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A coin is flipped 100 times, and 42 heads are observed. Find a 99% confidence interval...

A coin is flipped 100 times, and 42 heads are observed. Find a 99% confidence interval of π (the true population proportion of getting heads) and draw a conclusion based on the collected data. Hint: Choose the best one. (0.274, 0.536) a 99% confidence interval of π and we conclude it is a fair coin. (0.293, 0.547) a 99% confidence interval of π and we conclude it is a fair coin. (0.304, 0.496) a 99% confidence interval of π and we conclude it is a fair coin. (0.324, 0.486) a 99% 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 is a fair coin. (0.274, 0.536) a 99% confidence interval of π and we conclude it is not a fair coin. (0.293, 0.547) a 99% confidence interval 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 fair coin. (0.324, 0.486) a 99% confidence interval of π and we conclude it is not a fair coin. (0.433, 0.509) a 99% confidence interval of π and we conclude it is not a fair coin.

: (This continues Q7: 2 marks) Find the P-Value of the test. Ha: π =1/2. Vs. Ha: π ≠1/2.

  1. Less than 1%.

  2. Between 1% and 2%

  3. Between 2% and 3%

  4. Between 3% and 5%

  5. Between 5% and 8

math   Statistics-And-Probability   
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Answer #1

From the given information,

By using confidence interval calculator,

The required correct answer is,

(0.293, 0.547) is a 99% confidence interval of π and we conclude it is a fair coin.

And

By using p-value calculator,

Hence,

P-value=0.1096=10.96%

Hence, P-value is greater than 10%.

Thank you.

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