The biologist is studying Black Carp invasiveness in Lake Ontario next. He doesn't have time to sample the fish himself, so instead he instead asks a fisherman who has been fishing off of one of Toronto's piers all morning about his catch. The fisherman responds that, of the 75 fish he has caught, 29 have been Black Carp. What is the lower bound of a 99% confidence interval for the true proportion of fish that are Black Carp in Lake Ontario ? O a. 0.1448 O b. The assumptions necessary to calculate the confidence interval are not satisfied and the calculation cannot be performed. O c. 0.3304 O d. 0.2419 O e. 0.2556

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The biologist is studying Black Carp invasiveness in Lake Ontario next. He doesn't have time to
sample the fish himself, so instead he instead asks a fisherman who has been fishing off of one of
Toronto's piers all morning about his catch. The fisherman responds that, of the 75 fish he has
caught, 29 have been Black Carp. What is the lower bound of a 99% confidence interval for the true
proportion of fish that are Black Carp in Lake Ontario ?
O a. 0.1448
O b. The assumptions necessary to calculate the confidence interval are not satisfied and the
calculation cannot be performed.
O c. 0.3304
O d. 0.2419
e. 0.2556
Transcribed Image Text:The biologist is studying Black Carp invasiveness in Lake Ontario next. He doesn't have time to sample the fish himself, so instead he instead asks a fisherman who has been fishing off of one of Toronto's piers all morning about his catch. The fisherman responds that, of the 75 fish he has caught, 29 have been Black Carp. What is the lower bound of a 99% confidence interval for the true proportion of fish that are Black Carp in Lake Ontario ? O a. 0.1448 O b. The assumptions necessary to calculate the confidence interval are not satisfied and the calculation cannot be performed. O c. 0.3304 O d. 0.2419 e. 0.2556
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Given,n=75x=29sample proportion(p^)=xnp^=29750.38671-p^=1-0.3867=0.6133α=1-0.99=0.01α2=0.005Z0.005=2.5758      (from Z-table)

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