SOLUTION: HELP, Please assist me on this question, Thank you in advance! A coin was flipped 60 times and came up heads 38 times. (a) At the .10 level of significance, is the coin biased towa

Click here to see ALL problems on Probability-and-statistics

Question 130789: HELP, Please assist me on this question, Thank you in advance! A coin was flipped 60 times and came up heads 38 times. (a) At the .10 level of significance, is the coin biased toward heads? Show your decision rule and calculations. (b) Calculate a p~value and interpret it.
I don't have a ISBN number since it is an online course.
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
A coin was flipped 60 times and came up heads 38 times.
(a) At the .10 level of significance, is the coin biased toward heads? Show your decision rule and calculations.
--------------------
p-hat = x/n = 38/60 = 19/30
----------------------------
Ho: p = 1/2
Ha: p > 1/2
----------------
Critical value: z = 1.28
---------------
Test statistic: z(19/30) = (0.633333-0.5)/sqrt[(.5)(.5)/60]
= 0.13333*sqrt(60)/0.5 = 2.065
----------------
Since test statistic is greater than critical value, Reject Ho.
The coin is biased toward heads.
================================
(b) Calculate a p~value and interpret it.
P(2.065 < z < 10) = 0.019...
The probability the test results could have produced even stronger
evidence of the coin's bias towards heads is 0.019...
====================
Cheers,
stan H.