Question

How to formulate a hypothesis? and test and verify it? ( i need very good EXAMPLES thank you)

Answer 1

Let us consider the following example:-

Conduct a hypothesis test to verify if the claim that a bottle contains less than sixteen (16) ounces is supported.

To complete a hypothesis testing of the data discovered. The hypothesis testing will verify if the claim that a bottle contains less than sixteen (16) ounces is supported. The hypothesis statement we will verify is

H0: µ≥16

H1: µ<16

The test hypothesis will be used to assess the truth of the alternative hypothesis.

To get the test hypothesis we used the formula:

Sample Mean-Population Mean/(Sample Standard Deviation/SQRT(sample size))

14.87-16/ (0.5503/SQRT (30))=-11.246

Next steps is to find the T Critical Value. Since the population standard deviation is not given getting the P-value will help determine the significance of the results

P-Value = P (t<-11.25) =2.15273E-12≈0

The results of the P-Value reveals that it is less than α – value 0<0.05 we reject H0 and accept H1