No5.6Including explanation

For each hypothesis test you complete, please answer questions (a) through (i) listed below. (a) (1 point) What conditions should you check first before you con- duct the hypothesis test? (b) (1 point) Write the null and alternative hypotheses. (c) (1 point) What type of test are you doing: right-tailed, left-tailed or two-tailed? Final Exam: Individual Part (d) (1 point) What formula should be used for the test statistic? (e) (1 point) What number is the test statistic equal to? (f) (2 points) Sketch a graph of the p-value (g) (1 point) What p-value do you obtain? Round to the ten-thousandths. (h) (1 point) Do you reject the null hypothesis or fail to reject the null hypothesis? Explain. (i) (1 point) Please write a conclusion sentence, in the context of the problem, that explains to a lay person the result of the hypothesis test. 5. (10 points) It has been reported that 59.3% of U.S. school lunches served are free or at a reduced price. A random sample of 300 children in a large metropolitan area indicated that 156 of them received lunch free or at a reduced price. At the 0.01 level of significance, is there sufficient evidence to conclude that the proportion is less than 59.3%? 6. (10 points) Average weekly earnings for those working in financial ac- tivities is $623. A group of employees working for a large national accounting firm felt that they earned more. The mean weekly earn- ings for a random sample of 21 employees showed an average weekly earning of $650 with a standard deviation of $72. At a =0.01, can it be concluded that the employees are correct