A scientist wants to determine whether or not the height ofcacti, in feet, in Africa is significantly higher than the heightof Mexican cacti. He selects random samples from both regions andobtains the following data.
Africa:
Mean = 12.1
Sample size = 201
Mexico:
Mean = 11.2
Sample size = 238
(a) Which of the following would be the correct hypothesis testprocedure to determine if the height of cacti, in feet, in Africais significantly higher than the height of Mexican cacti?
Paired t-testTwo-sample test forproportions    Two-sample t-test
(b) What is the value of the sample statistic to test thosehypotheses?  (2 decimal places)
(c) If the T test statistic is 2.169, and df = 202, find thep-value.  (3 decimal places)
(d) Select the correct conclusion at alpha = 0.05.
The null hypothesis is rejected. There is sufficient evidencethat African cacti are taller on average.The null hypothesis is notrejected. There is sufficient evidence that African cacti aretaller on average.    The null hypothesis isnot rejected. There is insufficient evidence that African cacti aretaller on average.The null hypothesis is rejected. There isinsufficient evidence that African cacti are taller on average.
(e) Explain the type of error, in context, that might have beenmade.
Type II error, which means the scientist concluded there is asignificant difference between average height of cacti in Africaand cacti in Mexico, when in reality there is no difference.Type Ierror, which means the scientist concluded there is a significantdifference between average height of cacti in Africa and cacti inMexico, when in reality there is nodifference.    Type I error, which means thescientist concluded there is not a significant difference betweenaverage height of cacti in Africa and cacti in Mexico, when inreality there is a difference.Type II error, which means thescientist concluded there is not a significant difference betweenaverage height of cacti in Africa and cacti in Mexico, when inreality there is a difference.
(f) What would the p-value have been if we had done a two-tailedtest? (3 decimal places)
