You are studying various aspects of reproduction in an endangered migratory bird
ID: 3058852 • Letter: Y
Question
You are studying various aspects of reproduction in an endangered migratory bird along the Front Range, and you wish to test the hypothesis that the sex ratio is 50% Male, 50% female. You randomly catch 10 birds using mist nets, and observe that 7 out of the ten birds is female.
State a null hypothesis about the proportion of females in the population (1pts)
State an alternative hypothesis (1pts)
Calculate a test statistic (1pts)
Generate the Binomial null distribution based on your null hypothesis. You may do the calculations in R if you would like, but describe how you went about calculating the values necessary to construct the null distribution. Present the null distribution as either a table or a figure. (2pts)
Use your null distribution, your alternative hypothesis, and your test statistic to calculate a p-value (1pts)
If you set alpha at 0.05, do you reject the null? And, what biological conclusion do you draw from the results of the statistical test? (2pts)
Explanation / Answer
You are studying various aspects of reproduction in an endangered migratory bird along the Front Range, and you wish to test the hypothesis that the sex ratio is 50% Male, 50% female. You randomly catch 10 birds using mist nets, and observe that 7 out of the ten birds is female.
State a null hypothesis about the proportion of females in the population (1pts)
State an alternative hypothesis (1pts)
Calculate a test statistic (1pts)
Generate the Binomial null distribution based on your null hypothesis. You may do the calculations in R if you would like, but describe how you went about calculating the values necessary to construct the null distribution. Present the null distribution as either a table or a figure. (2pts)
Use your null distribution, your alternative hypothesis, and your test statistic to calculate a p-value (1pts)
If you set alpha at 0.05, do you reject the null? And, what biological conclusion do you draw from the results of the statistical test? (2pts)