in a poll of 212 prison wardens, 98 said that tattoos are a sign of trouble. Find the sample proportion who think tattoos are a sign of trouble.

Question

in a poll of 212 prison wardens, 98 said that tattoos are a sign of trouble. Find the sample proportion who think tattoos are a sign of trouble.


1.
Using the problem above, to test the claim that less than half of all prison wardens think tattoos are a sign of trouble, write the null and alternative hypothesis.

2.
Using the problem above, find the value of the test statistic.

3.
Find the P-value for the test statistic you just found.

4.
Test the claim at the .01 significance level and state whether the null hypothesis is rejected or not.

5.
State the conclusion for the claim that less than half of prison wardens dislike tattoos.

Answer 1

98 out of 212 think tattoos are a sign of trouble

that's 98/212 = 49/106 = about .46226

= about .4623 rounded to 4 decimal places = x = sample proportion

null hypothesis is

x < .5000 for the population proportion

alternative hypothesis is x = or > .5000

one tailed test

fail to reject the null hypothesis