Question

Directions: Provide complete and detailed written solutions to the following questions. Show your calculations and/or calculator input and include justifications for answers when appropriate. 1. A university is concerned about the percentage of all its male athletes that graduate. The university randomly selects 150 male athletes over the past several years and finds that 122 eventually graduated. 9 pts) Describe the population. a. Describe the sample. b. c What is the population parameter? (Describe in words.) d. What is the sample statistic? (Describe in words and calculate the value.) 2. To estimate the percentage of high school students in the United States that use the iPhone, an organization surveyed a random sample of high school students in New York City. Identify and explain the type of bias. 12 pty 3. Which sampling distribution has a larger sample size? Explain how this can be determined from the graphs. [3 pts) 44 s4

Answer 1

1. Given A university is concerned about the percentage of all its male athletes that graduate.

A random sample of 150 male athletes over the past several years and find that 122 eventually graduated.

a) The population interested in the study is the Number of male athletes in the specific University over the past several years.Since we want to draw the inferences about this population.

b) The sample in the study are the random sample of 150 male athletes selected for the study.

c) The population parameter is the quantity which describe the population.

Hence the parameter is the proportion of male athletes that graduate.

Therefore the population parameter is population proportion(p)

d) Sample statistic is the sample proportion $\hat{p}$

here

123 P = = 0.813