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9 Oct 2019

Discuss whether the given statement is true or false.

"Sample evidence can prove that a null hypothesis is true."

 

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Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

1.) Which of the following answers represents the objective of a hypothesis test?

a. Rejecting the null hypothesis when it is true.

b. Rejecting the null hypothesis when it is false.

c. Not rejecting the null hypothesis when it is true.

d. Rejecting the null hypothesis when it is false and not rejecting the null hypothesis when it is true.

 

2.) If the chosen significance level is ? = 0.05, then

a. there is a 5% probability of rejecting a true null hypothesis

b. there is a 5% probability of accepting a true null hypothesis

c. there is a 5% probability of rejecting a false null hypothesis

d. there is a 5% probability of accepting a false null hypothesis

(a) In testing hypotheses, which of the following would be strong evidence against the null hypothesis? 

A. Obtaining data with a small P-value. 

B. Obtaining data with a large P-value.

C. Using a small level of line significance.

D. Using a a large level of significance.

(b) The P-value of  a test of a null hypothesis is 

 

A. The probability of the null hypothesis is true.

B. The probability, assuming the null hypothesis is false, that the test statistic will take a value at least as extreme as that actually observed.

C. The probability, assuming the null hypothesis is true, that the test statistic will take a value at least as extreme as that actually observed.

D. The probability of the null hypothesis is false.

(c) In formulating hypotheses for a statistical test of significance, the null hypothesis is often 

A. 0.05 

B. the probability of observing the data you actually obtained 

C. a statement of ''no effect'' or '' no difference''.

D. a statement that the data are 0.

If we reject the null hypothesis, we conclude that __________.
 
a. there is not enough statistical evidence to infer that the alternative hypothesis is true.
 
b. there is not enough statistical evidence to infer that the null hypothesis is true.
 
c. the test must be repeated.
 
d. the test is statistically insignificant at the chosen level of significance.

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