Which of the following criteria must be met to do a one-sample test for a proportion?
A. The data values in the sample must be independent.
B. The parent population must be normally distributed.
C. The data must come from a random sample.
D. The sample size must be more than 10% of the population size.
E. The sample size must be less than 10% of the population size.
F. You must expect at least 10 "successes" and at least 10 "failures", that is np ≥ 10 and nq ≥ 10
A) A, B, C, F
B) A, C, D, F
C) A, B, D, F
D) A, B, E, F
E) A, C, E, F
I thought c but was wrong again
The correct answer is option C) A, B, D, F.
To do a one-sample test for a proportion, the following criteria must be met:
A. The data values in the sample must be independent: This means that each observation in the sample should not be influenced by any other observation.
B. The parent population must be normally distributed: This assumption is necessary for the validity of many statistical tests. However, for large sample sizes (typically more than 30 observations), the normality assumption becomes less important due to the Central Limit Theorem.
C. The data must come from a random sample: The sample should be selected randomly from the population of interest to ensure that it is representative of the population.
D. The sample size must be more than 10% of the population size: This assumption is important to ensure that the sample proportion is a good estimator of the population proportion. If the sample size is too small, the estimate may not be reliable.
F. You must expect at least 10 "successes" and at least 10 "failures", that is np ≥ 10 and nq ≥ 10: This assumption ensures that the sampling distribution of the sample proportion is approximately normally distributed.
Option C) A, B, D, F includes all the correct criteria that must be met for a one-sample test for a proportion.