Answer to Question #321481 in Statistics and Probability for vani

Question #321481

A. Directions: Check whether the sample is in each problem is sufficiently large enough to use the

Central Limit Theorem in normal approximation.

1. A Public Information Survey investigated whether the majority of 40% of adults supported a tax

increase to help fund the local school system. Out of this, a random sample of 300 showed that 113

agreed with the tax increase.

2. It is believed that in the coming election, 65% of the voters in the Province of Kaunlaran will vote for

the administrative candidate for governor. Out of 1,170 randomly selected voters, 640 indicated that

they would vote for the administrative candidate.

3. Suppose that in the past, 42% of all adults favored capital punishment. Do we have reason to believe

that this proportion has increased if in a random sample of 150 adults, 80 favored capital punishment?



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