10. A political party is going to conduct a poll of voters to determine the prop

Question

10. A political party is going to conduct a poll of voters to determine the proportion (p) of all voters that support their candidate. In which situation would it be appropriate to perform inference using the normal distribution?

a. If we take a simple random sample of 100 participants when p= 0.8.

b. If we take a simple random sample of 100 participants when p=0.03.

c. If we take a simple random sample of 30 subjects when p=0.5.

d. Both a and c but not b.

17. A large office building has four entrances through which people can enter. One of the four entrances has had improved landscaping installed. An industrial psychologist wanted to see if people tend to use the entrance that has the improved landscaping more often. Using the buildings video surveillance system he randomly selected 200 people who entered the building. He found that 80 (40%) of the 200 entered through the improved entrance. He would like to determine if this significantly more than we would expect if all the entrances were equally likely. To determine this he will conduct a test of H0: p=0.25 vs. Ha: p>0.25. In carrying out his test what null distribution should he use?

a. A normal distribution centered at 0.25 with standard deviation 0.035

b. A normal distribution centered at 0.40 with standard deviation 0.035

c. A normal distribution centered at 0.40 with standard deviation 0.031

d. A normal distribution centered at 0.25 with standard deviation 0.031

Assuming unequal variance
Difference -181.71 t-ratio AAA
Std Err Dif 116.33 DF 10.47
Upper CL Dif BBB Prob >|t| DDD
Lower CL Dif CCC Prob > t 0.9260
Confidence 0.95 Prob <t 0.0740

25. The upper confidence limit for the confidence interval is missing from this output (BBB). What is the missing value?

a. 77.47

b. -437.34

c. 46.55

d. -181.71

Explanation / Answer

10. Condition for normal approximation is np>5 and nq>5

As a and c satisfied this condition they are correct

So answer is

d. Both a and c but not b.

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