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:μ34

b. null hypothesis is role="math" localid="1650384883721" H0:p0.6and alternative hypothesis is Ha:p>0.6

c. null hypothesis is H0:μ100,000and alternative hypothesis isHa:μ<100,000

d. null hypothesis is H0:p=0.29and alternative hypothesis isHa:p0.29

e. null hypothesis is H0:p=0.05and alternative hypothesis is Ha:p0.05

f. null hypothesis isH0:μ10 and alternative hypothesis isHa:μ>10

g. null hypothesis isH0:p=0.50 and alternative hypothesis isHa:p0.50

h. null hypothesis is H0:μ=6and alternative hypothesis isHa:μ6

i. null hypothesis isH0:p0.11 and alternative hypothesis isHa:p<0.11

j. null hypothesis isH0:μ20,000 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:μ6

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:p0.11;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:μ20,000;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

According to an article in Bloomberg Businessweek, New York City's most recent adult smoking rate is 14%. Suppose that a survey is conducted to determine this year’s rate. Nine out of 70 randomly chosen N.Y. City residents reply that they smoke. Conduct a hypothesis test to determine if the rate is still 14% or if it has decreased.

Registered nurses earned an average annual salary of \(69,110. For that same year, a survey was conducted of 41 California registered nurses to determine if the annual salary is higher than \)69,110 for California nurses. The sample average was \(71,121 with a sample standard deviation of \)7,489. Conduct a hypothesis test.

Registered nurses earned an average annual salary of \(69,110. For that same year, a survey was conducted of 41 California registered nurses to determine if the annual salary is higher than \)69,110 for California nurses. The sample average was\(71,121with a sample standard deviation of \)7,489. Conduct a hypothesis test.

Toastmasters International cites a report by Gallop Poll that 40% of Americans fear public speaking. A student believes that less than 40% of students at her school fear public speaking. She randomly surveys361 schoolmates and finds that135 report they fear public speaking. Conduct a hypothesis test to determine if the percent at her school is less than 40%.

We want to test whether the mean height of eighth graders is 66inches. State the null and alternative hypotheses. Fill in the correct symbol (=,,,<,,>)for the null and alternative hypotheses.

a.H0:μ-66

b.Ha:μ-66

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