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Answer is provided need step by step solution 7.2.11 Massachusetts residents overall are more wealthy than...

Answer is provided need step by step solution

7.2.11 Massachusetts residents overall are more wealthy than the average American. Approximately 70% of all children in Massachusetts live at least 200% above the poverty level. If a random sample of 480 Massachusetts residents was selected, what is the probability that between 65% and 75% live at least 200% above the poverty level? (0.9832)

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Answer #1

Solution

Given that,

p = 0.70

1 - p = 1 - 0.70 = 0.30

n = 480

= p = 0.70

  [p ( 1 - p ) / n] = [(0.70 * 0.30) / 480 ] = 0.0209

P( 0.65 < < 0.75)

= P[(0.65 - 0.70) /0.0209 < ( - ) / < (0.75 - 0.70) / 0.0209]

= P(-2.39 < z < 2.39)

= P(z < 2.39) - P(z < -2.39)

Using z table,   

= 0.9916 - 0.0084

= 0.9832

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