Question 1 0/1 pt ) 3 99 0 Details Suppose the true proportion of voters in the county who support a new fire district is 0.41. Consider the sampling distribution for the proportion of supporters with sample size n = 212. What is the mean of this distribution? What is the standard error of this distribution? Question Help: B Written Example Submit Question Question 2 0/1 pt O 3 99 0 Details For each problem, the sample size, and proportion p are given. Determine if the sample size is large enough to assume normality in our distribution of p. (a) n = 50 and p = 0.3 Select an answer (b) n = 50 and p = 0.05 Select an answer (c) n = 15 and p = 0.45 |Select an answer (d) n = 60 and p = 0.25 Select an answer (e) n = 80 and p = 0.1 Select an answer VI Question Help: B Written Example Submit Question Question 3 0/1 pt 0 3 99 0 Details Suppose the true proportion of voters in the county who support a school levy is 0.45. Consider the sampling distribution for the proportion of supporters with sample size n = 160. What is the mean of this distribution? What is the standard error (i.e. the standard deviation) of this sampling distribution, rounded to three decimal places? Submit Question0 Question 4 B on pt '0 3 23' 99 G) Details In an election, suppose that 65% of voters support a new tax on fast food. If we poll 1?1 of these voters at random, the probability distribution for the proportion of the polled voters that support a new tax on fast food can be modeled by the normal distribution pictured below. The bell curve below represents the distribution of these sample proportions. The scale on the horizontal axis is the standard deviation of the sampling distribution. So each tick mark represents a distance of one standard deviation on the distribution, with the middle tick mark being the mean of the distribution. Complete the boxes accurate to two decimal places . Note that the second box is at the mean. The first box is two standard deviations below the mean, and the third box is two standard deviations above the mean. Complete the boxes accurate to two decimal places . 0 Question 5 B on pt '0 3 8 99 G) Details Suppose that 35% of all business executives are willing to switch companies if offered a higher salary. If a headhunter randomly contacts a simple rand om sample of 100 executives, what is the probability that over 40% will be willing to switch companies if offered a higher salary? a) Find the z-score of the boundary first. Round to 2 decimal places. b} Find the probability of your z-score using a normal calculator or table. Question Help: El Written Example