Question

Question: GRAPH the rejection region, p-value and critical value. (Create the normal distribution curve) Explain why we failed to reject the null hypothesis, the significance of this ALL OF THE DATA IS ALREADY PROVIDED including the critical value, test statistics etc.

YOU Don't need to solve anything just GRAPH THE REJECTION REGION, p-value, critical value. etc and explain why we failed to reject the null as provided below.

DATA: According to data, 72.4% of the population in Kahului, Maui drive alone for their commute to work. You believe this is too high and will perform a study at a 5% level of significance. A group of 30 people were sampled in Kahului, Maui where 21 people stated that they drive alone for their commute to work.

H0: p = 0.724
Ha: p < 0.724

pcap = 21/30 = 0.7

Test statistic,
z = (pcap - p)/(p*(1-p)/n))
z = (0.7 - 0.724)/(0.724 - (1-0.724)/30)
z = -0.03

p-value = 0.488
As p-value > 0.05, fail to reject H0

As this is left tailed test, critical value is to the left of standard curve critical value = -1.64

PLEASE READ DIRECTIONS CAREFULLY BEFORE REPLYING.

Answer 1