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In 2006, Pew Research Center found that only 16% of older US Latinos supported same sex marriage. In a more recent poll, they found that support for...

In 2006, Pew Research Center found that only 16% of older US Latinos supported same sex marriage. In a more recent poll, they found that support for same sex marriage has increased quite a bit. Of the 12 people randomly sampled, 22% supported same sex marriage. Can we safely use the z-test for p in this case? Which of the following is correct?

It is not safe to use the z-test for p in this case since 12*(.16) is not large enough.

It is not safe to use the z-test for p in this case since the sample was not random.

It is safe to use the z test for p in this case.

It is not safe to use the z-test for p in this case since 12*(.22) is not large enough.

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