Question

b) The probability that 22 or fewer out of 14 jurors are​ minorities, assuming that the proportion of the population that are minorities is 41​%, is nothing.

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

Answer 1

Solution

Given that,

p = 0.41

1 - p = 1 - 0.41 = 0.59

n = 22

= p = 0.41

=  [p ( 1 - p ) / n] =   [(0.41 * 0.59) / 22 ] = 0.1049

x = 14

Point estimate = sample proportion = = x / n = 14 / 22 = 0.64

P( < 0.64)

= P[( - ) / < (0.64 - 0.41) / 0.1049 ]

= P(z < 2.19)

Using z table,

= 0.9857