On a sample of 30 women and 20 men, 12 men like footbaill, while 15 men like football. Is there evidence for gender difference?
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)?