Fill in these missing words in the following statements. Some possible words are given as follows....

Fill in these missing words in the following statements. Some possible words are given as follows.

reject, Type I error, p-value, parameter, null hypothesis, Type II error, test statistic

(a) A statistical hypothesis is a hypothesis concerning a of a population or distribution.

(b) If a test is devised to detect a change in some standard or prevailing value for the parameter in question, then the hypothesis of no change is generally labeled the hypothesis.

(c) The error of rejecting the null hypothesis when the null hypothesis is true is called a error; The error of accepting the null hypothesis when the null hypothesis is false is called a error.

(d) In the testing of statistical hypotheses, we refer to a random variable as a if it is a function of the random variables in a random sample and if its observed values are determining factors in the decision rule of the test.

(e) In statistical hypothesis testing, the is the probability of obtaining test results at least as extreme as the results actually observed during the test, assuming that the null hypothesis is correct.

(f) In hypothesis testing, we the null hypothesis if p-value is less than a pre-specified level ↵ (e.g., ↵ = 0.05).

Solutions

Expert Solution

(a) A statistical hypothesis is a hypothesis concerning a parameter of a population or distribution.

(b) If a test is devised to detect a change in some standard or prevailing value for the parameter in question, then the hypothesis of no change is generally labeled the null hypothesis.

(c) The error of rejecting the null hypothesis when the null hypothesis is true is called a Type I error; The error of accepting the null hypothesis when the null hypothesis is false is called a Type II error.

(d) In the testing of statistical hypotheses, we refer to a random variable as a test statistic if it is a function of the random variables in a random sample and if its observed values are determining factors in the decision rule of the test.

(e) In statistical hypothesis testing, the p-value is the probability of obtaining test results at least as extreme as the results actually observed during the test, assuming that the null hypothesis is correct.

(f) In hypothesis testing, we reject the null hypothesis if p-value is less than a pre-specified level (e.g., = 0.05).

orchestra answered 1 year ago

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