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Chapter 9: Q. 39 (page 538)
What should you do if
When a equals p-value, the null hypothesis should not be rejected.
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"Asian Family Reunion," by Chau Nguyen every two years it comes around. We all get together from different towns. In my honest opinion, It's not a typical family reunion. Not forty, or fifty, or sixty, But how about seventy companions! The kids would play, scream, and shout One minute they're happy, another they'll pout. The teenagers would look, stare, and compare from how they look to what they wear. The men would chat about
their business . That they make more, but never less. Money is always their subject and there's always talk of more new projects. The women get tired from all of the chats. They head to the kitchen to set out the mats. Some would sit and some would stand eating and talking with plates in their hands. Then come the games and the songs and suddenly, everyone gets along! With all that laughter, it's sad to say that it always ends in
the same old way. They hug and kiss and say "good-bye" and then they all begin to cry! I say that 60 percent shed their tears but my mom counted 35 people this year. She said
that boys and men will always have their pride, so we won't ever see them cry. I myself don't think she's correct, so could you please try this problem to see if you object?
Determine both Typeand Typeerrors for the following scenario:
Assume a null hypothesis,, that states the percentage of adults with jobs is at least .
Identify the Typeand Type errors from these four statements.
a. Not to reject the null hypothesis that the percentage of adults who have jobs is at least when that percentage is actually less than
b. Not to reject the null hypothesis that the percentage of adults who have jobs is at least when the percentage is actually at least .
c. Reject the null hypothesis that the percentage of adults who have jobs is at least when the percentage is actually at least .
d. Reject the null hypothesis that the percentage of adults who have jobs is at least when that percentage is actually less than .
Draw the general graph of the left-tailed test.
A particular brand of tires claims that its deluxe tire averages at least miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be . A survey of owners of that tire design is conducted. From the tires surveyed, the mean lifespan was miles with a standard deviation of miles. Using alpha =, is the data highly inconsistent with the claim?
Assume and Is this a left-tailed, right-tailed, or two-tailed test?
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