Posted by **Robert** on Sunday, June 6, 2010 at 3:34pm.

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

- Statistics -
**MathGuru**, Sunday, June 6, 2010 at 9:35pm
Here is one way you might do this problem:

Null hypothesis is that the coin is fair. Ho: p = .5

Alternate hypothesis is that the coin is unfair. Ha: p not equal to .5

Using the binomial formula: P(x) = (nCx)(p^x)[q^(n - x)]

...where n = number of coin tosses, x = number of times came up heads, p = probability given in the null hypothesis, q = 1 - p.

Using your data:

P(38) = (60C38)(.5^38)(.5^22) = ?

I'll let you finish the calculation.

If the alternate hypothesis uses "not equal to" then you multiply the result of the calculation by 2.

Reject the null hypothesis if the test statistic above is less than .10 (significance level); otherwise, do not reject null.

## Answer this Question

## Related Questions

- Word Problem - A coin was flipped 60 times and came up heads 38 times. (a) At ...
- Statistics - A coin was flipped 60 times and came up heads 38 times. (a)at the ....
- statistics - A coin was flipped 60 times and came up heads 38 times. (a) At the...
- probability - Suppose an unfair coin comes up heads 52.2% of the time if it is ...
- Statistics - You are shown a coin that its owner says is fair in the sense that ...
- science - A coin will be tossed 15 times, and I have to decide whether it lands ...
- math - In a game, a player tosses a coin 4 times. If the player gets 3 or 4 ...
- Math - "The probability of getting heads on a biased coin is 1/3. Sammy tosses ...
- math - I flipped a coin 25 times. So since I got heads 15 times, does that mean ...
- CALC - A biased coin whose chance of heads is 0.4 is tossed five times in a row...