SOLUTION: Ayuh Fishin' Kamps on Moosehead lake advertises that 80% of its guests manage to catch fish every day they are there. A random sample taken last summer showed that 58 out of 80 gue
Algebra ->
Probability-and-statistics
-> SOLUTION: Ayuh Fishin' Kamps on Moosehead lake advertises that 80% of its guests manage to catch fish every day they are there. A random sample taken last summer showed that 58 out of 80 gue
Log On
Question 597285: Ayuh Fishin' Kamps on Moosehead lake advertises that 80% of its guests manage to catch fish every day they are there. A random sample taken last summer showed that 58 out of 80 guests did catch at least one fish every day.
A. What is the null hypothesis?
B. Is this 1-tailed or 2-tailed test?
C. What is the critical value for Z(alph=0.05)?
D.Do we reject or fail to reject the null hypothesis? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Ayuh Fishin' Kamps on Moosehead lake advertises that 80% of its guests manage to catch fish every day they are there. A random sample taken last summer showed that 58 out of 80 guests did catch at least one fish every day.
A. What is the null hypothesis?
Ho: p >= 0.8
Ha: p < 0.8
----
B. Is this 1-tailed or 2-tailed test?
Ha indicates it is a 1-tailed test.
--------------------------------------------
C. What is the critical value for Z(alph=0.05)?
z = 1.645
------------------
D.Do we reject or fail to reject the null hypothesis?
Sample proportion: 58/80 = 0.725
z(0.725) = (0.725-0.80)/sqrt(0.8*0.2/80) = -1.6771
---------------------
p-value = P(z < -1.6771) = 0.0476
------
Since the p-value is less than 5%, reject Ho.
==============================================
Cheers,
Stan H.
(