Here is a problem that I have been working on. I am mixed up on the different testing formulas. I included what i did so far after each question. Thanks for looking
It is suspected that a particular die used in a game of chance was not fair. It was thought that the 1-side was heacy and the 6-side was light. Data was collected concerning the number of observed 1-s when the die was rolled 5000 times. Let p1 equal the probability of rolling a one with that die. We will test the hypothesis H0 p1=1/6 against the alternative hypothesis H1 p1<1/6 (i don't understand why this is < either)
a. give the test statistic and critical region that has an alpha=0.01 significant level
test stat
crit. reg.
b. If y=775 is the observed number of ones in the 5000 rolls, calculate the value of the test statistic and state conclusion about the die
-2.21<-2.36
since -2.21 is not less than -2.36, H0 fails to be rejected
c. find the p-value for this test
? This part confuses me because of the negative test statistic. I don't know how to calculate the p-value and which way the equality should be facing.
Thanks
since your p-value, .0136, is greater than alpha, you fail to reject the null hypothesis.
DRAW a st normal curve and look at both your test stat and where the rejection region begins.
If the p-value is less than alpha, then your test statistic is in your rejection region.
Hence you reject the null hypothesis is this case.
Likewise if the p-value is large (in comparison to alpha) you fail to reject the null hypothesis.
So rather than it should be ?
The example I have for alternate hypothesis of showed a p value of , so that is why I assumed to just reverse the equality but the negative confused me. I can't find much material on finding the p-value.