BUS STAT MID 3

In hypothesis testing, the null hypothesis should contain the equality sign.

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

When the decision maker has control over the null and alternative hypotheses, the alternative hypotheses should be the "research" hypothesis.

When someone is on trial for suspicion of committing a crime, the hypotheses are:
H0 : innocent
HA : guilty
Which of the following is correct?

In a two-tailed hypothesis test the area in each tail of the rejection region is equal to α.

A hypothesis test is to be conducted using an alpha = .05 level. This means:

The sample mean will probably be different than the population mean

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.

The null and alternate hypotheses must be opposites of each other.

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.

The sample mean will always equal the population mean

If the p value is less than α in a two-tailed test,

The sample mean will always be a better representation of the population mean if we have a bigger sample size

The power of a test is measured by its capability of:

Choosing an alpha of 0.01 will cause beta to equal 0.99.

The sample mean is more likely to be a good estimation of the population mean with a bigger sample size.

Hypothesis testing and confidence interval estimation are essentially two totally different statistical procedures and share little in common with each other.

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.

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.

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.

Which of the following statements is true?

The sample mean will probably be greater than the population mean

As long as we use correct sampling procedures, the sample mean will always equal the population mean.