Unit 6 Day 6 Warm-Up

A large-scale study found that 42% of Americans play video games. A random sample of 1100 teenagers were asked whether they play games online; 575 said they did. Is there sufficient evidence to suggest that the proportion of teens who play video games is different from the national figure? Use a 5% level of significance.

Select the correct hypotheses. (2 answers)

• H0: p = 0.42

• Ha: p = 0.42

• H0: p = 775/1100

• Ha: p ≠ 0.42

• Ha: p ≠ 775/1100

A large-scale study found that 42% of Americans play video games. A random sample of 1100 teenagers were asked whether they play games online; 575 said they did. Is there sufficient evidence to suggest that the proportion of teens who play video games is different from the national figure? Use a 5% level of significance.

Which is the correct conclusion for this test?

• Snice p-value = 5.08 x 10 ^-12 < 0.05, I reject H0. There is enough evidence to suggest a difference.

• Snice p-value = 5.08 x 10 ^-12 < 0.05, I fail to reject H0. There is enough evidence to suggest a difference.

• Snice p-value = 5.08 > 0.05, I fail to reject H0. There is not enough evidence to suggest a difference.

• Snice p-value = 5.08 > 0.05, I reject H0. There is enough evidence to suggest a difference.

A nationwide survey of 1500 adults asked about attitudes toward “alternative medicine” such as acupuncture, massage therapy, etc. Among the 1500 respondents, 660 said they would use alternative medicine if traditional medicine was not producing the results they wanted. Do these data provide enough evidence to suggest that less than half of all adults would use alternative medicine if traditional medicine didn’t produce their desired results? Use a 5% level of significance.

Select the correct hypotheses. (2 answers)

• H0: p = 0.50

• Ha: p = 0.50

• H0: p = 660/1500

• Ha: p < 660/1500

• Ha: p < 0.50

Sally reads a newspaper report claiming that 12% of all adults in the U.S. are left-handed. She decides to test this claim. Sally selects a random sample of 55 classmates and finds that 9 were left-handed. Does this provide sufficient evidence that the proportion of lefties in Sally’s school is different than the national figure? Use α = 0.01.

Which is the correct conclusion for this test?

• Snice p-value = 0.319 < 0.01, I reject H0. There is enough evidence to suggest a difference.

• Snice p-value = 0.319 > 0.01, I reject H0. There is enough evidence to suggest a difference.

• Snice p-value = 0.319 > 0.01, I fail to reject H0. There is not enough evidence to suggest a difference.

• Snice p-value = 0.319 < 0.01, I fail to reject H0. There is enough evidence to suggest a difference.

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"

In testing hypotheses, which of the following would be strong evidence against the null hypothesis?

• using a small level of significance
• using a large level of significance
• obtaining data with a small p-value
• obtaining data with a low test statistic

Tags

CCSS.HSS.IC.B.5

A P-value indicates:

• the probability that the null hypothesis is true
• the probability that the alternative hypothesis is true
• the probability of obtaining the results (or one more extreme) if the null hypothesis is true
• probability of a Type I error

Tags

CCSS.7.RP.A.2D

Suppose the P-value for a hypothesis test is 0.0304. Using a = 0.05, 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

Tags

CCSS.HSS.IC.B.5

When p-value is greater than alpha we:

• Reject Ho

• Fail to reject Ha

• Fail to reject Ho

• Reject Ha

It was found that in a sample of 90 teenage boys, 70% of them have received speeding tickets.  What is the 90% confidence interval of the true proportion of teenage boys who have received speeding tickets? 

• (0.621, 0.780)
• (0.591, 0.812)
• (0.584, 0.830)
• (0.615, 0.805)