For the following information, determine whether a normal sampling distribution can be used, where \( p \) is the population proportion, \( \alpha \) is the level of significance, \( \hat{p} \) is the sample proportion, and \( n \) is the sample size. If it can be used, test the claim. Claim: \( p \geq 0.47 ; \alpha=0.04 \). Sample statistics: \( \hat{p}=0.40, n=140 \) Af a normal sampling distribution can be used, identify the critical value(s) for this test. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Round to two decimal places as needed. Use a comma to separate answers as needed.) B. A normal sampling distribution cannot be used. If a normal sampling distribution can be used, identify the rejection region(s). Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The rejection region is \( z>\square \). (Round to two decimal places as needed.) B. The rejection region is \( \square<z<\square \). (Round to two 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?

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 \( \alpha=0.05 \), 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). 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- \( 24.6,23.84,25.25,21,17.52,19.61,19.83,26.18,34.97 \), \( 29.9,28.59,20.57,26.94,27.24 \) What is a point estimate of the difference between mean annual consumption in Webster City and the national mean?