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.

Question

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.

Quizplus · Accepted Answer

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 11eb6b9e_0648_c8f7_8d9d_5b91939404dc_TB8220_11 is estimated as .077, we can assume that the formula was used to estimate the standard error. Therefore, the statement is true.

Two Independent Random Samples of Sizes and Have