A random sample of U.S. adults taken 4 years ago indicated that 70% were optimis

Question

A random sample of U.S. adults taken 4 years ago indicated that 70% were optimistic about the economy. An economist believes that this percent has increased.
1) To determine the p-value, which of the following distribution models would we use?

a)T distribution if n(0.70) and n(0.30) are both at least 15.

b)T distribution with 49 degrees of freedom because n is greater than 30.   

c)Normal if n(0.70) and n(0.30) are both at least 15.

d) Normal if n(0.82) and n(0.18) are both at least 15.

2) Find the test statistic. (3 decimal places)

3) Find the p-value. ( 3 decimal places)

Explanation / Answer

1. Since we need to test the claim about a proportion, we will use normal if n(0.70) and n(0.30) are both at least 15.

Option C is correct.

For 2) and 3), we would be needing sample size (n) and sample proportion. We can't determine test statistic or p - value without that.

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