Arecent study reports that only 34% of americans consume their daily recommended intake of fiber. a nutritionist takes a srs of 45 individuals who come to her for a diet consultation and records whether or not each gets their daily recommended intake of fiber. she finds that 18 of out the 45 do, or 40%. what is the distribution of the sample proportion? p ~ n (0.40, 0.0732) p ~ n (0.40, 0.0712) p^^\^ ~ n (0.34, 0.0712) p^^\^ ~ n (0.34, 0.0732) the sample size is too small to say what the distribution of the sample proportion is.

The distribution of the sample proportion ~ N(0.4, 0.07302)

Step-by-step explanation:

The distribution of the data can be modeled with a binomial distribution with probability p = 0.4 of finding a person that consume her or his daily recommended intake of fiber, and q = 0.6

If n is the sample size, we must check if np ≥  10 and nq ≥ 10, so we can approximate the Binomial with a Normal distribution.

The sample size is 45

45*0.4 = 18 > 10 and 45*0.6 = 27 > 10.

The distribution of the sample proportion ~ the Normal with mean p and standard deviation  

and  

The distribution of the sample proportion ~ N(0.4, 0.07302)

answer: it is 1: 47 pm

2/3

step-by-step explanation: