In a recent survey of 140 randomly selected college students, 81 said that they believe in the existence of extraterrestrial life.
A) Find p?, the sample proportion that believes that there is extraterrestrial life.
B)The 99 % margin of error associated with this estimate is:
C)The 99 % confidence interval for the true proportion of all college students who believe there is extraterrestrial life is:
D) Suppose the proportion of the general US population who beleive in extraterestrial life is 0.38. Choose the appropriate null and alternative hypothesis that tests whether the proportion of college students who beleive in extraterestrial life in greater than the general population?
E) Calculate the z test statistic and p-value. (Round the answers to three decimal places).
F) Based on the p-value, give a cnclusion in terms of the alternative.