TESTING OF HYPOTHESES

Which of the following is a simple hypothesis regarding parameter of poisson distribution

• H₀: λ ≠5

• H₀: λ = 5

• H₀: λ = -1

• H₀: λ > 0

Which of the following represents the appropriate null & alternative hypotheses?
The mean height of women is greater than 64"

• H₀: μ > 64"
  Hₐ: μ ≠ 64"
• H₀: μ = 64"
  Hₐ: μ > 64"
• H₀: p > 64"
  Hₐ: p ≠ 64"
• H₀: p = 64"
  Hₐ: p > 64"

5% of trucks of a certain model have needed new engines after being driven between 0 and 100 miles.  The manufacturer hopes that the redesign of one of the engine's components has solved this problem.  Write the null and alternative hypotheses for this situation.

• Ho:  p< 0.05
  Ha:  p = 0.05
• Ho:  p = 0.05
  Ha:  p > 0.05
• Ho:  p = 0.05
  Ha:  p < 0.05
• Ho:  p > 0.05
  Ha:  p = 0.05

Probability of rejecting H₀ when H₀ is true is called ....

• Type I error

• Type II error

• Power of the test

• Significance level

The value of power of a test lies between

• 0 and ∞

• -∞ and +∞

• 0 and 1

• -1 and +1

A __________ occurs if you accept the null hypothesis when it is false.

• Type I error

• Type II error

Neyman pearson lemma can be used to obtain most powerful test when testing problem is

• Simple null hypothesis vs simple alternative hypothesis

• Simple null hypothesis vs composite alternative hypothesis

• Composite null hypothesis vs composite alternative hypothesis

• All the above

If X >1 is the critical region for testing H₀:θ=2 vs H₁: θ=1 based on a single observation from an exponential distribution, then significance level of the test is .....

• 0

• e^-1

• e²

• e^-2

State true or false: It is not possible to find uniformly most powerful test using Neyman pearson lemma

• True

• False

In a test of hypothesis, a test statistic is computed from the sample data.

• TRUE

• FALSE