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Chapter 9: Q. 60 (page 540)
Assume the null hypothesis states that the mean is at most . Is this a left-tailed, right-tailed, or two-tailed test?
This is a test with a right-tailed distribution.
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Over the past few decades, public health officials have examined the link between weight concerns and teen girls' smoking. Researchers surveyed a group of 273 randomly selected teen girls living in Massachusetts (between 12 and 15 years old). After four years the girls were surveyed again. Sixty-three said they smoked to stay thin. Is there good evidence that more than thirty percent of the teen girls smoke to stay thin?
After conducting the test, your decision and conclusion are
a. Reject H0: There is sufficient evidence to conclude that more than 30% of teen girls smoke to stay thin.
b. Do not reject H0: There is not sufficient evidence to conclude that less than 30% of teen girls smoke to stay thin.
c. Do not reject H0: There is not sufficient evidence to conclude that more than 30% of teen girls smoke to stay thin.
d. Reject H0: There is sufficient evidence to conclude that less than 30% of teen girls smoke to stay thin.
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.
La Leche League International reports that the mean age of weaning a child from breastfeeding is age four to five worldwide. In America, most nursing mothers wean their children much earlier. Suppose a random survey is conducted of 21 U.S. mothers who recently weaned their children. The mean weaning age was nine months (3/4 year) with a standard deviation of 4 months. Conduct a hypothesis test to determine if the mean weaning age in the U.S. is less than four years old.
"Phillip鈥檚 Wish," by Suzanne Osorio
My nephew likes to play
Chasing the girls makes his day.
He asked his mother
If it is okay
To get his ear pierced.
She said, 鈥淣o way!鈥�
To poke a hole through your ear,
Is not what I want for you, dear.
He argued his point quite well,
Says even my macho pal, Mel,
Has gotten this done.
It鈥檚 all just for fun.
C鈥檓on please, mom, please, what the hell.
Again Phillip complained to his mother,
Saying half his friends (including their brothers)
Are piercing their ears
And they have no fears
He wants to be like the others.
She said, 鈥淚 think it鈥檚 much less.
We must do a hypothesis test.
And if you are right,
I won鈥檛 put up a fight.
But, if not, then my case will rest.鈥�
We proceeded to call fifty guys
To see whose prediction would fly.
Nineteen of the fifty
Said piercing was nifty
And earrings they鈥檇 occasionally buy.
Then there鈥檚 the other thirty-one,
Who said they鈥檇 never have this done.
So now this poem鈥檚 finished.
Will his hopes be diminished,
Or will my nephew have his fun?
The US Department of Energy reported that of homes were heated by natural gas. A random sample of homes in Kentucky found that were heated by natural gas. Does the evidence support the claim for Kentucky at the level in Kentucky? Are the results applicable across the country? Why?
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