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A young investor in the stock market is concerned that investing in the stock market is actually? gambling, since the chance of the stock market going up on any given day is50?%.She decides to track her favorite industrial company stock for257consecutive days and finds that on138days the stock was? "up." Complete parts a through c.?a) Find a95?%confidence interval for the proportion of days the stock is? "up."Check the conditions first. Which of the following conditions have been satisfied in this? situation? Select all that apply. A. Randomization Condition B. ?10% Condition C. ?Success/Failure Condition Find the95?%confidence interval.left parenthesis nothing comma nothing right parenthesis?(Round to three decimal places as? needed.)?b) Does your confidence interval provide any evidence that the market is not? random? Explain.Select the correct choice below and fill in the answer box to complete your choice.?(Type an integer or a decimal. Do not? round.) A. Yes becausenothingis within the? interval, so? it's not a plausible value for the true proportion of? "up" days. B. No becausenothingis within the? interval, so? it's a plausible value for the true proportion of? "up" days. C. No becausenothingis not within the? interval, so? it's a plausible value for the true proportion of? "up" days. D. Yes becausenothingis not within the? interval, so? it's not a plausible value for the true proportion of? "up" days. ?c) What is the significance level of this? test? Explain.Select the correct choice below and fill in the answer boxes to complete your choice.?(Type integers or decimals. Do not? round.) A. The significance level isalphaequalsnothing.?It's a? right-tail test based on anothing?%confidence level. B. The significance level isbetaequalsnothing.?It's a? two-tail test based on anothing?%confidence level. C. The significance level isbetaequalsnothing.?It's a? left-tail test based on anothing?%confidence level. D. The significance level isalphaequalsnothing.?It's a? two-tail test based on anothing?%confidence level.
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