- 5 What Is The Probability That A Random Sample Of 50 Students Taken From This Population Will Have 20 Or More Students 1 (156.91 KiB) Viewed 35 times
taken from this population will have 20 or more students whose
hometown is less than 50 miles from Ames?
a) [4] For testing the hypothesis, H:p=0.50 VS. H.: p=0.50 the value of the test statistic is z=-2.35. What is the P-value? b) [2] For a test of hypothesis, the P-value is 0.003. What should your decision be, and why? c) [4] Indicate whether the interpretation of a 95% confidence interval is Correct (C) or Incorrect (1) I am 95% confident that the sample proportion is in the confidence interval 95% of the time, the population proportion is in the confidence interval. I am 95% confident that the population proportion is in the confidence interval. 95% of the population values are in the confidence interval. [14 pts] Consider the population of all ISU Stat 101 students who have responded to the beginning of the semester survey. There are over 1,400 students in this population. For this population, the proportion of students whose hometown is less than 50 miles from Ames is 0.24 a) [4] For random samples of 50 students taken from this population, describe the sampling distribution of Ộ, the sample proportion of students whose hometown is less than 50 miles from Ames. Be sure to include shape, center and spread. b) [2] Is the 10% condition satisfied? Explain briefly. c) [3] Is the success/failure condition satisfied? Explain briefly.