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Chapter 9: Q. 6 (page 537)
A sociologist claims the probability that a person picked at random in Times Square in New York City is visiting the area isYou want to test to see if the claim is correct. State the null and that alternative hypothesis.
is the null hypothesis.
is the alternative hypothesis.
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Assume the null hypothesis states that the mean is at most 12. Is this a left-tailed, right-tailed, or two-tailed test?
The Weather Underground reported that the mean amount of summer rainfall for the northeastern US is at least 11.52 inches. Ten cities in the northeast are randomly selected and the mean rainfall amount is calculated to be 7.42 inches with a standard deviation of 1.3 inches. At the 伪 = 0.05 level, can it be concluded that the mean rainfall was below the reported average? What if 伪 = 0.01? Assume the amount of summer rainfall follows a normal distribution.
When a new drug is created, the pharmaceutical company must subject it to testing before receiving the necessary permission from the Food and Drug Administration (FDA) to market the drug. Suppose the null hypothesis is 鈥渢he drug is unsafe.鈥� What is the Type II Error?
a. To conclude the drug is safe when in, fact, it is unsafe.
b. Not to conclude the drug is safe when, in fact, it is safe.
c. To conclude the drug is safe when, in fact, it is safe.
d. Not to conclude the drug is unsafe when, in fact, it is unsafe.
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.
According to an article in Bloomberg Businessweek, New York City's most recent adult smoking rate is Suppose that a survey is conducted to determine this year鈥檚 rate. Nine out of randomly chosen N.Y. City residents reply that they smoke. Conduct a hypothesis test to determine if the rate is still or if it has decreased.
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