1. What type of sampling was used here?

2. What are the mean and standared deviation of the sample?

3. Research to find the average height of all men in the United States. This will be our population parameter. You can use the average from the week 3 discussion question.

4. Write the hypotheses H0 and Ha to test that men on match.com are shorter than the average height for all males.

5. We will use a z-test for our hypothesis. Why do we use this type of test?

6. Show calculations for the test statistic.

7. What would be the p-value?

8. Choos e an alpha,?, value. Why did you choose this value?

9. Will we reject or not reject the null hypothesis?

10. What are your conclusions? Are men on Match.com statistically shorter than the average male?

Working as a paralegal we had to always have the mentality innocent until proving guilty. It is difficult to balance the two types of errors because first the in a jury trial since there are two types of errors the person who is innocent but the jury finds the person guilty, and the person is guilty but the jury declares the person to be innocent. In our system of justice, the first error is considered more serious than the second error. These two errors can be a little difficult to decide for example. As in the jury trial situation, a Type I error is usually considered more serious than a type II error. In a jury trial the person accused of the crime is assumed innocent at the beginning of the trial, and unless the jury can find overwhelming evidence to the contrary, should be judged innocent at the end of the trial. Likewise, in hypothesis testing, the null hypothesis is assumed to be true, and unless the test shows overwhelming evidence that the null hypothesis is not true, the null hypothesis is accepted. Null hypothesis is similar to the assumption of innocence in a jury trial, for instance a person comes into court charged with a crime. A jury must decide whether the person is innocent (null hypothesis) or guilty (alternative hypothesis). Even though the person is charged with the crime, at the beginning of the trial (and until the jury declares otherwise) the accused is assumed to be innocent. (Only if overwhelming evidence of the person's guilt can be shown is the jury expected to declare the person guilty---otherwise the person is considered innocent.

Burden of proof can define the duty placed upon a party to prove or disprove a disputed fact, or it can define which party bears this burden.Taylor v. Kentucky, 436 U.S. 478 (1978). In criminal cases, the burden of proof is placed on the prosecution, who must demonstrate that the defendant is guilty before a jury may convict him or her. There is some jurisdiction; the defendant has the burden of establishing the existence of certain facts that give rise to a defense, such as the insanity plea. In civil cases, the plaintiff is normally charged with the burden of proof, but the defendant can be required to establish certain defenses.

A prosecutor must prove the defendant's guilt Beyond a Reasonable Doubt. In civil litigation the standard of proof is either proof by a Preponderance of the evidence or proof by clear and convincing evidence. Both are lower burdens of proof than beyond a reasonable doubt. (People v. Patterson) (1976). This simply means that one side has more evidence in its favor than the other, even by the smallest degree. Clear and convincing evidence is evidence that establishes the truth of a disputed fact by a high probability.