Recall That The Clt States That If You Take Repeated Samples Of Size N From A Population Regardless Of Whether Or Not I 1 (48.28 KiB) Viewed 28 times
Recall That The Clt States That If You Take Repeated Samples Of Size N From A Population Regardless Of Whether Or Not I 2 (14.14 KiB) Viewed 28 times
Recall That The Clt States That If You Take Repeated Samples Of Size N From A Population Regardless Of Whether Or Not I 3 (10.87 KiB) Viewed 28 times
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: H = μ and o = 1 σ √n 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: Hp = p and op = P q n Here, p is the "population proportion" and p' is the "sample proportion". You should recognize the standard deviation formula above as part of the margin of error formula for a Z- interval for a population proportion. Now, suppose that 18% of a population has a virus. Find the probability that if you take a random sample of 193 members of this population, over 13% have the virus. In other words, assuming that p = 0.18, find P(p'> 0.13). You can use the normalcdf command, with the mean and standard deviation from the formulas above. Submit Question
Suppose that a poll of 338 voters finds that 22% of those surveyed support Measure A. What is q'? Enter as a decimal. Do not round your answer. Submit Question
A sample of 2200 people were asked if they felt "good" about the economy. A 95% CI for the proportion who answer 'yes' is: 0.47 < p < 0.55 How many people in the sample answered yes? Enter as a whole number. Submit Question
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