Frequency table results for Less than 10: Count = 756 Less than 10 + Frequency Relative Frequency 252 0.33333333 504 0.66666667A physical education teacher wanted to test whether her county's students are falling below the national proportion. It is known that the national proportion for high school juniors passing the aerobic portion ofthe test (running a mile in less than 10 minutes) is . Using {1 = BLUE. is there sufcient evidence to conclude that less than 1''l-'E1 of students run one mile in less than 10 minutes? Conduct a full hypothesis test by following the steps below. b) Dene the population parameter in context in one sentence. c) State the null and alternative hypotheses using correct notation. d) State the signicance level for this problem. e) Check the three conditions of the Central Limit 'Iheorem that allow you to use the one proportion ztest 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 \"byhand." Show the work necessaryr 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 pvaluc using the standard Normal table and provide the answer. Use four decimal places for the pvalue. 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 andfor answer the question being posed] in one or two complete sentences. The Physical Fitness Test (PFT) is a comprehensive, health-related physical fitness battery of tests for students in K - 12. One fitness area is Aerobic Capacity and is tested by having students run one mile. In a particular county in Virginia, a sample of juniors in high school was collected and presented in the data set called "Running a Mile." If the student ran the mile in less than 10 minutes, they passed this portion of the test (and is recorded as a "1" in the data set)