when individuals in a sample of 150 were asked whether or not they supported capital punishment, the following information was obtained.

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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. 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