Question

1. Which of the statements are true?

1. Every hypothesis test based on significance can be obtained via a confidence interval
2. Using sample data is used to assess the plausibility of hypothesis testing
3. Every confidence interval can be obtained via a hypothesis test based on significance
4. Significance-based hypothesis testing is the most common framework for statistical hypothesis testing
5. A hypothesis test evaluates three mutually exclusive statements about a population to determine which statement is best supported by the sample data
6. Hypothesis tests are used when determining what outcomes of a study would lead to a rejection of the null hypothesis for a pre-specified level of significance
7. The methodology employed by the analyst depends not on the nature of the data used but on the reason for the analysis
8. Logic hypothesis is the hypothesis used in hypothesis testing that is contrary to the null hypothes                                                                                                                                                                                                                                                                    2. Bayesian testing requires you to repeat sampling over and over, while traditional testing does not. Select one: True or False                                                                             3.The rejection of a true null hypothesis (also known as a “false positive” finding or conclusion) is ……. Of the …… ……… Answer ?                                                                    4. What was the number of combinations in the randomized experiment “Lady tasting tea”?                                                                                                                                     5. Alternative to statistical hypothesis testing is (are): Select one or more:
9. Proportional hazards models
10. Seasonal adjustment
11. Mixed effects models
12. Determination coefficient
13. Bayesian approach
14. Reliability engineering
15. Multiple comparisons
16. Robustness
1. Permutation test
10. Power
11. Location-scale family
12. Long-rank test

Answer 1

1)correct statements are;

a,b,c,d,f,h

2)FALSE

(TRUE STATEMENT )

Traditional testing (Non Bayesian) requires you to repeat sampling over and over, while Bayesian testing does not. ... In Bayesian testing you add prior knowledge to this step. It also requires use of a posterior probability, which is the conditional probability given to a random event after all the evidence is considered.

3)TYPE 1 error

4)

The test statistic is a simple count of the number of successes in selecting the 4 cups (the number of cups of the given type successfully selected). The distribution of possible numbers of successes, assuming the null hypothesis is true, can be computed using the number of combinations. Using the combination formula, with {\displaystyle n=8} total cups and {\displaystyle k=4} cups chosen, there are

possible combinations.;

Tea-Tasting Distribution Assuming the Null Hypothesis

Success count	Combinations of selection	Number of Combinations
0	oooo	1 × 1 = 1
1	ooox, ooxo, oxoo, xooo	4 × 4 = 16
2	ooxx, oxox, oxxo, xoxo, xxoo, xoox	6 × 6 = 36
3	oxxx, xoxx, xxox, xxxo	4 × 4 = 16
4	xxxx	1 × 1 = 1

TOTAL=70

5)

t)logrank test

q)Permutation test

r)Power test

m)Bayesian approach