Respuesta :
When individuals in a sample of 150 were asked whether or not they supported capital punishment, the following information was obtained. The calculated test statistic is equal to 4.
How to solve for the test statistic
First we have to get the expected value. The expected value based on its probability distribution, describes the long-term average level of a random variable.
We have Ei = ∑x/n
x = 150
n = 3
= 150 / 3
= 50
n = 3
Next is the test statistics
We would have to solve for (Oi-Ei) and (Oi-Ei)²
40 - 50 = -10, -10² = 100
60 - 50 = 10, 10² = 100
50 - 50 = 0, 0 ² = 0
Next we have to solve (Oi-Ei)²/Ei
100 / 50 = 2
100 / 50 = 2
0 / 50 = 0
The test statistic = 2 + 2 = 4
Hence we have that the calculated value of the test statistic from the sample is 4.
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When individuals in a sample of 150 were asked whether or not they supported capital punishment, the following information was obtained.
Do You Support
Capital Punishment?
Number of
Individuals
Yes 40
No 60
No Opinion 50
We are interested in determining whether or not the opinions of the individuals (as to Yes, No, and No Opinion) are uniformly distributed.
Refer to Exhibit 11-1. The calculated value for the test statistic equals