Smartphones Many people have trouble setting up allthe features of their smartphones, so a company hasdeveloped what it hopes will be easier instructions. Thegoal is to have at least 96% of customers succeed. Thecompany tests the new system on 200 people, of whom188 were successful. Is this strong evidence that the newsystem fails to meet the company’s goal? A student’stest of this hypothesis is shown. How many mistakes canyou find?H0: pn = 0.96HA: pn ≠ 0.96SRS, 0.9612002 7 10188200 = 0.94; SD1pn2 = B 10.94210.062200 = 0.017 z = 0.96 - 0.940.017 = 1.18P = P1z 7 1.182 = 0.12

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Smartphones Many people have trouble setting up all
the features of their smartphones, so a company has
developed what it hopes will be easier instructions. The
goal is to have at least 96% of customers succeed. The
company tests the new system on 200 people, of whom
188 were successful. Is this strong evidence that the new
system fails to meet the company’s goal? A student’s
test of this hypothesis is shown. How many mistakes can
you find?
H0: pn = 0.96
HA: pn ≠ 0.96
SRS, 0.9612002 7 10
188
200 = 0.94; SD1pn2 = B
10.94210.062
200 = 0.017
z = 0.96 - 0.94
0.017 = 1.18
P = P1z 7 1.182 = 0.12
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