In a recent interview, the producers of "Big Brother" claimed that one-third of the 15 to 24 age group regularly watch reality TV shows. A UQ academic wishes to test this claim. From a survey of 250 people in this age group, it was found that 107 regularly watched reality TV shows. Assume that the survey data were collected through a random sample and use alpha = 1%.

1)State the direction of the alternative hypothesis used to test the producers' claim. Type gt (greater than), ge (greater than or equal to), lt (less than), le (less than or equal to) or ne (not equal to) as appropriate in the box. [ ]

2)Calculate the test statistic, reporting your answer to two decimal places. [ ]

3)Use the tables in the textbook to determine the p-value for the test, to four decimal places. [ ]

4)Is the null hypothesis rejected for this test? Type yes or no. [ ]

5) Disregarding your answer for 4, if the null hypothesiswas rejected, would the producers' claim appear to be valid at the 1% level? Type yes or no.[ ]