SOLUTION: It has been determined that 37 out of 100 adult Americans that did not attend college believe in extra-terrestrials. However, from a random sample of 100 adult Americans that did n
Algebra ->
Statistics
-> Hypothesis-testing
-> SOLUTION: It has been determined that 37 out of 100 adult Americans that did not attend college believe in extra-terrestrials. However, from a random sample of 100 adult Americans that did n
Log On
Question 1183969: It has been determined that 37 out of 100 adult Americans that did not attend college believe in extra-terrestrials. However, from a random sample of 100 adult Americans that did not attend college 43 claim that they believe in extra-terrestrials. Does this indicate that the proportion of people who did not attend college and who believe in extra-terrestrials has changed? Conduct a hypothesis test with a = 0.01 and interpret the results. (10 points) Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! Ho: proportion =0.43
Ha: proportion NE 0.43
alpha=0.01 p{reject Ho|Ho true}
test is a z
reject for |z|>2.576
calculate z=(phat-p)/sqrt(0.37*0.63/100)
=0.06/0.048
=1.24
fail to reject Ho; insufficient evidence to say there is a difference at the 1% level of significance.
p-value=0.22