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MATH 180 MATH180 MATH/180 Week 9_ Chapter 8 Homework 162 COMPLETE_Redacted.pdf

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MATH 180 MATH180 MATH/180 Week 9_ Chapter 8 Homework 162 COMPLETE_Redacted.pdf

The American Mathematical Association claims that less than 70% of allAmericans like statistics. In a random sample of 80 Americans, 68% of them liked mathematics.Suppose you were to test the claim of the American Mathematical Society.

(a) What is the claim?

(b) What does prepresent?

(c) What is the null hypothesis?

(d) What is the alternate hypothesis?

Description

MATH 180 MATH180 MATH/180 Week 9_ Chapter 8 Homework 162 COMPLETE_Redacted.pdf

Hypothesis Testing – Setup:

Suppose you want to test the claim that the mean volume in all 12-ounce cans of Fizzy Pop soda is less than 12 ounces. In a sample of 120 cans, you find the sample mean is11.7 ounces.

(a) What is the claim?

 

left-tailed

right-tailed

two-tailed

Solution or Explanation

Guidelines for ‘Choosing the Null and Alternate Hypotheses’ are found below the answers.

(a) We are claiming the population mean is less than 12. claim: μ< 12

(b) We are making a claim about a population mean and μrepresents this unknown population mean. Inthis case, the mean volume of all 12-ounce cans of Fizzy Pop.

(c) The null hypothesis always imposes equality. H0: μ= 12

(d) The alternate hypothesis supports the claim provided this is different from the null hypothesis.

If itcan’t, you get a in the alternate hypothesis. H1: μ< 12

(e) Since the alternate hypothesis has the < sign, this is a left-tailed test. …………Guidelines ……………..…………Choosing the Null and Alternate Hypotheses……….

(1) Identify the claim you want to support and express it symbolically. This will determine the remaining hypotheses.

(2) The null hypothesis (H0) mustimpose equality (=).

(3) The alternate hypothesis (H1) must be different from H0. If possible, have it match your claim.

If the claim has an = sign, then the alternate hypothesis must contain the sign for a two-tailed test

Hypothesis Testing – Setup:

The American Mathematical Association claims that less than 70% of allAmericans like statistics. In a random sample of 80 Americans, 68% of them liked mathematics.Suppose you were to test the claim of the American Mathematical Society.

(a) What is the claim?

(b) What does prepresent?

(c) What is the null hypothesis?

(d) What is the alternate hypothesis?

MATH 180 MATH180 MATH/180 Week 9_ Chapter 8 Homework 162 COMPLETE_Redacted.pdf

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