Recall that the CLT states that if you take repeated samples of size n from a population, regardless of whether or not it is normally distributed, then as long as n > 30 the resulting sampling distribution for a will be normally distributed with: HE - / and Of = The standard deviation formula above is used in the margin of error formula for a Z-interval for a population mean. A similar result is that if you take repeated samples from a binomial distribution, then as long as n is large enough that there are at least 5 successes and 5 failures then the resulting sampling distribution for p' will be normally distributed with: p q Up' = p and op. n Here, p is the "population proportion" and p' is the "sample proportion". You should recognize the standard deviation for nula above as part of the margin of error formula for a Z- interval for a population proportion. Now, suppose that 12% of a population has a virus. Find the probability that if you take a random sample of 149 members of this population, over 9% have the virus. In other words, assuming that p = 0.12, find P(p' > 0.09). You can use the normalcdf command, with the mean and standard deviation from the formulas above. Submit