HYPOTHESIS TESTING Flashcards
shows that there is no difference between population mean / parameters
null hypothesis
shows that there is a difference between population mean / parameters
alternative hypothesis
the range of the values of the test value that indicates that there is a significant difference and Ho should be rejected
critical / rejection region
the range of the values of the test value that indicates that there is no significant difference and Ho should NOT be rejected
non-critical / non-rejection region
range of values that indicates that the difference was probably due to chance.
non-critical / non-rejection region
requires a more extreme test statistic to reject the null hypothesis and it is more conservative than the other type of test
two-tailed test
a test that depends on the direction of inequality of the alternative hypothesis
one-tailed test
DECISION: When the confidence interval contains the hypothesized mean
do not reject
DECISION: When the confidence interval DOES NOT contain the hypothesized mean
reject
DECISION: Z_c > Z_a
reject
DECISION: Z_c >= Z_a
reject
DECISION: t_c < t_a
do not reject
[TYPE OF TEST]
One of the undersecretaries of DOLE claims that the average salary of a civil engineer is Php28,000.00. A sample of 19 CE salaries has a mean of Php 27, 350.00 and standard deviation of Php 1, 230.00. Is there enough evidence to reject the undersecretary’s claim at a = 0.01?
t-test
[TYPE OF TEST]
A researcher claims that 20-year old women on a special diet will have an average weight of 110 pounds. A sample of 15 women has na average weight of 112.5 pounds and a standard deviation of 5 pounds. At a = 0.01, can the claim be rejected?
t-test
[TYPE OF TEST]
Group A Group B
Population mean 50 55
Population sd 10 12
Population size 20 30
z-test
[TYPE OF TEST]
A researcher reports that the average salary of company managers is more than php63 000.00. A sample of 25 company managers has a mean salary of Php 65 700.00. At a = 0.01, test the claim that the company managers earn more than Php 63 000.00 a month. The standard deviation of the population is Php 5 250.00.
z-test
[TYPE OF TEST]
Subjects are randomly selected. The population distribution is normal. The population should be known. Cases of the samples should be independent and its size is equal or more than thirty.
z-test
separates critical from non-critical region
critical value
[WHAT TEST STATISTIC] PSD Known
z-test
[WHAT TEST STATISTIC] PSD Unknown, n<30
t-test
[WHAT TEST STATISTIC] PSD Unknown, equal variance
t-test
