25. We have a coin that we dont know fair or unfair, and we flip it 100 times. 45 of them turned out to be tails and the rest turned out to be heads. What is the 95% Confidence Interval for the population proportion of tails? (a) (0.3525, 0.5475) (b) (0.3055, 0.5945) (c) (0.4505, 0.5495) (d) (0.3330, 0.6670)

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25. We have a coin that we dont know fair or unfair, and we flip it 100 times. 45 of them turned
out to be tails and the rest turned out to be heads. What is the 95% Confidence Interval for the
population proportion of tails?
(a) (0.3525, 0.5475)
(b) (0.3055, 0.5945)
(c) (0.4505, 0.5495)
(d) (0.3330, 0.6670)
(e) (0.4500, 0.5500)
26. Suppose that we want to know if the population mean of GPA of male and female students (M1
and M2) are different. For this purpose, we apply a hypothesis test using the sample data. Which
of the following statements will be appropriate for alternative hypothesis (H1)?
(a) H1 : M1 = M2
(b) H1 : M1 < M2
(c) H1 : M1 > M2
(d) H1 : M1 # M2
(e) H1 : M1 = 2.90, M2 = 3.00
%3D
Transcribed Image Text:25. We have a coin that we dont know fair or unfair, and we flip it 100 times. 45 of them turned out to be tails and the rest turned out to be heads. What is the 95% Confidence Interval for the population proportion of tails? (a) (0.3525, 0.5475) (b) (0.3055, 0.5945) (c) (0.4505, 0.5495) (d) (0.3330, 0.6670) (e) (0.4500, 0.5500) 26. Suppose that we want to know if the population mean of GPA of male and female students (M1 and M2) are different. For this purpose, we apply a hypothesis test using the sample data. Which of the following statements will be appropriate for alternative hypothesis (H1)? (a) H1 : M1 = M2 (b) H1 : M1 < M2 (c) H1 : M1 > M2 (d) H1 : M1 # M2 (e) H1 : M1 = 2.90, M2 = 3.00 %3D
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