The question given is incomplete, here is a complete one gotten from google:
Consider a situation in which a random sample of 1000 adults is surveyed and the proportion that primarily buys organic vegetables is found. If a new random sample of 1000 adults is taken from the same population, explain whether each of the following would change:
a. The population proportion.
b. The sample proportion .
c. The standard deviation of the sample proportion.
d. The standard error of the sample proportion.
e. The sampling distribution of the sample proportion , including its shape, mean, and standard deviation.
Answer:
a. The population proportion, p will also not change.
b. There would be a change in the sample proportion.
c. The standard deviation of the sample proportion will change
d. The standard error of the sample proportion will change
e. The sampling distribution will not change
Step-by-step explanation:
a. Inasmuch there is no change in the population parameter, the population proportion, p will also not change.
b. Sample statistics vary from sample to sample, thus, there would be a change in the sample proportion.
c. The standard deviation of the sample proportion will change, since it depends on the new sample proportion.
d. The standard error of the sample proportion will change, since it depends on the new sample proportion.
e. The sampling distribution will not change with the new random sample since it is dependent on the population.
