Express the null hypothesis and alternative hypothesis


Discuss the below:

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.

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Basic Statistics: Express the null hypothesis and alternative hypothesis
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