Question

. In this question, you are going determine the outcome of a test without assuming that the sample size condition holds for tests involving a population proportion. Consider the situation described in the box below About 13% of the population is left-handed. A biologist suspects that the scientific community is not like the general population in terms of handedness. He believes that scientists are more likely to be left-handed. He asks 40 scientists and finds that 7 are left-handed. Does this data support the biologist's theory? The model or setting that the biologist has in mind is as follows: Let Xi be equal to l if the ith scien- tist is left-handed and 0 otherwise. The biologist is assuming that Xi...., Xn are id Bernoulli with probability of success equal to p. Let X = X1 + X2 + . .. + Xn. Recall that this is just like a coin toss model (a) (1 point) Describe p in the biologist's context. (b) (2 points) State the null and alternative hypotheses (c) (3 points) Write down the R code to compute the probability that X 27 assuming that the null is true. (Use the pbinom command here.) What is your result? What is the name for the probability you have calculated? ) 2 polnte) le there evideuce to suppart the biogint's clin? Esplain

Answer 1