You are the member of a commission that studies the gender inequalities. From a survery, you obtain that, on a random sample of 40 managers, 12 are females. Knowing that the employment share is 45% femailes. Is there a gender imbalance in the manager share?
a. state the null hypothesis
b. State the test you will use(one or two tails,Z or t)
c. Decide the level of significance (?r the confidence level)
d. find the region of non rejection for your variable (or the region of rejection)
e. Find the value of your variable
f. decide if your null hypothesis is rejected or not
g. If we assume the proportion does not change what should be the sample size in order to reject the null hypothesis (in case it were not rejected)?