Unit 8 Quiz

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

The mean height of women is more than 64"

• H₀: p > 64"

  Hₐ: p≠ 64"

• H₀:p < 64"

  Hₐ: p > 64"

• H₀: p > 64"

  Hₐ: p ≠ 64"

• H₀: p = 64"

  Hₐ: p > 64"

Suppose the P-value for a hypothesis test is 0.0367. Using   $\alpha=.05$  , what is the appropriate conclusion?

• a) Reject the null hypothesis

• b) Reject the alternative hypothesis

• c) Fail to reject the null hypothesis

• d) Fail to reject the alternative hypothesis

When the p-value is greater than  $\alpha=.05$  , then we ... 

• Reject Ho

• Fail to reject Ha

• Fail to reject Ho

• Reject Ha

A mayor is concerned about the percentage of city residents who express disapproval of his job performance. His political committee pays for a newspaper ad, hoping to keep his disapproval rating below 21%. They will use a follow up poll to access effectiveness. 100 people are surveyed and 20 disapprove. What are the correct null and alternative hypotheses?

• Ho: p > 21

  Ha: p < 21

• Ho: p > .20

  Ha: p < .20

• Ho: p < .21

  Ha: p > .21

• Ho: p > .21

  Ha: p < .21

What is the only option for the null hypothesis? 

• H₀ = k
• H₀ > k
• H₀ < k
• H₀ ≠ k

The pair of hypothesis are shown below. What type of test do you have?

H₀: p = k

H_a: p > k

• Two-tailed test

• Left-tailed test

• Right-tailed test

The weight of an average backpack (with books in it) is 19.5 lbs. The principal of the school thinks that the backpack does not weight 19.5 lbs. What is the null and alternate hypothesis?

• H₀ : p = 19.5

  H_a : p = 19.5

• H₀ :p = 19.5

  H_a : p >19.5

• H₀ :p = 19.5

  H_a :p < 19.5

• H₀ :p = 19.5

  H_a :p ≠ 19.5

Historically, about 58% of Americans believe in global warming. You looked at a poll to determine if this proportion has changed. If you found the p-value to be .0406 and you chose a significance level of .05, what if the correct interpretation?

• The percentage of Americans who believe in global warming is not significantly different from 58%.

• The percentage of Americans who believe global warming is real has changed from the historical level of 58% and is significantly different.

• The percentage of Americans who believe global warming is real has increased.

• The percentage of Americans who believe in global warming has decreased over time.

Historically, the proportion of people who pass the bar exam the first time is 78%. You wish to see if the percentage of people who pass the bar exam has increased. Suppose 669 out of 1029 lawyers passed the bar exam the first time. Use a significance level of .05.

Find the z-value (to the nearest hundredth -2 decimal places)

Historically, 53% of people like M&M's. 510 out of 1000 people recently surveyed liked M & M's. You want to see if the percentage of people liking M & M's has changed. Use a significance level of .05. Find the p-value (to the nearest thousandth place-3 digits after the decimal)