Determine whether a normal sampling distribution can be used for the following sample statistics. If it can be used, test the claim about the difference between two population proportions \( p_{1} \) and \( p_{2} \) at the level of significance \( \alpha \). Assume that the samples are random and independent. Claim: \( p_{1} \neq p_{2}, \alpha=0.01 \) Sample Statistics: \( x_{1}=32, n_{1}=73, x_{2}=30, n_{2}=83 \) Calculate the standardized test statistic for the difference \( p_{1}-p_{2} \), if applicable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( z=\square \) B. The conditions to two decimal places as needed.) Calculate the \( P \)-value, if applicable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( p=\square \) (Round to three decimal places as needed.)

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.

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?

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).

When is it appropriate to make inferences about a population based upon data collected from a sample when the sample is selected at random from the population of interest any time an experiment is conducted any time an observational study is conducted when a sample is selected from the population of interest

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?