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91Ó°ÊÓ

Some of the following statements refer to the null hypothesis, some to the alternate hypothesis. State the null hypothesis, H0, and the alternative hypothesis. Ha, in terms of the appropriate parameter (μorp).

a. The mean number of years Americans work before retiring is 34.

b. At most 60% of Americans vote in presidential elections.

c. The mean starting salary for San Jose State University graduates is at least \(100,000 per year.

d. Twenty-nine percent of high school seniors get drunk each month.

e. Fewer than 5% of adults ride the bus to work in Los Angeles.

f. The mean number of cars a person owns in her lifetime is not more than ten.

g. About half of Americans prefer to live away from cities, given the choice.

h. Europeans have a mean paid vacation each year of six weeks.

i. The chance of developing breast cancer is under 11% for women.

j. Private universities' mean tuition cost is more than \)20,000 per year.

Short Answer

Expert verified

a. null hypothesis is H0:μ=34and alternative hypothesis is Ha:μ≠34

b. null hypothesis is role="math" localid="1650384883721" H0:p≤0.6and alternative hypothesis is Ha:p>0.6

c. null hypothesis is H0:μ≥100,000and alternative hypothesis isHa:μ<100,000

d. null hypothesis is H0:p=0.29and alternative hypothesis isHa:p≠0.29

e. null hypothesis is H0:p=0.05and alternative hypothesis is Ha:p≠0.05

f. null hypothesis isH0:μ≤10 and alternative hypothesis isHa:μ>10

g. null hypothesis isH0:p=0.50 and alternative hypothesis isHa:p≠0.50

h. null hypothesis is H0:μ=6and alternative hypothesis isHa:μ≠6

i. null hypothesis isH0:p≥0.11 and alternative hypothesis isHa:p<0.11

j. null hypothesis isH0:μ≤20,000 and alternative hypothesis isHa:μ>20,000

Step by step solution

01

Introduction

The null hypothesis states that there is no difference between a proportion and the proportion of the population.

The alternative hypothesis is a population assertion that contradicts itself.

02

Explanation Part a

The mean number of years Americans work before retiring is either34 or not indicating a not equals sign in the Alternative Hypothesis.

03

Explanation Part b

Since at most 60%Americans vote in presidential elections indicating that the alternate hypothesis bears a greater than sign.

04

Explanation Part c

Since the mean starting salary for San Jose State University graduates is at least 100,000per year indicating that the alternate hypothesis bears a less than sign.

05

Explanation Part d

Since twenty-nine percent of high school seniors get drunk each month it indicates that the alternate hypothesis bears a not-equals sign.

06

Explanation Part e

Since fewer than of adults ride the bus to work in Los Angeles indicating that the alternate hypothesis bears a less-than sign.

07

Explanation Part f

Since the mean number of cars a person owns in her lifetime is not more than ten a two-tailed test will be done to reject or accept the null hypothesis.

08

Explanation Part g

Since about half of Americans prefer to live away from cities, given the choice a two-tailed test will be done to reject or accept the null hypothesis.H0:μ=6;Ha:μ≠6

09

Explanation Part h

Since Europeans have a mean paid vacation each year of six weeks a two-tailed test will be done to reject or accept the null hypothesis. H0:p≥0.11;Ha:p<0.11

10

Explanation Part i  

Since the chance of developing breast cancer is under 11%for women indicating that the alternate hypothesis bears a less-than sign. localid="1650385809736" H0:μ≤20,000;Ha:μ>20,000

11

Explanation Part j

Since private universities' mean tuition cost is more than $20,000per year indicating that the alternate hypothesis bears a greater than sign.

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Most popular questions from this chapter

The US Department of Energy reported that 51.7% of homes were heated by natural gas. A random sample of 221homes in Kentucky found that 115 were heated by natural gas. Does the evidence support the claim for Kentucky at the α=0.05 level in Kentucky? Are the results applicable across the country? Why?

The US Department of Energy reported that 51.7% of homes were heated by natural gas. A random sample of 221 homes in Kentucky found that 115 were heated by natural gas. Does the evidence support the claim for Kentucky at the α = 0.05 level in Kentucky? Are the results applicable across the country? Why?

If you do not reject the null hypothesis, then it must be true. Is this statement correct? State why or why not in complete sentences.

Marketers believe that 92%of adults in the United States own a cell phone. A cell phone manufacturer believes that number is actually lower. 200American adults are surveyed, of which, 174report having cell phones. Use a 5%level of significance. State the null and alternative hypothesis, find the p-value, state your conclusion, and identify the Type Iand Type IIerrors.

State the Type I and Type II errors in complete sentences given the following statements.

a. The mean number of years Americans work before retiring is 34.

b. At most 60% of Americans vote in presidential elections.

c. The mean starting salary for San Jose State University graduates is at least \(100,000 per year.

d. Twenty-nine percent of high school seniors get drunk each month.

e. Fewer than 5% of adults ride the bus to work in Los Angeles.

f. The mean number of cars a person owns in his or her lifetime is not more than ten.

g. About half of Americans prefer to live away from cities, given the choice.

h. Europeans have a mean paid vacation each year of six weeks.

i. The chance of developing breast cancer is under 11% for women.

j. Private universities mean tuition cost is more than \)20,000 per year.

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