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Mary is interested studying the population proportion of Ame…
Mаry is interested studying the pоpulаtiоn prоportion of Americаn mothers with three or more children. She randomly samples 475 American mothers and 108 indicate that they have three or more children. p^ ± ZCritSE{"version":"1.1","math":"p^ ± ZCritSE"} A. Use the confidence interval formula to construct a 90% confidence interval for the true proportion of all American mothers with three or more children. Round the 90% CI to 3 decimal places. You do not have to show work but may type out your calculations, if you choose. [4 points]B. Provide a 1-sentence statistical interpretation of the confidence interval in the context of the problem. [3 points]C. A 2025 news article indicates that the true proportion of American mothers with at least 3 children is 0.25. Do we have 90% confidence in this statement? Please explain your answer in one complete sentence. [4 points]D. Show your work as you determine if the normality assumption has been met. State your answer in a complete sentence. [4 points]