A guide for a "Pirates of the Caribbean" role-playing game lists the following percentages for the rarity items the players may collect when a "loot box" is opened. Item rarity Percentage Super rare 5% Rare 10% Uncommon 25% Common 60% Sarah thinks that the guide is wrong. To test her suspicions, she opens 80| loot boxes. Her results are shown in the table below Item rarity Frequency Super rare 3 Common 49 Rare Uncommon 24 Total 4 80 a) Calculate the expected frequency for each item. b) How many degrees of freedom are there in this test? c) Conduct a Chi-Squared test with a 1% level of significance to determine whether Sarah's suspicions are justified. USE A CRITICAL VALUE to make your decision

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
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A guide for a "Pirates of the Caribbean" role-playing game lists the following
percentages for the rarity items the players may collect when a "loot box" is opened.
Item rarity
Percentage
Super rare
5%
Rare
Uncommon
25%
Common
60%
10%
Sarah thinks that the guide is wrong. To test her suspicions, she opens 80| loot boxes.
Her results are shown in the table below
Item rarity
Frequency
Super rare
3
Rare
Uncommon
Common
Total
4
24
49
80
a) Calculate the expected frequency for each item.
b) How many degrees of freedom are there in this test?
c) Conduct a Chi-Squared test with a 1% level of significance to determine whether
Sarah's suspicions are justified. USE A CRITICAL VALUE to make your decision
Transcribed Image Text:A guide for a "Pirates of the Caribbean" role-playing game lists the following percentages for the rarity items the players may collect when a "loot box" is opened. Item rarity Percentage Super rare 5% Rare Uncommon 25% Common 60% 10% Sarah thinks that the guide is wrong. To test her suspicions, she opens 80| loot boxes. Her results are shown in the table below Item rarity Frequency Super rare 3 Rare Uncommon Common Total 4 24 49 80 a) Calculate the expected frequency for each item. b) How many degrees of freedom are there in this test? c) Conduct a Chi-Squared test with a 1% level of significance to determine whether Sarah's suspicions are justified. USE A CRITICAL VALUE to make your decision
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