Population proportions refer to the proportion or percentage of a specific characteristic or attribute within an entire population.
Imagine you have a bag of 100 candies, and you want to know what percentage of them are red. The population proportion would be the actual percentage of red candies in the entire bag.
Sample Proportions: Sample proportions are estimates calculated from data collected from a smaller subset, or sample, of a larger population.
Standard Error: Standard error measures how much variation exists between different samples taken from the same population and provides an estimate for how accurate our statistic (e.g., mean or proportion) is likely to be compared to the true population parameter.
Confidence Interval: A confidence interval is a range of values within which we can reasonably estimate the true population proportion with a certain level of confidence.
What is the center of the sampling distribution(B - A) for the difference in sample proportions if the true population proportions of City A and City B are 0.6 and 0.7?
How do we check the normal condition when conducting a significance test for the difference in two population proportions?
What conditions must be met to ensure that a significance test for the difference in two population proportions can be appropriately conducted?
Suppose you conduct a significance test for the difference in two population proportions with the significance level set at 0.10. If the p-value is 0.17, what can you conclude?
Which formula is used to calculate the z-score in a test for the difference in two population proportions?
What does it mean if the z-score in a test for the difference in two population proportions is higher than 2 or 3?
A statistics student is conducting a hypothesis test for the difference in two population proportions. They calculate a p-value of 0.02. What can they conclude?
A researcher is using a z-score to perform a significance test for the difference in two population proportions. The calculated z-score is -1.8. What can the researcher conclude?
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