The proportion of americans who support the death penalty is 0.53. a sample of 1000 randomly selected americans is surveyed by telephone interview. the probability that the sample proportion of those supporting the death penalty will be less than 0.50 is

Let P be the proportion of americans who support the death penalty is which is 0.53.

P follows Normal distribution with parameters

mean = p=0.53

standard deviation =

=

standard deviation = 0.0157

The probability that the sample proportion of those supporting the death penalty will be less than 0.50

P(P < 0.50) =

= P(Z < -1.91)

P(P < 0.50)= 0.0281

The probability that the sample proportion of those supporting the death penalty will be less than 0.50 is 0.0281

a

step-by-step explanation:

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