Biostats SDS 328M Homework 6 Write your answers onto one or more separate sheets of paper. Clearly mark each sheet with your name and your lab time. Round all answers to at least 3 decimal places and assume, unless otherwise noted, that =0.05 1. 10% of people in the US are left-handed. A researcher wants to test the theory that this percentage is different among artists. She randomly selects 9 artists in the community and finds that 2 of them are left-handed. Is this enough evidence to conclude that the proportion of left-handed people is different among artists than among the general population? a. What are your null and alternative hypotheses? (2 pts) b. Check the conditions for the Binomial test and show that they apply. (1 pt) c. What is the p-value for your test (Binomial test)? Write the probability statement, and show ALL steps in your calculation of the p-value (done by hand, not using R-studio). (6 pts) c. Given your p-value in part b, what is your conclusion? (1 pt) 2. According to a genetic model, the distribution of fur color of the second generation Havana rabbit (oryctolagus cuniculus) should be 1:2:1, black:gray:brown. In a sample of second generation rabbits, there are 8 black, 24 gray, and 17 brown rabbits. a. What statistical test do they need to run to determine if these rabbits match the expected ratio? (1 pt) b. What are the null and alternative hypotheses for this test? (2 pts) c. Find your test statistic, show the rejection region for the test, and make a decision using the rejection region. (5 pts) d. What is your p-value? What decision would you make using the p-value? (1 pt) e. What is your conclusion? (1 pt) Copyright 2016 Dept. of Statistics and Data Sciences, UT Austin