Question

a)When is it appropriate to calculate a z-test?

b)What is the formula for a z-test?

c)If we set α = 0.10 what does that tell us?

d)If p < α then what should you do?

e)What is the z-table used for when conducting a z-test?

f)What are the 7 steps for hypothesis testing?

Answer 1

Ans a ) it is appropriate to use z test if the sample size is larger than 30 ,the population standard deviation is known and population from which the sample is taken should be normally distributed

ans b ) the formula for z test is

c ) The α = 0.10 i.e  significance level  is a value for which a P-value less than or equal to 0.10 is considered statistically significant.

d ) if p < α then it means the results are statistically significant.

e ) A z-table is a statistical table that gives us to the percentage of values below a z-score or above a z score at standard normal curve .

f)the seven steps for hypothesis testing are

1) State the Null Hypothesis.

2) State the Alternative Hypothesis.

3) set the significance level

4) define rejection region for the test statistic

5 ) find the test statistic

6) conclusion ( either reject or accept the null hypothesis)

7) interpretation in the context of problem