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Briefly answer the following questions. (a) What is a null hypothesis H0? A specific hypothesis where...

Briefly answer the following questions. (a) What is a null hypothesis H0? A specific hypothesis where the claim is that the population parameter is equal to 0. Any hypothesis that differs from the original claim being made. A working hypothesis making a claim about the population parameter in question. A specific hypothesis where the claim is that the population parameter does not equal 0. (b) What is an alternate hypothesis H1? A specific hypothesis where the claim is that the population parameter is equal to 0. A working hypothesis making a claim about the population parameter in question. A specific hypothesis where the claim is that the population parameter does not equal 0. Any hypothesis that differs from the original claim being made. (c) What is a type I error? Type I error is rejecting the null hypothesis when it is false. Type I error is failing to reject the null hypothesis when it is false. Type I error is rejecting the null hypothesis when it is true. Type I error is failing to reject the null hypothesis when it is true. What is a type II error? Type II error is rejecting the null hypothesis when it is false. Type II error is failing to reject the null hypothesis when it is false. Type II error is rejecting the null hypothesis when it is true. Type II error is failing to reject the null hypothesis when it is true. (d) What is the level of significance of a test? The probability of a type I error. The probability of a type II error. What is the probability of a type II error? α 1 − β 1 − α β

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Answer #1

a) option A is right. A specific hypothesis where the claim is that the population parameter is equal to 0

Null hypothesis is used in statistics which proposes that no statistical significance exist in a given set of observations.

b) option C is right. A specific hypothesis where the claim is that the population parameter does not equal 0.

The alternate hypothesis is in favor of which the null hypothesis is rejected.

c) Type I error is rejecting the null hypothesis when it is true.

Type II error is failing to reject the null hypothesis when it is false

d) Level of significance of the test is The probability of a type I error.

Probability of type II error is

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