Find tests statitic and p-score. The Head Start program provides a wide range of services to low-income children up to the age of 5 years and their families. Its goals are to provide services to improve social and learning skills and to improve health and nutrition status so that the participants can begin school on an equal footing with their more advantaged peers. The distribution of ages for participating children is as follows: 14% five-year-olds, 50% four-year-olds, 19% three-year-olds, and 17% under three years.When the program was assessed in a particular region, it was found that of the 238 randomly selected participants, 21 were 5 years old, 109 were 4 years old, 40 were 3 years old, and 68 were under 3 years old. Perform a test to see if there is sufficient evidence at α = 0.01 that the region's proportions differ from the national proportions.

Answered: The head start program provides a wide…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

Find tests statitic and p-score.

The Head Start program provides a wide range of services to low-income children up to the age of 5 years and their families. Its goals are to provide services to improve social and learning skills and to improve health and nutrition status so that the participants can begin school on an equal footing with their more advantaged peers. The distribution of ages for participating children is as follows: 14% five-year-olds, 50% four-year-olds, 19% three-year-olds, and 17% under three years.

When the program was assessed in a particular region, it was found that of the 238 randomly selected participants, 21 were 5 years old, 109 were 4 years old, 40 were 3 years old, and 68 were under 3 years old. Perform a test to see if there is sufficient evidence at α = 0.01 that the region's proportions differ from the national proportions.

Expert Solution

Step 1

The chi-square goodness of fit test can be used to determine whether a sample distribution follows the specified distribution or not. In this test, there will be two types of counts, one is expected counts (denoted by E) and other is observed or actual counts (denoted by O).

The test will determine whether the actual counts are significantly different from the expected count or not. If the test shows that there are evidence of significant difference in between them, then it can be concluded that the sample distribution is different from specified distribution.