Q7: (About Interval Estimation: 2 marks) A coin is flipped 100times, and 42 heads are observed. Find a 99% confidence interval ofπ (the true population proportion of getting heads) and draw aconclusion based on the collected data. Hint: Choose the best one.(0.274, 0.536) a 99% confidence interval of π and we conclude it isa fair coin. (0.293, 0.547) a 99% confidence interval of π and weconclude it is a fair coin. (0.304, 0.496) a 99% confidenceinterval of π and we conclude it is a fair coin. (0.324, 0.486) a99% confidence interval of π and we conclude it is a fair coin.(0.433, 0.509) a 99% confidence interval of π and we conclude it isa fair coin. (0.274, 0.536) a 99% confidence interval of π and weconclude it is not a fair coin. (0.293, 0.547) a 99% confidenceinterval of π and we conclude it is not a fair coin. (0.304, 0.496)a 99% confidence interval of π and we conclude it is not a faircoin. (0.324, 0.486) a 99% confidence interval of π and we concludeit is not a fair coin. (0.433, 0.509) a 99% confidence interval ofπ and we conclude it is not a fair coin.

Q8: (This continues Q7: 2 marks) Find the P-Value of the test.Ha: π =1/2. Vs. Ha: π ≠1/2. Less than 1%. Between 1% and 2% Between2% and 3% Between 3% and 5% Between 5% and 8%

1. Between 8% and 10%

2. Between 10% and 12%

3. Between 12% and 15%

4. Between 15% and 20%

5. Bigger than 20%.