i; A school cafeteria is interested in changing the school menu. Based on past data, the cafeteria claims that no more than 65% of students buy lunch from the cafeteria every day. 1. State the direction of the alternative hypothesis used to test the cafeteria's 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. A student, who did not originally believe the claim, took a random sample of 200 students in the school to test the validity of the claim. She found that 150 students bought lunch from the cafeteria every day. 2. Use the required statistical table to determine the critical value of the test statistic using a 2% level of signicance. If there are two critical values, state only the positive value. 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 rejected, can we conclude that no more than 65% of students buy lunch from the cafeteria every day at the 2% level of signicance? Type yes or no