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V V(110x(200-110)/200) (0.55x(1-0.55)) V(110x(200-110)) (0.55x(1-0.55)/200) 0.55x(1-0.55)/100 We do not have enough information to make this estimate.Question 11 Not yet answered Marked out of 4.00 V Remove flag Suppose we are interested in the proportion of statistics students at this university who are female. We do a survey of 100 randomly selected students and ask them to indicate if they are male or female by ticking a box marked 'M' or a box marked 'F' on the survey form. When we get the responses, we find that 60 students have ticked the box marked 'F' (40 have ticked the box marked 'M'). ('I) What is the sample proportion of the number of statistics students who are female? (2) Have the necessary conditions been been met to allow us to calculate a confidence interval for the proportion of statistics students who are female from this sample? : We do another survey, this time using a random sample of 200 students and find that 110 students have ticked the box marked 'F' (90 have ticked the box marked 'M'). (3) Using the second sample, what is the sample proportion of statistics students who are female (type the proportion, correct to 2 decimal places, into the box) Our sample size is now definitely big enough for us to assume that the sampling distribution of the sample proportion is approximately normal. (4) Using the second sample, what expression would we use to estimate the standard deviation of this sampling distribution? V 60/100 40/100 We can't tell this from the sample dataV Yes No We can't tell this from the sample data