3. [-/1.75 Points] DETAILS PECKSTAT2 8.E.031.S. MY NOTES ASK YOUR TEACHER An article describes a study of 45 males with pierced tongues. Suppose that it is reasonable to regard this sample as a random sample from the population of all males with pierced tongues. The researchers found receding gums, which can lead to tooth loss, in 28 of the study participants. In USE SALT (a) Suppose you are interested in learning about the value of p, the proportion of all males with pierced tongues who have receding gums. This proportion can be estimated using the sample proportion, p. What is the value of p for this sample? (Round your answer to two decimal places.) (b) Based on what you know about the sampling distribution of p, is it reasonable to think that this estimate is within 0.05 of the actual value of the population proportion? Explain why or why not. (Hint: See Example 8.4. Round your answer to three decimal places.) --Select--- @ reasonable to think that this estimate is within 0.05 of the actual value of the population proportion. The sampling distribution of p --Select- @ approximately normal, so the margin of error for this estimate is , which is ---Select--- @ than 0.05. Need Help? Read It Watch It