A survey asks a simple random sample of 500 adults in Ohio if they support an increasbin the state sales tax from 5% to 6%, with additional revenue going to education. Let p-hat denote the proportion in the sample who say they support the increase. Suppose that 53% of all adults in Ohio support the increase. What is the probability that less than half the sample will say they support the increase?

Question

Mathematics

Giselle Hayes

30 June, 21:21

A survey asks a simple random sample of 500 adults in Ohio if they support an increasbin the state sales tax from 5% to 6%, with additional revenue going to education. Let p-hat denote the proportion in the sample who say they support the increase. Suppose that 53% of all adults in Ohio support the increase. What is the probability that less than half the sample will say they support the increase?

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Ethen Ali · Answer 1

We need to get the z-score for the given data from z-score table. After which, use this formula

p-hat - z √p-hat (1 - p-hat) / n

To get the probability that less than of half of the sample say they support the increase