The Northern Area Health Service conducted a telephone survey in which subjects were asked the number of servings of vegetables they had consumed the previous day. It is believed that a healthy diet consists of at least five servings of vegetables per day. Of the 158 males aged between 25 and 40 interviewed, 94 responded that they had consumed five or more servings of vegetables the previous day. 1. What is the sample proportion of males who consume five or more servings of vegetables per day? (2 dp) 2. What is the estimated standard error of the sample proportion? (3 dp) 3. What is the lower limit of the 95% CI for p? (3 dp) 4. What is the upper limit of the 95% CI for p? (3 dp) Nutritionists believe that only 51% of men in this age-range consume enough vegetables. 5. The null hypothesis is Ho: p = ? (2 dp) 6. What is the standard error of the sample proportion? (2 dp) 7. What is the absolute value of the test statistic (using a z-test)? (2 dp) 8. What is the P-value associated with this test? (3 dp) 9. Using a 5% significance level what would be your decision