A recent poll reported that 62 of all college students believe there is extraterrestrial life. The 95 margin of error for the poll was 4. Which of the following statements is correct?
a. We can be certain that the percentage of all college students who believe there is extraterrestrial life is in the interval 58 to 66.
b. The chance is 95 that at least 62 of all college students believe there is extraterrestrial life.
c. With 95 confidence we can say that the percentage of all college students who believe there is extraterrestrial life is between 58 and 66.
d. The chance is 5 that at least 62 of all college students believe there is extraterrestrial life.
Question 2
According to a Gallup poll, about 90 of all American adults owned a cell phone at the time of the poll. The results are based on telephone interviews with a randomly selected national sample of 998 adults, 18 years and older. The margin of error was reported to be 3.5. Which of the following statements correctly interprets the reported margin of error of 3.5?
a. In about 95 of all random samples of this size from the same population, the difference between the sample percent and the population percent will be less than 3.5.
b. In about 3.5 of all random samples of this size from the same population, the sample percent will equal the population percent.
c. The probability that a 95 confidence interval based on this poll does not cover the population proportion is 3.5.
d. In about 95 of all random samples of this size from the same population, the difference between the sample percent and the population percent will be more than 3.5.
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