A random sample of U.S. adults taken 4 years ago indicated that 70% were optimis
ID: 3217267 • Letter: A
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
Answer:
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.
Answer: 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.
Both np and n(1-p) are atleast 15.
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