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x=317 n=350 Success rate(p) = x/n = 0.9057 = 0.1 Z/2 = 1.282 Null Hypothesis = Ho: p = 0.90 Alternative Hypothesis = H1 : p 0.90 z = p – p /(square…

by | Nov 28, 2023 | statistics

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x=317

n=350

Success rate(p) = x/n = 0.9057

?= 0.1

Z?/2 = 1.282

 Null Hypothesis = Ho: p = 0.90 

 Alternative Hypothesis = H1 : p > 0.90

z = p? – p /(square root (p (1-p))/n)

= (317/350) – 0.90/ square root((0.90)(1-0.90))/350

= 0.0057142857 / 0.0160356727

=0.3563471553 = 0.3563

Zo = 0.3563

Critical Value

Z?/2 = 1.282

 |zo | < | z alpha | 

p-value: right tail – Ha : ( p > 0.35635 ) = 0.36079

p?= x/n  317/350 =  0.9057142857 

Ho : 0.3563

H1: 0.36079

There are 317 (2s) and 33 (1s)

QUESTION :

Based on your sample proportion, what is the probability of randomly choosing 3 of the 350 participants and finding all 3 that would not purchase another lexus ?(calculations)

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