Question

1. The commonly used critical Z values are 1.645 for a 90% confidence interval (or 2-tailed, .10 level of significance), 1.96 for 95% confidence and 2.58 for 99% confidence. If a different confidence level is required, such as 92%, how can you determine the critical Z value?
2. What is the relationship between the confidence level and the level of significance of a 2-tail test?
3. Which Hypothesis Tests use Z distributions?
4. Which Hypothesis Tests use a Student’s t distribution?
5. Which Hypotheses Tests use a Chi-squared distribution?
6. Which Hypothesis Tests use an F distribution?
7. What is the rule for sample size calculations?
8. What is the rule regarding the appropriate signs to be used in the null and alternative hypotheses?
9. What is the rejection rule using the p-value approach to Hypothesis Testing?
10. What is the rejection rule using the critical value approach to Hypothesis Testing?

Answer 1

1. We can determine the critical value of Z by first calculating level of significance. Here, level of significance =(100-92)/100=0.08
Then we can use a Z-table to check the value of Z ate the given level of significance.

2. Confidence level = 1- level of significance

3. The hypothesis tests in which the population variannce is known and sample size is greater than 30, uses Z distribution

4.The hypothesis tests in which the population variannce is not known and sample size is less than 30, uses t distribution

Note: we are legally bounded to solve only 1st 4 parts of the question. Thankyou