While studying for ECON1310 at the library with your friends, all of you decide to take a break after working hard on some hypothesis testing. Upon reaching the food court, you realize that a lot of people are lining up to buy Sushi. Your friend claims that at least 40% of UQ's student population prefer to eat Sushi for lunch. Seeing this as an opportunity to apply your ECON1310 knowledge, you decide to test this claim. 1. State the direction of the alternative hypothesis used to test the claim. Type gt (greater than), ge (greater than or equal to), It (less than), le (less than or equal to) or ne (not equal to) as appropriate in the box. After taking a random sample of 129 students at UQ to test the validity of the claim, you found that 57 of them prefer to eat Sushi for lunch. 2. Use the required statistical table to determine the critical value of the test statistic using a 2% level of significance. If there are two critical values, state only the positive value, correct to two decimal places. 3. Calculate the test statistic, correct to two decimal places. 4. Is the null hypothesis rejected for this test? Type yes or no. 5. Regardless of your answer for 4, if the null hypothesis was not rejected, can we conclude that at least 40% of students at UQ prefer to eat Sushi for lunch at the 2% level of significance? Type yes or no.