Question

When a scientist conducted a genetics experiments with​ peas, one sample of offspring consisted of 953 ​peas, with 723 of them having red flowers. If we​ assume, as the scientist​ did, that under these​ circumstances, there is a 3 divided by 4 probability that a pea will have a red​ flower, we would expect that 714.75 ​(or about 715​) of the peas would have red​ flowers, so the result of 723 peas with red flowers is more than expected. a. If the​ scientist's assumed probability is​ correct, find the probability of getting 723 or more peas with red flowers. b. Is 723 peas with red flowers significantly​ high? c. What do these results suggest about the​ scientist's assumption that 3 divided by 4 of peas will have red​ flowers? a. If the​ scientist's assumed probability is​ correct, the probability of getting 723 or more peas with red flowers is nothing. ​(Round to four decimal places as​ needed.) b. Is 723 peas with red flowers significantly​ high? ▼ Yes, No, because the probability of this event is ▼ less greater than the probability cutoff that corresponds to a significant​ event, which is ▼ 0.05. 0.5. 0.95. c. What do these results suggest about the​ scientist's assumption that 3 divided by 4 of peas will have red​ flowers? A. Since the result of 723 peas with red flowers is not significantly​ high, it is strong evidence against the​ scientist's assumption that 3 divided by 4 of peas will have red flowers. B. Since the result of 723 peas with red flowers is significantly​ high, it is strong evidence against the​ scientist's assumption that 3 divided by 4 of peas will have red flowers. C. Since the result of 723 peas with red flowers is not significantly​ high, it is not strong

Answer 1

n=	953	p=	0.7500
here mean of distribution=μ=np=		714.75
and standard deviation σ=sqrt(np(1-p))=		13.3674

probability =

P(X>723)

=

P(Z>0.62)=

1-P(Z<0.62)=

1-0.7324=

0.2676

a)

if the​ scientist's assumed probability is​ correct, the probability of getting 723 or more peas with red flowers is 0.2676

( please try 0.2810 if above comes incorrect and revert)

b)

, No, because the probability of this event is  greater than the probability cutoff that corresponds to a significant​ event, which is 0.05

c)

C. Since the result of 723 peas with red flowers is not significantly​ high, it is not strong