Mathematics, 07.04.2020 17:31 jaici68
A well-known brokerage firm executive claimed that at least 90% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 800 people, 88% of them said they are confident of meeting their goals.
a) For this claim state the null and alternative hypothesis as an expression: (multiple choice)
A. H0:?=0.9
HA:??0.9
B. H0:p=0.9
HA:p<0.9
C. H0:?=0.9
HA:?>0.9
D. H0:?=0.9
HA:?<0.9
E. H0:p=0.9
HA:p>0.9
F. H0:p=0.9
HA:p?0.9
b) State the null hypothesis as a complete sentence:
State the alternative hypothesis as a complete sentence:
This test would require a test. (multiple choice)
a. right-tailed
b. quad-tailed
c. left-tailed
d. two-tailed
c) How could we re-write the claim to make this a two-tail test? (sentence)
d) Test the claim that the proportion of people who are confident is smaller than 90% at the 0.05 significance level. Determine the following:
The test statistic: (round to the 3rd decimal)
The p-value: (round to the 4th decimal)
e) What would be our formal conclusion about the null hypothesis at a 0.05 significance level?
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