SOLUTION: I am having a hard time figuring this out. The null and alternative hypotheses are: HO: The cell categories are equal. H1: The cell categories are not equal. The signi

Algebra.Com
Question 266302: I am having a hard time figuring this out.
The null and alternative hypotheses are:
HO: The cell categories are equal.
H1: The cell categories are not equal.
The significance level is 0.05.
Category fo
A 10
B 20
C 30
D 20
Compute the value of chi-square.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
I am having a hard time figuring this out.
The null and alternative hypotheses are:
HO: The cell categories are equal.
H1: The cell categories are not equal.
The significance level is 0.05.
Category fo
A 10
B 20
C 30
D 20
Compute the value of chi-square.
-----------------
The numbers you have for A,B,C etc. are the "observed" data values.
The "expected" data values would be 20,20,20,20 since there are
80 data points and four categories.
---
List the "observed" values in one set.
List the expected values in another set.
Run a Chi-Sq Goodness-of-Fit test on the two sets.
---
I did and got:
Chi-Sq = 10
p-value = 0.1886
---
Conclusion: Since the p-value is greater than 5%
fail to reject Ho.
==========================
Cheers,
Stan H.

RELATED QUESTIONS

Determining null and alternative hypotheses A presidential candidate claims that the... (answered by stanbon)
Determining null and alternative hypotheses A toy manufacturer claims that the mean... (answered by stanbon)
1)The null hypothesis and the alternate are: H0: The cell categories are equal. H1: The (answered by stanbon)
The mean height of a certain kind of plant is 171 centimeters. Suppose we want to carry... (answered by stanbon)
Determining null and alternative hypotheses The records of a casualty insurance company... (answered by stanbon)
Determining null and alternative hypotheses A car leasing firm's records indicate that... (answered by stanbon)
The breaking strengths of cables produced by a certain company are approximately normally (answered by stanbon)
Is the mean salary of accountants who have reached partnership status higher than that... (answered by stanbon)
Is the mean salary of accountants who have reached partnership status higher than that... (answered by stanbon)