P (X ? 150) = P (X > (150-0.5)) = P (X > 149.5)
ii) the probability of no more than 6 absent students in a statistics class.
P (X ? 6) = P (X < (6 + 0.5)) = P (X < 6.5)
iii) the probability that fewer than 24 students understanding continuity correction.
P (X < 24) = P (X < (24-0.5)) = P (X < 23.5)
iv) the probability of exactly 46 marbles.
P (X = 46) = P ((46-0.5) < X < (46 + 0.5)) = P (45.5 < X < 46.5)
Chapter 7
DIRECTIONS: Match the description on the left with the correct word or name on the right. Write the correct letter in the space provided.
Question # 1.
i) ____E____ is the probability 1 - (
A. Margin of Error
ii) __F____ a range of values used to estimate the true B. upper confidence value of a population parameter. limit minus the lower
. confidence limit, divided . By 2.
iii) __B____ maximum error of the estimate C. q = 1 -- p
iv) ____G____ critical value D. Point Estimate
v) ____A__ EE. Confidence level
vi)____D____ is a single value used to approximate a F. Confidence interval population parameter.
vii)____C____ sample proportion of failures in a G. z (/2
sample of size n.
2. According to the text what are the 5 observations needed to determine critical values?
i) Sample proportions approximated by normal distribution
ii) level of significance (?)
iii) two-tailed (?/2) to identify rejection/critical...
Find the critical value corresponding to a 98% of confidence. Use Table A2.
(Make a bell-shaped graph in answering this question)
Z-score
Area
2.05
0.9798
Critical value
0.98
2.06
0.9803
Interpolating gives:
4. Find the margin of error (E) for the 95% confidence interval used to estimate the population proportion.
In a survey of 5400 T.V. viewers, 30% said they watch network news programs.
Given sample size, n = 5400, population proportion, p = 30% = 0.30
The critical value, Zc of 95% confidence level = 1.96
Thus, margin of error E =
5. Use the given confidence interval limits to find the point estimate p and the margin of error E.
(i) (209, 212)
Confidence Interval, CI:, where
: point estimate, E: margin of error,: proportion
Given CI: (209, 212)
(1)
(2)
Adding equations (1) and (2), gives
Subtracting equation (1) from (2), gives
(ii) 2.17( p ( 2.57
Given CI: (2.17, 2.57)
(3)
(4)
Adding equations (3) and (4), gives
Subtracting equation (3) from (4), gives
6. Assume that a sample is used to estimate a population proportion p. Find the margin of error E. that corresponds…
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