Probability Of Sample Proportion. Suppose you take a random sample of 100 students. It is reasonable to expect all the sample proportions in repeated random samples to average out to the underlying population proportion 06. You may assume that the normal distribution applies. C What is the probability that the sample proportion is between 030 and 040.
The population proportion is denoted p and the sample proportion is denoted ˆp. The sample proportions p and q are calculated from the data. You just need to provide the population proportion p p the sample size. The normal condition for sample proportions. A manufacturer makes earbuds that have a probability of 002 of being defective. You may assume that the normal distribution applies.
D What is the probability that the sample proportion is less than 0028.
Finding the probability that a sample proportion will differ from the population by more than a given amount. The sample proportions p and q are calculated from the data. Mean and standard deviation of sample proportions. You may assume that the normal distribution applies. In other words the mean of the distribution of p-hat should be p. A marketing survey telephones 400 people at random.