A comparison between species: Biologists comparing the gestation period of two newly discovered species of frog collected data from 11 frogs of species A and 28 frogs of species B. Species A exhibited an average gestation period of 12 days with a standard deviation of 3.1 days while species B had a gestation period of 19 days and a standard deviation of 4.6 days. The researchers want to know whether the average lengths of the gestational periods differ between the two species. Conduct a hypothesis test at a significance level of =0.01. a) The hypotheses for this test are:

• H₀: _A - _B = 0 H_a: _A - _B > 0
• H₀: _B = 12 H_a: _B 12
• H₀: _A - _B = 0 H_a: _A - _B < 0
• H₀: _A - _B = 0 H_a: _A - _B 0

What is the test statistic for this test? test statistic = (Round to 2 decimal places.) What is the p-value for this test? p-value = (Round to 4 decimal places.) The decision reached is

• Fail to reject H₀
• Reject H₀ and accept H_a

As such, the final conclusion is that

• There is significant evidence that suggests no difference in the lengths of the gestational periods.
• There is not significant evidence to suggest a difference between the lengths of the two species' gestational periods
• There is significant evidence to suggest a difference between the lengths of the two species' gestational periods
• The lengths of the gestational periods are the same.