Answer:
Null hypothesis:
Alternative hypothesis:
a. Reject the null hypothesis
c. There is enough evidence to support the claim
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the standard deviation for the sample
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses to be tested
We need to conduct a hypothesis in order to determine if the smoking age has significantly changed since the invention of ENDS—electronic nicotine delivery systems, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Compute the test statistic
We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:
(1)
z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
We can replace in formula (1) the info given like this:
What do you conclude? Using the p-value approach
Since is a two tailed test the p value would be:
Since the then the correct decision is:
a. Reject the null hypothesis
And the best conclusion is :
c. There is enough evidence to support the claim