8. Perchlorate is a chemical used in rocket fuel. People who live near a former rocket-testing site are concerned that perchlorate is present in unsafe amounts in their drinking water. Drinking water is considered safe when the average level of perchlorate is 24.5 parts per billion (ppb) or less. A random sample of 28 water sources in this area produces a mean perchlorate measure of 25.3 ppb. Which of the following is an appropriate alternative hypothesis that addresses their concern? * A. population mean # 24.5 B. population mean > 24.5 C. population mean > 25.3 D. population mean < 24.5 E. population mean < 25.3

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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8. Perchlorate is a chemical used in rocket fuel. People who live near a former rocket-testing site are concerned
that perchlorate is present in unsafe amounts in their drinking water. Drinking water is considered safe when the
average level of perchlorate is 24.5 parts per billion (ppb) or less. A random sample of 28 water sources in this
area produces a mean perchlorate measure of 25.3 ppb. Which of the following is an appropriate alternative
hypothesis that addresses their concern? *
A. population mean # 24.5
B. population mean > 24.5
C. population mean > 25.3
D. population mean < 24.5
E. population mean < 25.3
9. A physician believes that the exercise habits of Avi's Bright Kids 1.0 are different from the exercise habits of
Avi's Bright. Kids 2.0. To study this, the physician gathers information on the number of hours of exercise per week
from a random sample of Avi's Bright Kids 1.0 and a random sample of Avi's Bright Kids 2.0. Which of the following
might be an appropriate null hypothesis for this study?
A. The average number of hours of exercise per week for Avi's Bright Kids 1.0 is less than the average number of
hours of exercise per week for Avi's Bright Kids 2.0.
B. The average number of hours of exercise per week for Avi's Bright Kids 1.0 is greater than the average number of
hours of exercise per week for Avi's Bright Kids 2.0.
C. The average number of hours of exercise per week for Avi's Bright Kids 1.0 is different from the average number
of hours of exercise per week for Avi's Bright Kids 2.0.
D. The probability is 0.5 than an Avi's Bright Kid 1.0 and an Avi's Bright Kid 2.0 exercise an equal number of hours per
week.
E. The average number of hours of exercise per week for Avi's Bright Kids 1.0 is the same as the average number of
hours of exercise per week for Avi's Bright Kids 2.0.
10. Which of the following is a true statement?
A. The alternative hypothesis is stated in terms of a sample statistic.
B. A well-planned hypothesis test should result in a statement either that the null hypothesis is true or that it is false.
C. Hypothesis tests are designed to measure the strength of evidence against the null hypothesis.
D. If a sample is large enough, the necessity for it to be a simple. random sample is diminished.
E. When the null hypothesis is rejected, it is because it is not true.
11. Based on a survey of a random sample of 900 adults in a country, a journalist reports that 60 percent of adults
in that country are in favor of increasing the minimum hourly wage. If the reported percent has a margin of error
of 2.7 percentage points, which of the following is closest to the confidence level? *
A. 99%
B. 80%
C. 95%
D. 90%
E. 95.5%
Transcribed Image Text:8. Perchlorate is a chemical used in rocket fuel. People who live near a former rocket-testing site are concerned that perchlorate is present in unsafe amounts in their drinking water. Drinking water is considered safe when the average level of perchlorate is 24.5 parts per billion (ppb) or less. A random sample of 28 water sources in this area produces a mean perchlorate measure of 25.3 ppb. Which of the following is an appropriate alternative hypothesis that addresses their concern? * A. population mean # 24.5 B. population mean > 24.5 C. population mean > 25.3 D. population mean < 24.5 E. population mean < 25.3 9. A physician believes that the exercise habits of Avi's Bright Kids 1.0 are different from the exercise habits of Avi's Bright. Kids 2.0. To study this, the physician gathers information on the number of hours of exercise per week from a random sample of Avi's Bright Kids 1.0 and a random sample of Avi's Bright Kids 2.0. Which of the following might be an appropriate null hypothesis for this study? A. The average number of hours of exercise per week for Avi's Bright Kids 1.0 is less than the average number of hours of exercise per week for Avi's Bright Kids 2.0. B. The average number of hours of exercise per week for Avi's Bright Kids 1.0 is greater than the average number of hours of exercise per week for Avi's Bright Kids 2.0. C. The average number of hours of exercise per week for Avi's Bright Kids 1.0 is different from the average number of hours of exercise per week for Avi's Bright Kids 2.0. D. The probability is 0.5 than an Avi's Bright Kid 1.0 and an Avi's Bright Kid 2.0 exercise an equal number of hours per week. E. The average number of hours of exercise per week for Avi's Bright Kids 1.0 is the same as the average number of hours of exercise per week for Avi's Bright Kids 2.0. 10. Which of the following is a true statement? A. The alternative hypothesis is stated in terms of a sample statistic. B. A well-planned hypothesis test should result in a statement either that the null hypothesis is true or that it is false. C. Hypothesis tests are designed to measure the strength of evidence against the null hypothesis. D. If a sample is large enough, the necessity for it to be a simple. random sample is diminished. E. When the null hypothesis is rejected, it is because it is not true. 11. Based on a survey of a random sample of 900 adults in a country, a journalist reports that 60 percent of adults in that country are in favor of increasing the minimum hourly wage. If the reported percent has a margin of error of 2.7 percentage points, which of the following is closest to the confidence level? * A. 99% B. 80% C. 95% D. 90% E. 95.5%
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