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 npK, nk (1- Px) and n PL, n (1- PL) 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 O0.614 0.662 0.841

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Chapter8: Sequences, Series,and Probability
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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 ngPK, nk (1 - Pk) and n PL, n̟ (1-PL) 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
Transcribed Image Text: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 ngPK, nk (1 - Pk) and n PL, n̟ (1-PL) 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
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