MATH 225N WEEK 7 HYPOTHESIS TESTING
REVIEW STUDY SHEET 2026 ACCURATE
RESPONSES FULL SOLUTION
◉ *P* - value (probability value). Answer: The probability of
obtaining a sample statistic with a value as extreme or more extreme
than the one determined by the sample data. (p. 353)
◉ left-tailed test (p. 354). Answer: Type of hypothesis test that
occurs if the alternative hypothesis *H*∨*a* contains the less-than
inequality symbol (<). (Since I don't have Quizlet+, I can't insert the
image of the actual normal curve; ergo, I pasted (some of) the
information.)
*H₀*: *μ* ≥ *k*
*H*∨*a*: *μ* < *k*
(*P* is the area to the left of the standardized test statistic.)
◉ right-tailed test (p. 354). Answer: Type of hypothesis test that
occurs if the alternative hypothesis *H*∨*a* contains the greater-
than inequality symbol (>). (Since I don't have Quizlet+, I can't insert
the image of the actual normal curve; ergo, I pasted (some of) the
information.)
,*H₀*: *μ* ≤ *k*
*H*∨*a*: *μ* > *k*
(*P* is the area to the right of the standardized test statistic.)
◉ two-tailed test (p. 354). Answer: Type of hypothesis test that
occurs if the alternative hypothesis *H*∨*a* contains the not-equal-
to symbol (≠). In a *two-tailed test*, each tail has an area of *½*×*P*.
(Since I don't have Quizlet+, I can't insert the image of the actual
normal curve; ergo, I pasted (some of) the information.)
*H₀*: *μ* = *k*
*H*∨*a*: *μ* ≠ *k*
~~ *[a]:* The area to the *left* of the *negative* standardized test
statistic is *½*×*P*.
~~ *[b]:* The area to the *right* of the *positive* standardized test
statistic is *½*×*P*.
◉ *(Y.T.I.): Exercise 4 (p. 356):* Determine whether the claim stated
below represents the null hypothesis or the alternative hypothesis. If
a hypothesis test is performed, how should you interpret a decision
, that (a) rejects the null hypothesis or (b) fails to reject the null
hypothesis?
*A scientist claims that the mean incubation period for the eggs of a
species of bird is more than 56 days.*
*Part 1:* Does the claim represent the null hypothesis or the
alternative hypothesis?
Since the claim *_______(1)_______* a statement of equality, it
represents the *_____(2)_____* hypothesis.
*Part 2 (a):* How should you interpret a decision that rejects the
null hypothesis?
There is *____(1)____* evidence to *____(2)____* the claim that the
mean incubation period for the eggs of a species of bird is more than
56 days.
*Part 3 (b):* How should you interpret a decision that fails to reject
the null hypothesis?
There i. Answer: Correct Answers:
*Part 1:*
*(1):* *does not contain*
*(2):* *alternative*
*Part 2 (a):*
REVIEW STUDY SHEET 2026 ACCURATE
RESPONSES FULL SOLUTION
◉ *P* - value (probability value). Answer: The probability of
obtaining a sample statistic with a value as extreme or more extreme
than the one determined by the sample data. (p. 353)
◉ left-tailed test (p. 354). Answer: Type of hypothesis test that
occurs if the alternative hypothesis *H*∨*a* contains the less-than
inequality symbol (<). (Since I don't have Quizlet+, I can't insert the
image of the actual normal curve; ergo, I pasted (some of) the
information.)
*H₀*: *μ* ≥ *k*
*H*∨*a*: *μ* < *k*
(*P* is the area to the left of the standardized test statistic.)
◉ right-tailed test (p. 354). Answer: Type of hypothesis test that
occurs if the alternative hypothesis *H*∨*a* contains the greater-
than inequality symbol (>). (Since I don't have Quizlet+, I can't insert
the image of the actual normal curve; ergo, I pasted (some of) the
information.)
,*H₀*: *μ* ≤ *k*
*H*∨*a*: *μ* > *k*
(*P* is the area to the right of the standardized test statistic.)
◉ two-tailed test (p. 354). Answer: Type of hypothesis test that
occurs if the alternative hypothesis *H*∨*a* contains the not-equal-
to symbol (≠). In a *two-tailed test*, each tail has an area of *½*×*P*.
(Since I don't have Quizlet+, I can't insert the image of the actual
normal curve; ergo, I pasted (some of) the information.)
*H₀*: *μ* = *k*
*H*∨*a*: *μ* ≠ *k*
~~ *[a]:* The area to the *left* of the *negative* standardized test
statistic is *½*×*P*.
~~ *[b]:* The area to the *right* of the *positive* standardized test
statistic is *½*×*P*.
◉ *(Y.T.I.): Exercise 4 (p. 356):* Determine whether the claim stated
below represents the null hypothesis or the alternative hypothesis. If
a hypothesis test is performed, how should you interpret a decision
, that (a) rejects the null hypothesis or (b) fails to reject the null
hypothesis?
*A scientist claims that the mean incubation period for the eggs of a
species of bird is more than 56 days.*
*Part 1:* Does the claim represent the null hypothesis or the
alternative hypothesis?
Since the claim *_______(1)_______* a statement of equality, it
represents the *_____(2)_____* hypothesis.
*Part 2 (a):* How should you interpret a decision that rejects the
null hypothesis?
There is *____(1)____* evidence to *____(2)____* the claim that the
mean incubation period for the eggs of a species of bird is more than
56 days.
*Part 3 (b):* How should you interpret a decision that fails to reject
the null hypothesis?
There i. Answer: Correct Answers:
*Part 1:*
*(1):* *does not contain*
*(2):* *alternative*
*Part 2 (a):*
