1 The test statistic for a hypothesis test concerning the va

1. The test statistic for a hypothesis test concerning the value of a population mean when the population standard deviation is not known and the sample has more than 30 observations follows which distribution?

a. t

b. z

c.F

d. Chi square

2. The test statistic for a hypothesis test concerning a population proportion follows which distribution?

a. t

b. z

c. F

d. Chi square

3. The p-value is
a. 1 minus the power of a test.

b. the exact or observed level of significance.

c. the probability of a Type II error.

d. the same as the critical value.

Solution

1)

when you dont know the standard deviation of population and the sample is greater than 30 we always use t distribution so the answer for this question is

a. t distribution

2)
the test statstic for a hypothesis test concerning a population proprotion always follows Z distribution

because we always assume that follow a normal distribution

3)

the p-value is a function of the observed sample results (a statistic) that is used for testing a statistical hypothesis.

If the p-value is equal to or smaller than the significance level (), it suggests that the observed data are inconsistent with the assumption that the null hypothesis is true and thus that hypothesis must be rejected

so our conclusion is

the p value is the exact or observed level of significance