Is the square of 4 a rational number?
2 answers:
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Answer:
See explanation
Step-by-step explanation:
Assuming you want to find the 3rd term of the geometric progression defined explicitly by , then we have to substitute n=3 to obtain:
This will give us:
We evaluate to obtain:
Answer:
Null hypothesis:
Alternative hypothesis:
A type of error I for this case would be reject the null hypothesis that the population proportion is lower or equal than 50 when actually is true.
So then the best option for this case is:
b. The researcher concludes that the mean amount of television watched by young men is greater than 50 (reject the null hypothesis), when the mean is really less than or equal to 50.
Step-by-step explanation:
Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
Type I error, also known as a “false positive” is the error of rejecting a null hypothesis when it is actually true. Can be interpreted as the error of no reject an alternative hypothesis when the results can be attributed not to the reality.
Type II error, also known as a "false negative" is the error of not rejecting a null hypothesis when the alternative hypothesis is the true. Can be interpreted as the error of failing to accept an alternative hypothesis when we don't have enough statistical power.
Solution to the problem
On this case we want to test if the mean amount of television watched daily by young men is greater than 50 minutes), so the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
A type of error I for this case would be reject the null hypothesis that the population proportion is lower or equal than 50 when actually is true.
So then the best option for this case is:
b. The researcher concludes that the mean amount of television watched by young men is greater than 50 (reject the null hypothesis), when the mean is really less than or equal to 50.