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Chapter 10: Q. 22 (page 597)
In symbols, what is the random variable of interest for this test?
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Two computer users were discussing tablet computers. A higher proportion of people ages to use tablets than the proportion of people age and older. Table localid="1653641949025" details the number of tablet owners for each age group. Test at the localid="1653641953436" level of significance.
Table.localid="1653641957518"
| localid="1653641961619" years old | localid="1653641966431" years old and older | |
| Own table | 69 | 231 |
| Sample size | 628 | 2309 |
A golf instructor is interested in determining if her new technique for improving players' golf scores is effective. She takes four new students. She records their 18 -hole scores before learning the technique and then after having taken her class. She conducts a hypothesis test. The data are as follows.
The correct decision is
a. Reject
b. Do not reject
Comparing Two Independent Population Proportions.
Use the following information for the next five exercises. Two types of phone operating system are being tested to determine if there is a difference in the proportions of system failures (crashes). Fifteen out of a random sample of 150 phones with OS1 had system failures within the first eight hours of operation. Nine out of another random sample of 150 phones with OS2 had system failures within the first eight hours of operation. OS2 is believed to be more stable (have fewer crashes) than OS1.
State the null and alternative hypotheses
Use the following information to answer the next twelve exercises. In the recent Census, three percent of the U.S. population reported being of two or more races. However, the percent varies tremendously from state to state. Suppose that two random surveys are conducted. In the first random survey, out of 1,000 North Dakotans, only nine people reported being of two or more races. In the second random survey, out of 500 Nevadans, 17 people reported being of two or more races. Conduct a hypothesis test to determine if the population percents are the same for the two states or if the percent for Nevada is statistically higher than for North Dakota.
State the null and alternative hypotheses.
a.
b. :
99. A recent drug survey showed an increase in the use of drugs and alcohol among local high school seniors as compared to the national percent. Suppose that a survey of 100 local seniors and 100 national seniors is conducted to see if the proportion of drug and alcohol use is higher locally than nationally. Locally, 65 seniors reported using drugs or alcohol within the past month, while 60 national seniors reported using them.
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