What has to be true about the observed proportions if the MAD statistic is zero?

Question

What has to be true about the observed proportions if the MAD statistic is zero? All observed proportions are different. O The distribution of observed proportions is symmetric. The distribution of observed proportions is asymmetric All observed proportions are the same ull distributions using the MAD statistic will be Skewed left. Symmetric and centered at the MAD statis O Symmetric and centered at zero Skewed right. Which of the following are true about the MAD statistic? There may be more than one sta As the MAD statistic increases, the p-value decreases The MAD statistic can never be negative The MAD statistic is the average distance sample proportions are from each other. O The MAD statistic is the average of a group of sample prortions. A MAD statistic of zero means that all the proportions are the same distance apart. 8.CE.6 (b) The General Social Survey asked a random sample of adult Americans about their political viewpoint and also about whether they had giv in the previous year. The sample results for the 2012 survey are organized in the following two-way table of counts: Liberal Moderate Conservative 38 ave blood Did not give blood 297 391 Calculate the value of the MAD statistic for these sample data. Round your answer to 3 decimal places, e.g. 0.583. 31 45 354

Explanation / Answer

To understand 8.1.3 we also work out 8.1.4 to answer your question and understand the underlying concept:

This is how MAd works:

Please post 1 question per post, as per forum rules.

8.1.4

IF MAD statistic is 0 then mean of absolute deviations is 0

Which means abolute deviations is 0, which can only happen when all points are equal to mean, and hence, there is
no deviation. In turn, this means that all values and therefore thier mean are equal.

Hence, D is correct, all observed proportions are the same. ( which essentially means they are the same points)

8.1.3.

No answer isn't this.
MAD statistic for Ho is basically if the distribution confers to a the following :
symmetric and centered at 0

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