QMB 3250 EXAM 1 QUESTIONS WITH ACCURATE
SOLUTIONS
For the hypothesis Ho: μ1-μ2=0 versus Ha: μ1-μ2≠0, the p-value equals 0.021. Let α =
0.05. What decision would be made here? If an error is made here, what type of error
would it be? -- Answer ✔✔ Reject Ho
Rule: p-value ≤ α Reject Ho The p-value = 0.021 < α = 0.05
Type I error since we rejected Ho, the only type of error that we could make if we
made an error would be Type I error. The definition of a type 1 error is the error that
occurs when we reject Ho when Ho is true.
type 1 error -- Answer ✔✔ is the error that occurs when we reject Ho when Ho is
true
For a significance test for the population proportion with significance level equal to 0.10
and p-value equal to 0.06, what would be the correct decision? -- Answer ✔✔ Reject
Ho
Rule: p-value ≤ α Reject Ho - Since the p-value is less than alpha, we would reject Ho. If
the p-value was larger than alpha, we would have failed to reject Ho.
true or false: The p-value is the probability that the null hypothesis is true. -- Answer
✔✔ false
, The definition of the p-value is -- Answer ✔✔ the probability that we see a test statistic
this extreme or more if the null hypothesis is true.
Which of the following is not correct? The standard deviation of a statistic describes --
Answer ✔✔ The standard deviation of the sample data measurements
The standard deviation of a statistics refers to -- Answer ✔✔ how much the statistics
changes.
is "The probability that p is between 0.3961 and 0.4823 is 0.95." a correct
interpretation? -- Answer ✔✔ no, you can't state specific values of the confidence
interval and use specific values in the confidence interval. You can only speak of
probability in the general sense. For example, "The probability that the true proportion
is in a 95% confidence interval is 0.95" is correct.
is "We are 95% confident that the true proportion of Caucasian Millennials who agree
that college is necessary to be successful in today's work world is between 0.3961 and
0.4823." a correct interpretation? -- Answer ✔✔ yes
For the sampling distribution of the sample mean, what happens to the standard
deviation as the sample size increases? -- Answer ✔✔ It decreases
Why might you use Spearman's rho? -- Answer ✔✔ Because the data is not linearly
related, but you want to discuss the association. Spearman's rho does not require that
the x and y variables have a linear relationship.
SOLUTIONS
For the hypothesis Ho: μ1-μ2=0 versus Ha: μ1-μ2≠0, the p-value equals 0.021. Let α =
0.05. What decision would be made here? If an error is made here, what type of error
would it be? -- Answer ✔✔ Reject Ho
Rule: p-value ≤ α Reject Ho The p-value = 0.021 < α = 0.05
Type I error since we rejected Ho, the only type of error that we could make if we
made an error would be Type I error. The definition of a type 1 error is the error that
occurs when we reject Ho when Ho is true.
type 1 error -- Answer ✔✔ is the error that occurs when we reject Ho when Ho is
true
For a significance test for the population proportion with significance level equal to 0.10
and p-value equal to 0.06, what would be the correct decision? -- Answer ✔✔ Reject
Ho
Rule: p-value ≤ α Reject Ho - Since the p-value is less than alpha, we would reject Ho. If
the p-value was larger than alpha, we would have failed to reject Ho.
true or false: The p-value is the probability that the null hypothesis is true. -- Answer
✔✔ false
, The definition of the p-value is -- Answer ✔✔ the probability that we see a test statistic
this extreme or more if the null hypothesis is true.
Which of the following is not correct? The standard deviation of a statistic describes --
Answer ✔✔ The standard deviation of the sample data measurements
The standard deviation of a statistics refers to -- Answer ✔✔ how much the statistics
changes.
is "The probability that p is between 0.3961 and 0.4823 is 0.95." a correct
interpretation? -- Answer ✔✔ no, you can't state specific values of the confidence
interval and use specific values in the confidence interval. You can only speak of
probability in the general sense. For example, "The probability that the true proportion
is in a 95% confidence interval is 0.95" is correct.
is "We are 95% confident that the true proportion of Caucasian Millennials who agree
that college is necessary to be successful in today's work world is between 0.3961 and
0.4823." a correct interpretation? -- Answer ✔✔ yes
For the sampling distribution of the sample mean, what happens to the standard
deviation as the sample size increases? -- Answer ✔✔ It decreases
Why might you use Spearman's rho? -- Answer ✔✔ Because the data is not linearly
related, but you want to discuss the association. Spearman's rho does not require that
the x and y variables have a linear relationship.
