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An experiment was conducted to assess the efficacy of spraying oats with malathion tocontrol the cereal leaf beetle.A sample of 10 farms were selected at random and eachfarm was assigned at random to either the control group (no spray) or the treatmentgroup (spray). At the conclusion of the experiment, a plot on each farm was selected andthe number of larvae per stem was measured. The powerof the test refers to:

a. the ability to detect an effect of malathion when in fact there is no effect.
b. the ability to not detect an effect of malathion when in fact there is no effect.
c. the ability to detect an effect of malathion when in fact there is an effect.
d. the ability to make a correct decision regardless if malathion had an effect or not.
e. failing to detect an effect of malathion when in fact there is an effect.

Respuesta :

Answer:

C

Step-by-step explanation:

Solution:-

- An experiment on the efficacy of spraying malathion on oats to control the growth cereal leaf beetle.

- A sample of n = 10 farms was taken at random. Each farm was either subjected to control group ( no spray ) or the treatment group ( spray ).

- Power ( β ) is the probability of rejecting the null hypothesis when, in fact, it is false. I.e the test statistics lie in the rejection region or the benefit of adding malathion is proven in-effective when in fact it is in-effective.

- Power is the probability of avoiding a ( Type II error ). Mathematically expressed as:

                    Type II Error = 1 - β

- Power is the probability of making a correct decision (to reject the null hypothesis) when the null hypothesis is false.

- The probability that a test of significance will pick up on an effect that is present.

Hence,

Answer: It is the ability to detect the effectiveness of malathion when in fact it is effective.

The power of the test refers to the ability of rejecting the null hypothesis when in fact it is false.

Thus, Option C: The ability to detect an effect of malathion when in fact there is an effect. is correct option.

Given that:

The experiment was done to find out efficacy of effect of malathion in controlling the cereal leaf beetle.

What is power of the test?

The power of the test refers to the ability of rejecting the null hypothesis when in fact it is false.

The case when we somehow reject the null hypothesis even when it was true, then in that case Type 2 error occurs.

Power of the test = P(avoiding Type 2 Error)

The Option C: The ability to detect an effect of malathion when in fact there is an effect is thus denoting the power of the test.

Learn more about power of test here:

https://brainly.com/question/8170655

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