Suppose that 90 and 98 confidence intervals are both computed for a population proportion (using the ...

Suppose that 90 and 98 confidence intervals are both computed for a population proportion (using the same sample). Which confidence level will give the narrowest interval?
 a. 90
  b. 98
  c. It depends on the value of the sample proportion.
  d. It depends on the value of the true population proportion.

Q. 2

Which of the following statements is true for 6 tosses of a fair coin, where H = Heads and T = Tails?
 a. Sequences with all heads, like HHHHHH, are less likely than specific sequences with 3 heads and 3 tails, like HTHTHT.
  b. Sequences with all heads, like HHHHHH, are more likely than specific sequences with 3 heads and 3 tails, like HTHTHT.
  c. All specific sequences six letters long (made up of H's and T's), regardless of the number of H's and T's, are equally likely.
  d. None of the above.

Q. 3

When creating a confidence interval for a proportion the conservative margin of error (studied in Chapter 5) and the margin of error found by taking 2 standard errors are closest to each other when
 a. the true proportion p is close to 0 .
  b. the true proportion p is close to 1 .
  c. the true proportion p is close to .5 .
  d. the true proportion p is close to the sample proportion .

Q. 4

A test to detect prostate cancer in men has a specificity of 80. This means that
 a. 80 of the men who test positive will actually have prostate cancer.
  b. 80 of the men with prostate cancer will test positive.
  c. 80 of the men who do not have prostate cancer will test negative.
  d. 80 of the men who test negative will actually not have prostate cancer.

Q. 5

You plan to determine an approximate 95 confidence interval for a population proportion; you plan to use a conservative margin of error of 5. How large a sample size do you need?
 a. 100
  b. 400
  c. 2500
  d. None of the above

Q. 6

A test to detect prostate cancer in men has a sensitivity of 95. This means that
 a. 95 of the men who test positive will actually have prostate cancer.
  b. 95 of the men with prostate cancer will test positive.
  c. 95 of the men who do not have prostate cancer will test negative.
  d. 95 of the men who test negative will actually not have prostate cancer.

Q. 7

Which of the following is the minimum sample size that could be used to guarantee that the margin of error for a confidence interval for a proportion is no more than 0.025?
 a. 100
  b. 400
  c. 1600
  d. 2500

Q. 8

When 4 cards are drawn randomly from a standard 52-card deck without replacement, what is the probability that the first two cards are Hearts and the second two cards are Spades?