Final answer:
The statement about the statistical inference concerning the difference between two population proportions being used for qualitative data is true. so, option a is the correct answer.
Step-by-step explanation:
The statistical inference concerning the difference between two population proportions is used to analyze qualitative data. Therefore, the statement is true. When conducting a hypothesis test that compares two independent population proportions, we are often dealing with categorical data which can be summarized as Success/Failure or Yes/No. Such situations involve comparing the proportions from different populations to find if there is a statistically significant difference between them.
The statistical inference concerning the difference between two population proportions is used for quantitative data, not qualitative data. When dealing with qualitative data, such as categorical variables with two categories (e.g., success or failure, yes or no), we use proportion problems. For example, we can estimate the true population proportion of smokers or the proportion of people voting for a certain candidate.
For instance, to determine if there is a difference in the proportion of males vs. females passing their driver's test on the first attempt, a hypothesis test of two proportions would be used. This involves calculating point estimates and constructing confidence intervals to make inferential statistics about the population, based on sample data.