Arandom sample of 100 people was taken. eighty of the people in the sample favored candidate a. we are interested in determining whether or not the proportion of the population in favor of candidate a is significantly more than 75%. at a .05 level of significance, it can be concluded that the proportion of the population in favor of candidate a is
a. significantly greater than 75%b. not significantly greater than 75%c. significantly greater than 80%d. not significantly greater than 80%

Option b - not significantly greater than 75%.

Step-by-step explanation:

A random sample of 100 people was taken i.e. n=100

Eighty of the people in the sample favored Candidate i.e. x=80

We have used single sample proportion test,

Now we define hypothesis,

Null hypothesis : candidate A is significantly greater than 75%.

Alternative hypothesis : candidate A is not significantly greater than 75%.

Level of significance

Applying test statistic Z -proportion,

Where, and

Substitute the values,

The p-value is

Now, the p-value is greater than the 0.05.

So we fail to reject the null hypothesis and conclude that the A is not significantly greater than 75%.

Therefore, Option b is correct.

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !