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When a scientist conducted a genetics experiments with peas, one sample of offspring consisted of 907 peas, with 689 of them having red flowers. If we assume, as the scientist did,
that under these circumstances, there is a 3/4 probability that a pea will have a red flower, we would expect that 680.25 (or about 680) of the peas would have red flowers, so the
result of 689 peas with red flowers is more than expected.
a. If the scientist's assumed probability is correct, find the probability of getting 689 or more peas with red flowers.
b, Is 689 peas with red flowers significantly high?
c. What do these results suggest about the scientist's assumption that 3/4 of peas will have red flowers?
a. If the scientist's assumed probability is correct, the probability of getting 689 or more peas with red flowers is
(Round to four decimal places as needed.)
b. Is 689 peas with red flowers significantly high?
Yes, because the probability of this event is greater than the probability cutoff that corresponds to a significant event, which is 0.05.
c. What do these results suggest about the scientist's assumption that 3/4 of peas will have red flowers?
OA. Since the result of 689 peas with red flowers is not significantly high, it is strong evidence against the scientist's assumption that 3/4 of peas will have red flowers.
OB. The results do not indicate anything about the scientist's assumption.
OC. Since the result of 689 peas with red flowers is not significantly high, it is not strong evidence against the scientist's assumption that 3/4 of peas will have red flowers.
OD. Since the result of 689 peas with red flowers is not significantly high, it is not strong evidence supporting the scientist's assumption that 3/4 of peas will have red flowers.
OE. Since the result of 689 peas with red flowers is significantly high, it is strong evidence against the scientist's assumption that 3/4 of peas will have red flowers.
OF. Since the result of 689 peas with red flowers is significantly high, it is not strong evidence against the scientist's assumption that 3/4 of peas will have red flowers.
