Question

In: Statistics and Probability

Regarding hypothesis testing, the significance level, alpha, is the probability of…. Rejecting the alternative hypothesis when...

  1. Regarding hypothesis testing, the significance level, alpha, is the probability of….
  1. Rejecting the alternative hypothesis when it is actually true,
  2. Rejecting the null hypothesis when it is actually true.
  3. Rejecting the alternative hypothesis when it is actually false.
  4. Rejecting the null hypothesis when it is actually false.
  1. A sample of 200 teachers showed that 157 of them have a home mortgage. Use significance level .01 to test the claim that more than 75% of teachers have a home mortgage. State the conclusion for this test.
  1. There is sufficient evidence to support this claim
  2. There is not sufficient evidence to support this claim
  3. There is not sufficient evidence to warrant rejection of this claim.
  4. There is sufficient evidence to warrant rejection of this claim.
  1. A random sample of 18 new born babies showed a mean weight of 3.4 kg and standard deviation 0.3kg. Use significance level .10 to test the claim that the mean weight of new born babies is less than 3.5kg. State the conclusion of this hypothesis test.
  1. There is sufficient evidence to support this claim
  2. There is sufficient evidence to warrant rejection of this claim
  3. There is not sufficient evidence to warrant rejection of this claim
  4. There is not sufficient evidence to support this claim.

Solutions

Expert Solution


Related Solutions

What is the level of significance of a test? the probability σ of rejecting H1 when...
What is the level of significance of a test? the probability σ of rejecting H1 when it is true the probability α of failing to reject H0 when it is true    the probability α of rejecting H1 when it is true the probability α of rejecting H0 when it is true the probability α of failing to reject H1 when it is true What is the P-value? the probability that the observed test statistic will take on values less extreme...
n hypothesis testing we set alpha, the significance level, which limits the likelihood of making a...
n hypothesis testing we set alpha, the significance level, which limits the likelihood of making a Type 1 error if the null hypothesis were true. When does a type 2 error occur? Give a real world example of a decision and explain what the null hypothesis, alternative hypothesis, type 1 and type 2 errors would be – which would be worse in this case: making a type 1 error or making a type 2 error?
For a two-tailed hypothesis test at the significance level alpha, the null hypothesis H0: μ =...
For a two-tailed hypothesis test at the significance level alpha, the null hypothesis H0: μ = μ0 will be rejected in favor of the alternative hypothesis Ha: μ≠ μ0 if and only if μ0 lies outside the (1 - α) level confidence interval for μ. Illustrate the preceding relationship by obtaining the appropriate one-mean z-interval for the data below. Suppose the mean height of women age 20 years or older in a certain country is 62.8 inches. One hundred randomly...
Explain how the ideas of hypothesis testing and rejecting the null hypothesis can be related to...
Explain how the ideas of hypothesis testing and rejecting the null hypothesis can be related to confidence interval. Be sure to also consider the idea of one-sided confidence intervals.
The 5% (.05) significance level is the widely accepted criterion for Null Hypothesis Significance Testing. Discuss...
The 5% (.05) significance level is the widely accepted criterion for Null Hypothesis Significance Testing. Discuss some problems with using a strict cutoff to determine whether your findings were significant. Discuss how you can make sure that you are presenting your results more fairly/honestly. How can a confidence interval help with estimating the practical significance of your results?
Test the hypothesis with a significance level (alpha) of .05 that the climate has changed since...
Test the hypothesis with a significance level (alpha) of .05 that the climate has changed since industrialization. Suppose that the mean temperature throughout history is 52 degrees. During the last 30 years, the mean temperature has been 53 degrees and suppose the population standard deviation is 2 degrees. What can we conclude? Then construct a 95 percent confidence interval for the population mean.
Assume that a hypothesis test will be conducted using significance level α = .01 and alternative...
Assume that a hypothesis test will be conducted using significance level α = .01 and alternative hypothesis Ha: μ : ≠ 19.3. Furthermore, we will use the following sample data: n = 12, x-bar = 18.8, and s = 2.1.
Explain the influence of a level of significance and sample size has on hypothesis testing. Provide...
Explain the influence of a level of significance and sample size has on hypothesis testing. Provide an example of the influence and how it impacts business decisions.
Explain the influence of a level of significance and sample size has on hypothesis testing. Provide...
Explain the influence of a level of significance and sample size has on hypothesis testing. Provide an example of the influence and how it impacts business decisions.
Explain the influence a level of significance and sample size has on hypothesis testing. Provide an...
Explain the influence a level of significance and sample size has on hypothesis testing. Provide an example of the influence and explain how it impacts business decisions.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT