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A random sample of traffic tickets given to motorists in a large city is examined. The tickets are classified according to the race or ethnicity of the driver. The results are summarized in the following table.

The proportion of this city's population in each of the racial/ethnic categories listed is as follows.

We wish to test H0: The racial/ethnic distribution of traffic tickets in the city is the same as the racial/ethnic distribution of the city's population.

The category that contributes the largest component to the 2test statistic is a. White, with 12.4fewer tickets than expected.

b. White, with 12.4more tickets than expected.

c. Hispanic, with 6.16fewer tickets than expected.

d. Hispanic, with 6.16more tickets than expected.

Short Answer

Expert verified

The correct option is (d) i.e. Hispanic, with 6.16more tickets as compared to expected.

Step by step solution

01

Explanation

We need to find the correct option for the given data.

02

Explanation

We know that

The null hypothesis asserts that the variables are unrelated, whereas the alternative hypothesis asserts that they are.

H0:p1=0.55,p2=0.30,p3=0.08,p4=0.07

Hrepresents that at least one piis incorrect

And expected frequencies are a product of row and column total divided by table total.

And The squared differences between the actual and predicted frequencies, divided by the expected frequency, make up the chi-square subtotals.

White: 2=1.8889

Black: 2=1.3009

Hispanic: 2=3.2049

Other: 2=0.1785

We can see that the Hispanic group has the highest chi-square subtotal, and hence the Hispanic category contributes the most to the statistic. Furthermore, the observed count (18) is 6.16times higher than the projected count (11.84).

Therefore,

Correct option is (d).

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A random sample of traffic tickets given to motorists in a large city is examined. The tickets are classified according to the race or ethnicity of the driver. The results are summarized in the following table.

The proportion of this city's population in each of the racial/ethnic categories listed is as follows.

We wish to test H0: The racial/ethnic distribution of traffic tickets in the city is the same as the racial/ethnic distribution of the city's population.

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