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2018年CFA一级数量精选考点练习6-1 All else equal, is specifying a smaller significance level in a hypothesis test likely to increase the probability of a:
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Answer: B
Specifying a smaller significance level decreases the probability of a Type I error (rejecting a true null hypothesis), but increases the probability of a Type II error (not rejecting a false null hypothesis). As the level of significance decreases, the null hypothesis is less frequently rejected.
解析
这道题的重点是 Type I 和 Type II,第一类错误是拒绝了真的,也就是以真为假,第二类错误是接受了假的,也就是以假乱真。那smaller significance level扩大了落在真的区域的概率,所以真的会不太容易被弄错,但是假的会更容易被认错。也就因此,减少了错认真的的概率,增加了接受假的概率。所以这题选B。
2018年CFA一级数量精选考点练习6-2
A p-value of 0.02% means that a researcher:
A. Can reject the null hypothesis at the 5% significance level but cannot reject at the 1% significance level.
B. Can reject the null hypothesis at both the 5% and 1% significance levels.
C. Cannot reject the null hypothesis at either the 5% or 1% significance levels.
Answer: B
A p-value of 0.02% means that the smallest significance level at which the hypothesis can be rejected is 0.0002, which is smaller than 0.05 or 0.01. Therefore the null hypothesis can be rejected at both the 5% and 1% significance levels.
解析
这道题的重点是知道p-value在拒绝和接受的决策中,是和哪个数值进行比较的。P-value的对应数值要求是significance level,当p-value小于significance level的时候,是拒绝原假设。当p-value大于significance level的时候,是接受原假设。而在这道题目中,p-value是0.02%,小于significance level的5%和1%,所以应该是同时拒绝。答案选B。
2018年CFA一级数量精选考点练习6-3
Studies of performance of a sample of mutual fund managers most likely suffer from:
A. Sample-selection bias.
B. Look-ahead bias.
C. Survivor-ship bias
Answer: C
Studies of the performance of mutual fund managers often suffer from survivorship bias as poorly performing funds are closed down and are not included in the sample.
解析
幸存者偏差是一个重要的偏差概念,常出现在研究中。就是你所调研的目标群体,其实已经是经历过筛选的。就像这题,调研共同基金经理的案例性状,其实已经默认这个共同基金经理是还在工作的,是没有破产或者被开除的。那么他就已经有了能力底线了。答案是C。
2018年CFA一级数量精选考点练习6-4
An investor is considering investing in Tawari Company for one year. He expects to receive $2 in dividends over the year and feels he can sell the stock for $30 at the end of the year. To realize a return on the investment over the year of 14%, the price the investor would pay for the stock today is closest to:
A. $29
B. $28
C. $32
Answer: B
HPR= [Dividend + (Ending price ? Beginning price)] / Beginning price
0.14= [2+ (30?P)]/P
1.14P=32 so P=$28.07
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