a) In formulating hypotheses for a statistical test of significance, the null hypothesis is often:
– The likelihood of seeing the data that actually got.- A claim that all of the data are $ 0 $.
– A declaration of “no effect” or “no difference”.
– $ 0.05 $.
b) Which of following would be robust evidence against with the null hypothesis when testing hypotheses?
– A low level of relevance was used.
– The acquisition of data with a high P-value.
– Obtaining information with a low P-value.
– Utilizing a high degree of relevance.
c) A test of the null hypothesis’s P-value is:
– The likelihood that the null hypothesis is incorrect.
– The likelihood that the null hypothesis is correct.
– The likelihood that test statistics will assume a number at least as high as what was actually observed if the null hypothesis remains correct.
This question aims to select the best choice for the hypotheses from the given options.
This question uses the concept of Null hypotheses. A statistical hypothesis known as a “null hypothesis” asserts that no statistical significance can be found in a particular set of observations.
Expert Answer
a) The null hypothesis in hypothesis testing is known as the declaration that there is no impact of the therapy or that there is no statistically significant difference. So the correct option is:
A declaration of “no effect” or “no difference“
b) So because the null hypothesis is false when the p-value is less than the significance level, there would be significant evidence against the null hypothesis as the threshold of significance increased. The correct answer for this statement is:
Utilizing a high degree of relevance.
c) The probability that the test statistic would assume a value at least as extreme as what has actually been seen if the null hypothesis were true is known as the p-value of the hypothesis. So the correct answer is the likelihood that test statistic will assume a number at least as high as what was actually observed if the null hypothesis remains correct.
Numerical Answer
The correct options are:
A declaration of “no effect” or “no difference“.
Utilizing a high degree of relevance.
The likelihood that test statistics will assume a number at least as high as what was actually observed if the null hypothesis remains correct.
Example
The declaration there is no impact of the therapy or that there is no statistically significant difference is known as the null hypothesis in hypothesis testing. Choose the correct option from the given multiple options.
– a statement of no difference or no consequence .
– Utilizing a high degree of relevance.
– The likelihood that the null hypothesis is incorrect.
– The likelihood that the null hypothesis is correct.
– The likelihood of seeing the data that actually got.
The declaration there is no impact of the therapy or that there is no statistically significant difference is known as the null hypothesis in hypothesis testing. So the correct option is:
A statement of no difference or no consequence.
Hence, the final and correct option is:
A statement of no difference or no consequence.