Among the senior class at a high school, 55% of Ms. Keating's students plan on majoring in a branch of STEM while 49% of Ms. Lewis's students plan on majoring in a branch of STEM. Suppose Ms. Keating chooses 25 of her students at random and Ms. Lewis chooses 23 of
her students at random. Since nkPk, NK (1 - Pk) and nipu (1-P) are all greater than 10, the Normal condition is met let k = the proportion of
Ms. Keating's students from the sample who plan on majoring in a branch of STEM, and let L = the proportion of Ms. Lewis's students from
the sample who plan on majoring in a branch of STEM. What is the probability that the proportion of students who plan on majoring in a
branch of STEM is greater for Ms. Keating? Find the z-table here 0.338 0.614 0.662 0.841