Question

From 2000 to 2016, only 46% of incoming first-year students at small liberal arts colleges were male. At a regional meeting of college recruiters, a group of college reported that new recruiting strategies had increased the proportion of m fall of 2018. 5. en entering in the Write the null and alternative hypotheses to test this claim. Define the terms used in your hypotheses. Do not assume that I will correctly interpret any abbreviations a. Ho: На: Using the schematic attached to the exam, explain how you would select the technique to test the hypotheses. b. Do you have one population or two? One population Is the data numerical or Two Population is the data numerical or Categoicacregerical (proportions) (means》 Numerical Is the data related or unrelated? You know σ You do not know σ Unrelated Are the variances equal? Related Paried t-test Pooled Variance t-test ttest

Answer 1

Q5 Let p be the proportion of men entering at small liberal college in the fall of 2018.

a) We want to test the claim that the the proportion of men entering at small liberal college in the fall of 2018 is increased from 46%.

The hypothesis testing problem is:

Ho : p 0.46
Vs
Hi: p> 0.46

b) By using the schematic:

We have a one population.

The data is categorical (i.e male or female).

Therefore we can used one sample z test for the significance of population proportion.