PROBLEM 2 It is known that life expectancy (population mean age at death) of mal
ID: 3064036 • Letter: P
Question
PROBLEM 2 It is known that life expectancy (population mean age at death) of males in urban areas of a less developed country is 55 years. A demographer suspects that life expectancy in rural areas of this country is less than 55 years. She identifies a random sample of 196 recent deaths of males in rural areas. In this sample, the mean age at death is 51.5 years, and the standard d ages at death is 21 years. (This problem does not reflect the actuarial definition of life expectancy, which is the expected number of years until death, computed at birth, using the age- specific mortality rates prevailing at the time of birth.) eviation of MC Q#9. Which are the appropriate null and alternative hypotheses? b. Ho :p255 vs. HA :55 MC O#10. What test statistic should we use? X-H N(O1 XH N(0,1) n-1 Vn ynExplanation / Answer
9) Option - b
10) Option - a
The test statistic t = (51.5 - 55)/(21/sqrt(196))
= -2.33
11) Option - a
At 10% significance level the critical value t0.1, 195 = -1.286
12) As the test statistic value is less than the critical value (-2.33 < -1.286), so the null hypothesis is rejected.
OPtion - b
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