8.1-8.2 practice intro to hypothesis testing

Which of the following is the symbol for the null hypothesis?

• $H_0$

• $H_1$

• $\mu$

• $z_x$

Tags

CCSS.HSS.IC.B.3

If  $H_0$ : $\mu\ =\ 50$  and
 $H_1:\ \mu\ \ne50$  
then which type of test would we perform?

• left-tailed

• right-tailed

• two-tailed

If $H_0:\ \mu\ \ge\ 50$  and
 $H_1:\ \mu\ <\ 50$ 
then which type of test should we perform?

• left-tailed

• right-tailed

• two-tailed

A friend of yours claims to be a psychic.  You are skeptical.  To test this you take a stack of 100 playing cards and have your friend try to identify the suit (hearts, clubs, diamonds, spades), without looking, of course. You did the experiment and your friend correctly identified more than 25% of the cards.  A hypothesis test (at the  $\alpha\ =\ 0.01$ level) gave a P-value of 0.004.  What can you conclude?

• We should reject the null hypothesis.

• We should fail to reject the null hypothesis.

Tags

CCSS.HSS.IC.B.4

Which of the following represents the appropriate null & alternative hypotheses?

The mean height of women is greater than 64"

• 
  

  $H_o:\ \mu\ >\ 64$
  $H_1:\ \mu\ \le\ 64$
  
  

• $H_o:\ \mu\ \le\ 64$

  $H_1:\ \mu\ >64$
  
  

• H₀: p = 64"

  H₁: p ≠ 64"

• H₀: p = 64"

  H₁: p > 64"

Which of the following shows a right-tailed test?

• H₁: µ < 15

• H₀: µ < 15

• H₁: µ > 15

• H₀: µ > 15

What is an option for the null hypothesis?

• H₀ = k

• H₀ > k

• H₀ < k

• H₀ ≠ k

Which of the following is not an option for an alternate hypothesis?

• H₁ = k

• H₁ > k

• H₁ < k

• H₁ ≠ k

Tags

CCSS.HSS.IC.B.5

The weight of the average 6th grade student's backpack (with books in it) is 18.4 lbs. The principal of the school thinks that the backpack does not weight 18.4 lbs. What is the null and alternate hypothesis?

• H₀: μ = 18.4

  H₁: μ = 18.4

• H₀: μ = 18.4

  H₁: μ > 18.4

• H₀: μ = 18.4

  H₁: μ < 18.4

• H₀: μ = 18.4

  H₁: μ ≠ 18.4

In a hypothesis test, the alternative hypothesis is always a statement of equality. 

• True
• False