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1a.) A simple random sample of 100 Harvard undergraduates was given a two-question astronomy test. 13%...

1a.) A simple random sample of 100 Harvard undergraduates was given a two-question astronomy test. 13% of them gave an accurate answer to the question “Why does the Moon go through phases?” while 8% of them accu- rately answered the question “Why are there seasons?” Is the difference in these percentages statistically significant?

1b.) A simple random sample of 100 Harvard undergraduates was given a two-question astronomy test. 13% of them gave an accurate answer to the question “Why does the Moon go through phases?” while 8% of them accu- rately answered the question “Why are there seasons?” Is the difference in these percentages statistically significant?

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