Assignment:
Question 1. A medical researchers claims that 20% of children suffer from a certain disorder. Identify the Type I error for the test.
(a) Fail to reject the claim that the percentage of children who suffer from the disorder is equal to 20% when the percentage is actually 20%
(b) Reject the claim that the percentage of children who suffer from the disorder is different from 20% when the percentage really is different from 20%
(c) Fail to reject the claim that the percentage of children who suffer from the disorder is equal to 20% when that percentage is actually different from 20%.
(d) Reject the claim that the percentage of children who suffer from the disorder is equal to 20% when that percentage is actually 20%.
Question 2. Use the sample data below to conduct a chi-square test to determine if getting into an accident and the color of car are independent. Use a significance level of 0.01.
CAR COLOR
Red Blue White Black
Accident 38 33 36 34
No Accident 239 420 512 285
a) (2) State the hypotheses being tested.
Ho: Ha:
b) (2) What are the test requirements?
c) (2) Give the computed value of the test statistic. ______________________
d) (1) Give the critical value of the test statistic.. _______________________
e) (2) What is the p-value of the test? ______________________
f) (3) State and explain the decision in terms of the two variables.
Provide complete and step by step solution for the question and show calculations and use formulas.