What conditions are necessary in order to use the \( z \)-test to test the difference between two population proportions? Choose the correct answer below. A. Each sample must be randomly selected, independent, and \( n_{1} p_{1}, n_{1} q_{1}, n_{2} p_{2} \), and \( n_{2} q_{2} \) must be at most five. B. Each sample must be randomly selected, dependent, and \( n_{1} p_{1}, n_{1} q_{1}, n_{2} p_{2} \), and \( n_{2} q_{2} \) must be at most five C. Each sample must be randomly selected, \( I_{\text {dependent, and } n_{1} p_{1}, n_{1} q_{1}, n_{2} p_{2} \text {, and } n_{2} q_{2} \text { must be at least five }}^{\text {D. Each sample must be randomly selected, dependent, and } n_{1} p_{1}, n_{1} q_{1}, n_{2} p_{2} \text {, and } n_{2} q_{2} \text { must be at least five }} \).

According to a recent study annual per capita consumption of milk in the United States is 22.6 gallons. Being from the Midwest, you believe milk consumption is higher there and wish to test your hypothesis. A sample of 14 individuals from the Midwestern town of Webster City was selected and then each person's milk consumption was entered into the Microsoft Excel Online file below. Use the data to set up your spreadsheet and test your hypothesis. Gallons of milk- \( 24.6,23.84,25.25,21,17.52,19.61,19.83,26.18,34.97 \), \( 29.9,28.59,20.57,26.94,27.24 \) At \( \boldsymbol{\alpha}=\mathbf{0 . 0 5} \), test for a significant difference by completing the following. Calculate the value of the test statistic ( 2 decimals).

According to a recent study annual per capita consumption of milk in the United States is 22.6 gallons. Being from the Midwest, you believe milk consumption is higher there and wish to test your hypothesis. A sample of 14 individuals from the Midwestern town of Webster City was selected and then each person's milk consumption was entered into the Microsoft Excel Online file below. Use the data to set up your spreadsheet and test your hypothesis. Gallons of milk- 24.6, 23.84, 25.25, 21,17.52,19.61, 19.83, 26.18, 34.97, \( 29.9,28.59,20.57,26.94,27.24 \) At \( \boldsymbol{\alpha}=\mathbf{0 . 0 5} \), test for a significant difference by completing the following. Calculate the value of the test statistic ( 2 decimals). What is the p-value?

Without wait tracking system- \( 24,67,17,19,31,43,12,23,17,37 \) With wait tracking system- \( 31,12,13,18,12,37,9,14,12,16 \) What are the variance and standard deviation of patient wait times for offices with a wait tracking system? What are the variance and standard deviation of patient wait times for visits to offices without a wait tracking system? Please round the answers to 2 decimal place.

Martina plays chess. She has played 15 games this season, out of which she has won nine. She has five more games to play. What will her success rate be in this season if she wins all five remaining games?

According to a recent study annual per capita consumption of milk in the United States is 22.6 gallons. Being from the Midwest, you believe milk consumption is higher there and wish to test your hypothesis. A sample of 14 individuals from the Midwestern town of Webster City was selected and then each person's milk consumption was entered into the Microsoft Excel Online file below. Use the data to set up your spreadsheet and test your hypothesis. Gallons of milk- \( 24.6,23.84,25.25,21,17.52,19.61,19.83,26.18,34.97 \), \( 29.9,28.59,20.57,26.94,27.24 \) What is a point estimate of the difference between mean annual consumption in Webster City and the national mean?