A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents, \( 13 \% \) chose chocolate pie, and the margin of error was given as \( \pm 4 \) percentage points. What values do \( \hat{p}, \hat{q}, \mathrm{n} \), E , and p represent? it the confidence level is \( 99 \% \), what is the value of \( \alpha \) ? The value of \( \hat{p} \) is The value of \( \hat{q} \) is The value of n is The value of E is The value of p is If the confidence level is \( 99 \% \), what is the value of \( \alpha \) ? \( \alpha=\square \) (Type an integer or a decimal. Do not round.)

Question 13 of 25 To test whether a special soap works as advertised, Bob has 5 people wash their hands with the soap and 5 people wash their hands with regular soap. The people who washed with the special soap have cleaner hands, so Bob says that the soap works. What is Bob doing? A. Making an inference B. Gathering data C. Drawing a conclusion D. Making a hypothesis

2. Use the list of data to make a box plot what is the tgis? \[ 5,8,1,3,5,11,5,8,4 \]

Out of 500 households sampled, 190 had kids under 18 living at home. Assuming the conditions are met, use the theoretical formula to construct a(n) \( 90 \% \) confidence interval for the true population proportion of households with kids under 18 living at home. a. Give your theoretical confidence interval in decimal form. Use 4 decimal places in your calculations and round your answers to four decimal places. ( \( 0.334,0.415 \) ) b. Interpret the confidence interval in context: We are \( 90 \% \) confident that the proportion of households with kids Show your formula and steps on paper or in the add work box (don't skip the between \( 34.43 \% \) and \( 41.57 \% \). interpretation above):

Based on past experience, a bank believes that \( 9 \% \) of the people who receive loans will not make their payments on time. The bank has recently approved 200 loans. a. Write about and check each of the conditions needed in the context of this situation to use the sampling distribution for the proportion of people who will not make their payments on time (Central Limit Theorem). Conditions: distritution for the proportion of people who make their payment on time based on the cental limit theorem. we can proceeds to analyze the proportion of the sameple that does not make payment on time using normal approximation methods. What are the mean and standard deviation of this model? b. Mean = 18 c. Standard deviation (accurate to 4 decimal places) \( =4.047 \) d. What is the probability that \( 10 \% \) or more of these clients will not make timely payments to 4 decimal places? 0.312 .

Based on historical data at Oxnard college, they believe that \( 42 \% \) of freshmen do not visit their advisors regularly. For this year, you would like to obtain a new sample to estimate the proportion of freshmen who do not visit their advisors regularly. You would like to be \( 90 \% \) confident with a margin of error of \( 4 \% \). Assume the conditions are met and use the appropriate formula to determine how many people you would need to sample. \( n=412 \) Show your steps on paper or in the add work box: Question Help: