Asked by Ikhlas Salih on Jul 02, 2024
Verified
Two independent random samples of sizes 
and 
have been selected from binomial populations with parameters 
and 
, respectively, and resulted in 38 and 65 success, respectively. Then the standard error of 
is estimated as .077.
Binomial Populations
Groups of individuals or events subjected to a binomial experiment, where outcomes are categorized into two distinct categories.
Independent Random Samples
Groups of randomly selected samples from a population where the selection of an item for one sample does not influence the selection for another sample.
Standard Error
The standard deviation of the sampling distribution of a statistic, most commonly the mean, which provides a measure of its precision.
- Comprehend and utilize the notion of standard error within the framework of confidence intervals.
Verified Answer
MW
Malachi Woods6 days ago
Final Answer :
True
Explanation :
The standard error of the difference between means formula is SE = sqrt[(s1^2/n1) + (s2^2/n2)], where s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes. Given that the standard error of is estimated as .077, we can assume that the formula was used to estimate the standard error. Therefore, the statement is true.
is estimated as .077, we can assume that the formula was used to estimate the standard error. Therefore, the statement is true.
Learning Objectives
- Comprehend and utilize the notion of standard error within the framework of confidence intervals.