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Chapter 9: Q .1. (page 563)

No homework? Mr. Tabor believes that less than 75%of the students at his school completed their math homework last night. The math teachers inspect the homework assignments from a random sample of 50 students at the school.

Short Answer

Expert verified

H0:p=75%=0.75

Ha:p<0.75

Step by step solution

01

Step 1:Given information

Claim is proportion is less than 75%

02

Step 2:Explaination

The null hypothesis statement is that the population is equal to the value mentioned in the claim:

H0:p=75%=0.75

The claim is either the null hypothesis or the alternative hypothesis. The null hypothesis states that the population proportion is equal to the value given in the claim. If the null hypothesis is the claim,

then the alternative hypothesis statement is the opposite of the null hypothesis.

Ha:p<0.75

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Most popular questions from this chapter

Don鈥檛 argue Refer to Exercises 2 and 12.

a. What conclusion would you make at the 伪=0.01 level?

b. Would your conclusion from part (a) change if a 5% significance level was used

instead? Explain your reasoning.

Pressing pills A drug manufacturer forms tablets by compressing a granular material that contains the active ingredient and various fillers. The hardness of a sample from each batch of tablets produced is measured to control the compression process. The target value for the hardness is 渭=11.5The hardness data for a random sample of 20 tablets from one large batch are

Is there convincing evidence at the 5%level that the mean hardness of the tablets in this batch differs from the target value?

Clean water The Environmental Protection Agency (EPA) has determined that safe

drinking water should contain at most 1.3mg/liter of copper, on average. A water supply company is testing water from a new source and collects water in small bottles at each of30randomly selected locations. The company performs a test at the 伪=0.05 significance level ofH0:渭=1.3versus Ha:渭>1.3, where 渭 is the

true mean copper content of the water from the new source.

a. Describe a Type I error and a Type II error in this setting.

b. Which type of error is more serious in this case? Justify your answer.

c. Based on your answer to part (b), do you agree with the company鈥檚 choice of 伪=0.05? Why or why not?

Restaurant power problems Refer to Exercises 86 and 88

a. Explain one disadvantage of using 伪=0.10 instead of 伪=0.05 when

performing the test.

b. Explain one disadvantage of taking a random sample of 50 people instead of 30 people.

Flu vaccine Refer to ExerciseR9.5. Of the 1000 adults who were given the vaccine, 43 got the flu. Do these data provide convincing evidence to support the company鈥檚 claim?
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