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You are performing a statistical test to determine if the proportion of Americans that donate to...

You are performing a statistical test to determine if the proportion of Americans that donate to charity is greater than .75. You take a sample of 1334 Americans and find that 1052 claim that they have donated to charity. You find a p-value of .0006. Which of the following is a correct interpretation of the p-value?
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The probability of observing a test statistic of 3.22 or higher, assuming a population parameter of .75.

The probability of the population proportion being .75.

The probability of observing a result as least as extreme as the one we observed, assuming that the population proportion of .75.

The probability of observing a sample statistic of .789 or higher out of a sample of 1334 assuming a population parameter of .75.

The probability of observing less than a sample statistic of .789 out of a sample of 1334 assuming a population parameter of .75.

The probability of observing a sample statistic of .789 out of a sample of 1334 assuming a population parameter of .75.

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Answer #1

The correct interpretation is:

The probability of observing a sample statistic of .789 or higher out of a sample of 1334 assuming a population parameter of .75.

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