Enamored with the solitaire game on his new computer, Author A sets out to estimate his probability of winning the game and wins 25 games while losing 192 games. Anxious to outperform Author A, Author B plays 444 games of solitaire and wins 74. Author B wants to know if they are performing significantly different than Author A.

a. Do these data arise from sampling from two processes or sampling from two populations?
b. Staying consistent with your answer in part (a) define the parameters of interest. Also, assign symbols to these parameters.
c. State the appropriate null and alternative hypotheses in words.
d. State the appropriate null and alternative hypotheses in symbols.
e. Use an appropriate applet to use a simulation-based approach to find a p-value to test the hypotheses stated.
f. Explain why it would be okay to use the theory-based method (that is, normal distribution based method) to find a p-value and confidence interval for this study.
g. Use an appropriate applet to find and report the following from the data:
• The standardized statistic
• The theory-based p-value
• The theory-based 95% confidence interval
h. Interpret the p-value in the context of the study.
i. How much evidence is there based on this p-value?
j. Interpret the 95% confidence interval in the context of the study.
k. Does the 95% confidence interval contain 0? How does this correspond to the p-value you obtained earlier?
l. State a complete conclusion about this study, including significance, estimation (confidence interval), causation, and generalization. Be sure to explain how you are arriving at your conclusion.