Question

A fish biologist hypothesizes that the proportion of fish in Lake Ontario that are Black Carp has increased. A study conducted several years ago found that 17% of fish in Lake Ontario were Black Carp. Of 300 randomly sampled fish from Lake Ontario, the biologist finds that 90 are Black Carp. Select from the following the test that best reflects the biologist's hypothesis. Select one: a. H0 : p = 0.30 vs. Ha : p > 0.30 b. H0 : p = 0.17 vs. Ha : p < 0.17 c. H0 : p = 0.17 vs. Ha : p > 0.17 d. H0 : p = 0.17 vs. Ha : p = 0.30 e. H0 : p = 0.30 vs. Ha : p =/= 0.30 Suppose that the biologist tests the following hypothesis: H0 : p = 0.25 vs. HA : p > 0.25 Where p is the true population proportion of Black Carp in Lake Huron. Of 200 randomly sampled fish from Lake Huron, the biologist finds that 18% are Black Carp. Select from the following options the correct z-score and P-value associated with this hypothesis test. Select one: a. z = -2.29 ; P-value = 0.0110 b. z = -2.29 ; P-value = 0.9890 c. z = -2.58 ; P-value = 0.9951 d. z = -2.58 ; P-value = 0.0049 e. The hypothesis test cannot be performed because requisite assumptions have not been satisfied.

          A fish biologist hypothesizes that the proportion of fish in Lake Ontario that are Black Carp has increased. A study conducted several years ago found that 17% of fish in Lake Ontario were Black Carp. Of 300 randomly sampled fish from Lake Ontario, the biologist finds that 90 are Black Carp. Select from the following the test that best reflects the biologist's hypothesis.

Select one:
a. H0 : p = 0.30 vs. Ha : p > 0.30
b. H0 : p = 0.17 vs. Ha : p < 0.17
c. H0 : p = 0.17 vs. Ha : p > 0.17
d. H0 : p = 0.17 vs. Ha : p = 0.30
e. H0 : p = 0.30 vs. Ha : p =/= 0.30

Suppose that the biologist tests the following hypothesis:
H0 : p = 0.25 vs. HA : p > 0.25
Where p is the true population proportion of Black Carp in Lake Huron. Of 200 randomly sampled fish from Lake Huron, the biologist finds that 18% are Black Carp. Select from the following options the correct z-score and P-value associated with this hypothesis test.

Select one:
a. z = -2.29 ; P-value = 0.0110
b. z = -2.29 ; P-value = 0.9890
c. z = -2.58 ; P-value = 0.9951
d. z = -2.58 ; P-value = 0.0049
e. The hypothesis test cannot be performed because requisite assumptions have not been satisfied.

A fish biologist hypothesizes that the proportion of fish in Lake Ontario that are Black Carp has increased. A study conducted several years ago found that 17% of fish in Lake Ontario were Black Carp. Of 300 randomly sampled fish from Lake Ontario, the biologist finds that 90 are Black Carp. Select from the following the test that best reflects the biologist's hypothesis.

Select one:
a. H0 : p = 0.30 vs. Ha : p > 0.30
b. H0 : p = 0.17 vs. Ha : p < 0.17
c. H0 : p = 0.17 vs. Ha : p > 0.17
d. H0 : p = 0.17 vs. Ha : p = 0.30
e. H0 : p = 0.30 vs. Ha : p =/= 0.30

Suppose that the biologist tests the following hypothesis:
H0 : p = 0.25 vs. HA : p > 0.25
Where p is the true population proportion of Black Carp in Lake Huron. Of 200 randomly sampled fish from Lake Huron, the biologist finds that 18% are Black Carp. Select from the following options the correct z-score and P-value associated with this hypothesis test.

Select one:
a. z = -2.29 ; P-value = 0.0110
b. z = -2.29 ; P-value = 0.9890
c. z = -2.58 ; P-value = 0.9951
d. z = -2.58 ; P-value = 0.0049
e. The hypothesis test cannot be performed because requisite assumptions have not been satisfied.

Added by Christopher D.

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