Question 4

Consider a sample of 110 women drawn randomly from the membership list of the National Organization of Women, 25 of whom were found to smoke. Use the result of this sample to test whether the rate found is significantly different from the US proportion of 0.30 for women. Use a significance level of 0.05 to draw conclusions.

a) What is the value the null hypothesis is equal to (in other words what is p0

b) What is the sign of the alternative hypothesis (less/greater/not equal)?

c) Is this a Z or T test (Z or T)?

d) What is the value of the test statistic, rounded to 4 decimal places?

e) If you could drawn the region for the p-value, how many sides would you shade in (1 or 2)?

f) If the p-value was 0.0957, what is your conclusion (reject or fail to reject)?

g) Make a conclusion statement in the context of the problem (one or two sentences). Remember if you reject a 2 sided alternative, you will need to make a conclusion on the not equal to and then make a follow-up conclusion (not another test) as to which one-sided case actually happened.