We are collecting data about the question "Is English your second language?" For the female, 19 students say YES and 28 students say NO

and for males, 13 students say YES and 36 say NO.

Hypothesis Testing:

a)Decide on a claim to test, meaning construct Ho and HA. Also, explain in words the meaning of your population parameters.

b)Is your test a left tail, right tail, or 2 tail test? Why did you decide on this (Note: Many times, this will be up to you as a statistician & what you believe are the appropriate inequalities to use.)

c) What is the value of your significance level? You can choose your own.

d) What are the type I & type II errors? Explain them in the context of the problem.

e) Describe the sample statistic in words. What is the distribution of the sample statistic? Explain why it has this distribution.

f) Use your graphing calculator to calculate the test statistic & p-value. State which calculator command you used and explain why.

g) Sketch a graph of the region whose area the p-value represents. Label the values of the horizontal axis with the appropriate values.

h) Define the p-value in the context of the problem.

i) Do you reject or fail to reject the null hypothesis? Why or why not?

j) Interpret your conclusion in the context of the problem.