# Hypothesis

1

Identify H0 and H1

The mean top of knee height of a sitting male is 20.7 in.

2

Identify H0 and H1

High school teachers have incomes with a standard deviation that is less than $20,000.

3

Find critical values

Two-tailed test; a =0.01.

4

Find critical values

Left-tailed test; a =0.05.

5

Find critical values

A=0.10; H1 is p >0.18.

6

Find P-value

With H1:p≠0.0667, the test statistic is =2.05.

7

The quality control manager of a cola bottling company claims that the mean amount of cola in our cans is at least 12 ounces. In testing that claim, express the null hypothesis and alternative hypothesis in symbolic form. Does the original claim correspond to the null hypothesis, alternative hypothesis, or neither?

8

You have developed a new drug and you claim that it lowers cholesterol, so you express the claim as µ < 100 ( where 100 is a standardized index of cholesterol). Which P-value would you prefer to get: 0.04 or 0.01? Why?

9

Identify H0 and H1

Most households have telephones.

10

Identify H0 and H1

The percentage of workers who got a job through their college is no more than 2%.

11

Finding Test statistics

The claim is that the proportion of peas with yellow pods is equal to 0.25 ( or 25%), and the sample statistics include n =580 peas with 152 of them having yellow pods.

12

Stating conclusions

Original claim: The percentage of female coaches is greater than 50%. Initial conclusion: Reject the null hypothesis.

https://brainmass.com/statistics/hypothesis-testing/hypothesis-102966

#### Solution Summary

Word document contains pictorial depiction of basics of hypothesis testing and explanation.