Refer to Exercise 9.65. Some thought should have been given to designing a test for which is tolerably low when p1 exceeds p2 by

Refer to Exercise 9.65. Some thought should have been given to designing a test for which β is tolerably low when p1 exceeds p2 by an important amount. For example, find a common sample size n for a test with α = .05 and β ‰¤ .20 when in fact p1 exceeds p2 by 0.1.
Exercise 9.65
In a study to compare ethnic differences in adolescents' social stress, researchers recruited subjects from three middle schools in Houston, Texas. A tabulation of student responses to a question regarding their socioeconomic status (SES) compared with other families in which the students chose one of five responses (much worse off, somewhat worse off, about the same, better off, or much better off) resulted in the tabulation that follows.

European African Hispanic Asian American American American American Sample Size About the Same 144 68 19 42 48