Chapter 10

Question 1

Null Hypothesis for Proportions

Answer 1

H0: p1−p2=0

Question 2

Alternative Hypothesis for Proportions.

Answer 2

1) Ha: p1−p2<0 (or p1 < p2)
2) Ha: p1−p2>0 (or p1 > p2)
3) Ha: p1−p2≠0 (or p1 ≠ p2

Question 3

Conditions for Proportion Test

Answer 3

a) Randomization.

b) sample size. There are at least 5 successes and failures in each group.

Question 4

Test Statistic for Proportions

Answer 4

z- (p1)-p2)-/se

Question 5

Standard Error for Comparing Two Population Proportions

Answer 5

Sqrt(p(1-p)(1/n1+1/n2))

Question 6

Conclusions for Comparing Two Population Proportions

Answer 6

1) If P-value is less than a, reject H0. There is sufficient evidence, at a, that Ha is true
2) If the p-value is greater than a, fail to reject H naught. There is insufficient evidence, at a, that ha, is true.

Question 7

What are the two tests for comparing two means?

Answer 7

1) Two sample t-test.

2) Paired t-test

Question 8

Two-sample t-test

Answer 8

Used to test whether the average of two groups are the same for a quantitative variable.

Question 9

Paired t-test

Answer 9

Used to investigate matched-pairs designs and is in fact a specialized version of a normal t-test

Question 10

Null Hypothesis for Two Population Means

Answer 10

H0: μ1−μ2=0 (or μ1=μ2)

Question 11

Alternative Hypothesis for Population Means

Answer 11

1) Ha: μ1−μ2<0 (or μ10 (orμ1>μ2)

3) Ha: μ1−μ2≠0 (or μ1≠μ2)

Question 12

Conditions for Model (Means)

Answer 12

a) Randomization.
b) Sample size. Population distributions are nearly normal and n1 and n2 are greater than 30.
3) To use a two-sample test, the two groups we are comparing must be independent of each other.

Question 13

Conclusion for Comparing Two Population Means

Answer 13

1) If P-value is less than alpha, reject H0. There is sufficient evidence, at alpha that Ha is true.
2) If P-value is greater than alpha, fail to reject h-naught. There is insufficient evidence, at alpha, that Ha is true.

Question 14

Null Hypothesis for Paired t-test

Answer 14

H0: μd=0

Question 15

Alternative Hypothesis for Paired t-test

Answer 15

1) Ha: μd<0
2) Ha: μd>0
3) Ha: μd≠0

Question 16

Conditions for Paired t-test

Answer 16

a) Randomization
b) Sample size is nearly normal and n is greater than or equal to 30.
c) The two groups must be dependent on one another.

Question 17

Test Statistic for Paired t-test

Answer 17

t = xd−0/ SE(xd)

Question 18

Concussion for Paired t-tests

Answer 18

1) If P-value is less than alpha, reject null hypothesis. There is sufficient evidence at alpha that the alternative hypothesis is tur.
2) If the p-value is greater than alpha, fail to reject the null hypothesis. There is insufficient evidence at alpha that the alternative hypothesis is true.

Question 19

Confidence Interval=

Answer 19

Point estimate plus or minus Critical Value * SE

Question 20

What is the difference in calculating confidence intervals for comparing two groups?

Answer 20

Whereas we previously used ^por x as our point estimate for one-sample applications, our point estimates for these contexts will be ^p1−^p2 (for two-sample proportions), x1−x2 (for independent means), or xd (for paired applications.

Question 21

Critical value is ___ for proportions or ____ for means

Answer 21

z, t

Question 22

Matching confidence level to significance level α=

Answer 22

α=(100−c)100∨c=(1−α)∗100%

Question 23

If the hypothesized value falls ____ the confidence interval, we would not reject the null hypothesis at the corresponding significance level.

Answer 23

Within

Question 24

If the hypothesized value falls ____ the confidence interval, we would reject the null hypothesis at the significance level.

Answer 24

Outside.