QuestionPart 4 of 4
Soon after the euro was introduced as a currency in Europe, it was widely reported that someone had spun a euro coin 250 times and gotten he coin. Complete parts a) through c) below. a) Estimate the true proportion of.heads. Use a $90 \%$ confidence interval. Don't forget to check the conditions first.
Are the conditions satisfied? A. The $10 \%$ Condition and the Success/Failure Condition are both met. The Randomization Condition is not met. B. The Randomization Condition and the $10 \%$ Condition are both met. The Success/Failure Condition is not met. C. The Randomization Condition and the Success/Failure Condition are both met. The $10 \%$ Condition is not met. D. The Independence Assumption is not plausible. The $10 \%$ Condition is not met. E. The Randomization Condition is met. Neither the $10 \%$ Condition nor the Success/Failure Condition are met. F. All necessary assumptions and conditions are met.
The 90\% confidence interval is ( $0.468,0.572$ ). (Use ascending order. Round to three decimal places as needed.) b) Does your confidence interval provide evidence that the coin is unfair when spun? Explain.
Since 0.50 is $\square$ within the interval, there $\square$ evidence that the coin is unfair when spun. c) What is the significance level of this test? Explain.
The significance level is $\alpha=$ $\square$ . The test is a(n) $\square$ test based on the 90\% confidence interval above. (Type an integer or a decimal.)