7.1
a statistical hypothesis that contains a statement of equality
What is null hypothesis Ho
If the null hypothesis is true, a _________ of a hypothesis test is the probability of obtaining a sample statistic with a value as extreme or more extreme than the one determined from the sample data
What is P-value
When p is less than alpha we make this decision
Reject the null hypothesis
We use a t-test for the mean when the ___________ standard deviation is unknown.
What is population
What is n - 1
It is a statement that must be true if Ho is false and it contains a statement of strict inequality
What is Alternative hypothesis Ha
If the alternative hypothesis Ha contains the less-than inequality symbol (<) then it is what type of test
What is left-tailed test
The range of values for which the null hypothesis is not probable. If a test statistic falls in the region, the null hypothesis is rejected.
What is rejection region
What is np and nq
A _______________test is a statistical test for a population variance or standard deviation
What is a chi-square
Occurs if the null hypothesis is rejected when it is true
What is Type 1 error
If the alternative hypothesis Ha contains the greater-than inequality symbol (>), then it is what type of test
What is right-tailed test
separates the rejection region from the nonrejection region
What is critical value Zo
A company claims that at least 82% of its employees are satisfied with their job. Write the correct hypotheses and determine which is the claim.
What is:
H0: p is greater than or equal to .82 (claim)
HA: p < .82
Find the critical chi-square value for the indicated test for a population variance, sample size n, and level of significance a. Right-tailed test, n=27, a=0.05
What is 38.885
Occurs if the null hypothesis is not rejected when it is false
What is Type 2 error
if the alternative hypothesis Ha contains the not-equal-to symbol, it is what type of test
What is two-tailed test
Find the critical z value for a right-tailed test when alpha = .05
What is 1.645
use a t-test to test the claim about the population mean u at the given level of significance a using the given sample statistic. For each claim, assume the population is normally distributed Claim: u=15; a=0.01 Sample mean= 13.9, s=3.23, n=6
State the p-value and the decision
What is p =.44 so Fail to reject Ho. At the 1% significance level, there is not enough evidence to reject the claim
Find the critical chi-square value for the indicated test for a population variance, sample size n, and level of significance a. Left-tailed test, n=25, a=0.10
What is 15.659
In a hypothesis test, the ____________ is your maximum allowable probability of making a type 1 error. It is denoted by a, the lowercase Greek letter alpha
What is Level of significance
The results of a recent study show that the proportion of people in the United States who use seat belts when riding in a car or truck is 81%. Write the correct hypotheses.
What is Ho:p=.81 (claim); Ha: p≠ 0.81
Find the P value for the indicated hypothesis test with the given standardized test statistics z. Decide whether to reject Ho for the given level of significance a. Two-tailed test, z= -1.56, a=0.05
What is p= 0.1188; Fail to reject Ho
Find the critical chi-square values for the indicated test for a population variance, sample size n, and level of significance a. Two-tailed test, n=9, a=0.05
What are 2.180 and 17.535