Question: When a scientist conducted a genetics experiments with peas, one sample of offspring consisted of 903 peas, with 706 of them having red flowers. If we assume, as the scientist did, that underthese circumstances, there is a 34 probability that a pea will have a red flower, we would expect that 677.25 (or about 677 ) of the peas would have red flowers, so

When a scientist conducted a genetics experiments with peas, one sample of offspring consisted of $903$ peas, with $706$ of them having red flowers. If we assume, as the scientist did, that under

these circumstances, there is a $\frac{3}{4}$ probability that a pea will have a red flower, we would expect that $677\mathrm{.}25($or about $677)$ of the peas would have red flowers, so the result of $706$ peas with red flowers

is more than expected.

a$.$ If the scientist's assumed probability is correct, find the probability of getting $706$ or more peas with red flowers.

b$.$ Is $706$ peas with red flowers significantly high?

c$.$ What do these results suggest about the scientist's assumption that $\frac{3}{4}$ of peas will have red flowers?

a$.$ If the scientist's assumed probability is correct, the probability of getting $706$ or more peas with red flowers is ${0\mathrm{.}0140}^{\text{'}}.$

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

b$.$ Is $706$ peas with red flowers significantly high?

because the probability of this event is

than the probability cutoff that corresponds to a significant event, which is

c$.$ What do these results suggest about the scientist's assumption that $\frac{3}{4}$ of peas will have red flowers?

A$.$ The results do not indicate anything about the scientist's assumption.

B$.$ Since the result of $706$ peas with red flowers is not significantly high, it is not strong evidence against the scientist's assumption that $\frac{3}{4}$ of peas will have red flowers.

C$.$ Since the result of $706$ peas with red flowers is significantly high, it is not strong evidence against the scientist's assumption that $\frac{3}{4}$ of peas will have red flowers.

D$.$ Since the result of $706$ peas with red flowers is not significantly high, it is strong evidence against the scientist's assumption that $\frac{3}{4}$ of peas will have red flowers.

E$.$ Since the result of $706$ peas with red flowers is significantly high, it is strong evidence against the scientist's assumption that $\frac{3}{4}$ of peas will have red flowers.

F$.$ Since the result of $706$ peas with red flowers is significantly high, it is strong evidence supporting the scientist's assumption that $\frac{3}{4}$ of peas will have red flowers.