Quant2 Module 3
A Type I error is committed when _____. sample data contradict the null hypothesis a true alternative hypothesis is not accepted a true null hypothesis is rejected the critical value is greater than the value of the test statistic
a true null hypothesis is rejected
Which of the following hypotheses is not a valid null hypothesis? H0: μ = 0 H0: μ < />0 H0: μ ≤ 0 H0: μ ≥ 0
H0: μ < />0
A soft drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of soft drink. Any overfilling or underfilling results in the shutdown and readjustment of the machine. To determine whether or not the machine is properly adjusted, the correct set of hypotheses is _____. H0: μ ≤ 12 Ha: μ > 12 H0: μ = 12 Ha: μ ≠ 12 H0: μ < 12="" />Ha: μ ≤ 12 H0: μ ≠ 12 Ha: μ = 12
H0: μ = 12 Ha: μ ≠ 12
A meteorologist stated that the average temperature during July in Chattanooga was 80 degrees. A sample of July temperatures over a 32-year period was taken. The correct set of hypotheses is _____. H0: μ ≤ 80 Ha: μ > 80 H0: μ 80 Ha: μ ≤ 80 H0: μ = 80 Ha: μ ≠ 80 H0: μ ≠ 80 Ha: μ = 80
H0: μ = 80 Ha: μ ≠ 80
Your investment executive claims that the average yearly rate of return on the stocks she recommends is at least 10.0%. You plan on taking a sample to test her claim. The correct set of hypotheses is _____. H0: μ > 10.0% Ha: μ ≤ 10.0% H0: μ ≤ 10.0% Ha: μ > 10.0% H0: μ ≥ 10.0% Ha: μ 10.0% H0: μ 10.0% Ha: μ ≥ 10.0%
H0: μ ≥ 10.0% Ha: μ 10.0%
A newspaper wants to estimate the proportion of Americans who will vote for Candidate A. A random sample of 1000 voters is selected. Of the 1000 respondents, 526 say that they will vote for Candidate A. Which Excel function would be used to construct a confidence interval estimate? T.INV NORM.S.INV INT NORM.INV
NORM.S.INV
If a hypothesis test leads to the rejection of the null hypothesis, a _____. Type II error must have been committed Type I error may have been committed Type I error must have been committed Type II error may have been committed
Type I error may have been committed
The error of rejecting a true null hypothesis is _____. a Type II error either a Type I or Type II error, depending on the situation committed when not enough information is available a Type I error
a Type I error
A Type II error is committed when _____. the sample size has been too small a true alternative hypothesis is mistakenly rejected not enough information has been available a true null hypothesis is mistakenly rejected
a true alternative hypothesis is mistakenly rejected
As a general guideline, the research hypothesis should be stated as the _____. null hypothesis hypothesis the researcher wants to disprove tentative assumption alternative hypothesis
alternative hypothesis
If the cost of a Type I error is high, a smaller value should be chosen for the _____. confidence coefficient test statistic level of significance critical value
level of significance
The level of significance is the _____. maximum allowable probability of a Type II error same as the p-value same as the confidence coefficient maximum allowable probability of a Type I error
maximum allowable probability of a Type I error
For which of the following values of p is the value of P(1 − p) maximized? p = 1.0 p = .50 p = .99 p = .90
p = .50
The general form of an interval estimate of a population mean or population proportion is the _____ plus or minus the _____. population mean, standard error point estimate, margin of error planning value, confidence coefficient level of significance, degrees of freedom
point estimate, margin of error
The degrees of freedom associated with a t distribution are a function of the _____. area in the upper tail sample standard deviation confidence coefficient sample size
sample size
In hypothesis testing if the null hypothesis is rejected, _____. the data must have been collected incorrectly no conclusions can be drawn from the test the evidence supports the alternative hypothesis the alternative hypothesis must also be rejected
the evidence supports the alternative hypothesis
In hypothesis testing, the alternative hypothesis is _____. the hypothesis tentatively assumed true in the hypothesis-testing procedure All of the answers are correct. the maximum probability of a Type I error the hypothesis concluded to be true if the null hypothesis is rejected
the hypothesis concluded to be true if the null hypothesis is rejected
In determining the sample size necessary to estimate a population proportion, which of the following is NOT needed? the mean of the population the maximum margin of error that can be tolerated a preliminary estimate of the true population proportion p the confidence level required
the mean of the population
We can reduce the margin of error in an interval estimate of p by doing any of the following EXCEPT _____. reducing the confidence coefficient increasing the level of significance using a planning value p* closer to .5 increasing the sample size
using a planning value p* closer to .5
