Statistics 2340
The following is an appropriate statement of the null and alternate hypotheses for a test of a population mean: H0: μ < 50 HA : μ > 50
True / False (F)
In conducting a hypothesis test where the conclusion is to reject the null hypothesis, then either a correct decision has been made or else a Type I error.
True / False (T)
In hypothesis testing, the null hypothesis should contain the equality sign.
True / False (T)
The null and alternate hypotheses must be opposites of each other.
True / False (T)
To calculate beta requires making a "what if" assumption about the true population parameter, where the "what-if" value is one that would cause the null hypothesis to be false.
True / False (T)
When someone is on trial for suspicion of committing a crime, the hypotheses are: H0 : innocent HA : guilty Which of the following is correct?
Type I error is convicting an innocent person.
In a two-tailed hypothesis test the area in each tail of the rejection region is equal to α.
True / False (F)
The power of a test is measured by its capability of:
rejecting a null hypothesis that is false.
Choosing an alpha of 0.01 will cause beta to equal 0.99.
True / False (F)
If a hypothesis test is conducted for a population mean, a null and alternative hypothesis of the form: H0 : μ = 100 HA : μ ≠ 100 will result in a one-tailed hypothesis test since the sample result can fall in only one tail.
True / False (F)
A hypothesis test is to be conducted using an alpha = .05 level. This means:
there is a maximum 5 percent chance that a true null hypothesis will be rejected.
The Adams Shoe Company believes that the mean size for men's shoes is now more than 10 inches. To test this, it has selected a random sample of n = 100 men. Assuming that the test is to be conducted using a .05 level of significance, a p-value of .07 would lead the company to conclude that its belief is correct.
True / False (F)
When the decision maker has control over the null and alternative hypotheses, the alternative hypotheses should be the "research" hypothesis.
True / False (T)
A local medical center has advertised that the mean wait for services will be less than 15 minutes. Given this claim, the hypothesis test for the population mean should be a one-tailed test with the rejection region in the lower (left-hand) tail of the sampling distribution.
True/ False (T)
If the p value is less than α in a two-tailed test,
the null hypothesis should be rejected.
Which of the following statements is true?
The decision maker controls the probability of making a Type I statistical error.
Hypothesis testing and confidence interval estimation are essentially two totally different statistical procedures and share little in common with each other.
True / False (F)
