Coffee: The National Coffee Association reported that 62% of US adults drink cof

Question

Coffee: The National Coffee Association reported that 62% of US adults drink coffee daily. A random sample of 250 U.S. adults is seleci needed. Round your answers to four decimal places as Find the probability thar more than 64% or the sampled adults drimk coree daiy. The probability that more than 64% of the sampled adults drink coffee daily is 0.2578 Part 4 Find the probability that the proportion of the sampled adults who drink coffee daily is between 0.53 and 0.63 The probability that the proportion of the sampled adults who drink coffee daily is between 0.53 and 0.63 is0.6260 ]. Part 5 out of 6 Find the probability that less than 58% of sampled adults drink coffee daily. The probability that less than 58% of sampled adults drink coffee daily is search

Explanation / Answer

1) p^ = 0.62 , n = 250

Z = (p^ - 0.62)/(sqrt(0.62*0.38/250))

= (p^- 0.62)/0.030698534

P(p^> 0.64)

=P(Z>(0.64-0.62)/0.030698534)

=P (Z>0.65)=0.2578

4

P( 0.53 < p^ < 0.63)

=P ( 2.93<Z<0.33 )=0.6276

Part 5

P(p^ < 0.58)

P (Z<1.3)=0.0968

2)

P(p^ <0.57)

=P(Z<(0.57 - 0.65)/0.0517)

=P (Z<1.55)=0.0606

3)

P(p^ < 0.79)

=P(Z<(0.79-0.71)/(sqrt(0.71*0.29/135))

=P (Z<2.05)=0.9798

P(0.66 < p^< 0.80)

= P ( 1.28<Z<2.3 )=0.889

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