Question

# A survey showed that 81​% of adults need correction​ (eyeglasses, contacts,​ surgery, etc.) for their eyesight....

A survey showed that 81​% of adults need correction​ (eyeglasses, contacts,​ surgery, etc.) for their eyesight. If 9 adults are randomly​ selected, find the probability that at least 8 of them need correction for their eyesight. Is 8 a significantly high number of adults requiring eyesight​ correction?

The probability that at least 8 of the 9 adults require eyesight correction is_____

​(Round to three decimal places as​ needed.)

.

SOLUTION:

From given data,

A survey showed that 81​% of adults need correction​ (eyeglasses, contacts,​ surgery, etc.) for their eyesight. If 9 adults are randomly​ selected, find the probability that at least 8 of them need correction for their eyesight. Is 8 a significantly high number of adults requiring eyesight​ correction

from binomial distribution probability that at least 8 of the 9 adults require eyesight correction is

Where

P(X > 8)=P(X=8)+P(X=9)

= 0.467

as probability of 8 or more of them need correction for their eyesight is less then 0.05 level ; therefore it is a significantly high number of adults requiring eyesight correction out of 9

.

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