1.The probability density function, or pdf, tells you how dense the probability is at each particular point x. It does not tell you the probability at that point x. Group of answer choices A True B false 2. Which of the following statements is correct? Group of answer choices A The p-value changes when your data changes and so does your value of alpha. B The p-value changes when your data changes, but the value of alpha stays the same. C The p-value does not change when your data changes, and neither does your value of alpha. D The p-value does not change when your data changes, but your value of alpha does. 3. Which of the following statements is false? Group of answer choices A Statement 3: The degrees of freedom for a t distribution is n-1 B Statement 1: The smaller n is, the closer the t-distribution is to the Z distribution. C All of the 3 statements are false. D Statement 2: The t-distribution has a mean of 0. E.None of the 3 statements is false. 4. Which of the following statements is false? Group of answer choices A Statement 3: If X-has a normal distribution, X-bar is normal only if n > 30. B Statement 1: The standard error of X-bar is equal to the standard deviation of X C Statement 2: Suppose X has a non-normal distribution, Then X-bar has a normal distribution for any n by the CLT. D All of the 3 statements are false. E None of the 3 statements are false. 5. Suppose you surveyed 1000 randomly chosen people from your population and you found that 25% of them live in a rural area. You want to estimate the proportion of people who live in a rural area using your data. What is the margin of error? Choose the closest answer. Group of answer choices A 0.01 B Not enough information to tell. C 0.03 D 0.02 E 0.05