Chapter 9
n = 36 H0: μ ≤ 20 Xbar = 24.6 Ha: μ > 20 σ = 12 Refer to Exhibit 9-1. The p-value is
0.0107
A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 75%. Refer to Exhibit 9-6. The p-value is
0.025
In hypothesis testing if the null hypothesis is rejected,
None of the other answers are correct
The p-value approach to hypothesis testing and the critical value approach
will always lead to the same rejection decision
For a two-tailed hypothesis test with a test statistic value of z = 2.05, the p-value i
.0404
A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 75%. Refer to Exhibit 9-6. The test statistic is
1.25
Read the t statistic from the table of t distributions and circle the correct answer. A one-tailed test (upper tail), a sample size of 18 at a .05 level of significance t =
1.740
n = 36 H0: μ ≤ 20 Xbar = 24.6 Ha: μ > 20 σ = 12 Refer to Exhibit 9-1. The test statistic equals
2.3
If a hypothesis test leads to the rejection of the null hypothesis, a
Type I error may have been committed
In hypothesis testing, the critical value is
a number that establishes the boundary of the rejection region
The probability of making a Type I error is denoted by
a- alpha
If a hypothesis is not rejected at a 5% level of significance, it will
also not be rejected at the 1% level
n = 36 H0: μ ≤ 20 Xbar = 24.6 Ha: μ > 20 σ = 12 Refer to Exhibit 9-1. If the test is done at a .05 level of significance, the null hypothesis should
be rejected
An example of statistical inference is
hypothesis testing
When the rejection region is in the lower tail of the sampling distribution, the p-value is the area under the curve
less than or equal to the test statistic
The level of significance is the
maximum allowable probability of Type I error
When the p-value is used for hypothesis testing, the null hypothesis is rejected if
p-value ≤ α
The level of significance in hypothesis testing is the probability of
rejecting a true null hypothesis
A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 75%. Refer to Exhibit 9-6. At a .05 level of significance, it can be concluded that the proportion of the population in favor of candidate A is
significantly greater than 75%
A Type I error is committed when
ture null hypothesis is rejected