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Recommended Videos

Recommended Textbooks

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later