GMU uses a robot food delivery service which now has been utilized in the City of Fairfax. One of the potential benefits of this service is to help the busiest students eat breakfast. Research has shown that about 80% of college students skip breakfast due to busy schedules and other reasons. Initial data were collected from a random sample of 595 Mason students who utilize the robot food delivery service and are presented in StatCrunch e) Check the three conditions of the Central Limit Theorem that allow you to use the one- proportion z-test using one complete sentence for each condition. Show work for the numerical calculation. You can assume the population is large. f) Calculate the test statistic “by-hand.” Show the work necessary to obtain the value by typing all the steps needed and the resulting test statistic. Do not round while doing the calculation. Then, round the test statistic to two decimal places. g) Calculate the p-value using the standard Normal table and provide the answer. Round the p-value to four-decimal places. h) State whether you reject or do not reject the null hypothesis and the reason for your decision in one sentence. i) Based on your above decision, state your conclusion in context of the problem (i.e. interpret your results and/or answer the question being posed) in one or two complete sentences.
GMU uses a robot food delivery service which now has been utilized in the City of Fairfax. One of the potential benefits of this service is to help the busiest students eat breakfast. Research has shown that about 80% of college students skip breakfast due to busy schedules and other reasons. Initial data were collected from a random sample of 595 Mason students who utilize the robot food delivery service and are presented in StatCrunch
-
e) Check the three conditions of the Central Limit Theorem that allow you to use the one- proportion z-test using one complete sentence for each condition. Show work for the numerical calculation. You can assume the population is large.
-
f) Calculate the test statistic “by-hand.” Show the work necessary to obtain the value by typing all the steps needed and the resulting test statistic. Do not round while doing the calculation. Then, round the test statistic to two decimal places.
-
g) Calculate the p-value using the standard Normal table and provide the answer. Round the p-value to four-decimal places.
-
h) State whether you reject or do not reject the null hypothesis and the reason for your decision in one sentence.
-
i) Based on your above decision, state your conclusion in context of the problem (i.e. interpret your results and/or answer the question being posed) in one or two complete sentences.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
