Free Printable Unit 7

1.

Suppose the present success rate in treating a certain type of lung cancer is .75. A research group hopes to demonstrate that the success rate of a new treatment of this cancer is better. Identify the null & alternative hypothesis.

a)

$H_o:\ p=.75\ \ \ \ \ \ H_a:\ p\ >.75$

b)

$H_o:\ p\ >.75\ \ \ \ \ \ H_a:\ p\ =\ .75$

c)

$H_o:\ p\ =.75\ \ \ \ H_a:\ p\ <.75$

d)

$H_o:\ p\ \ne.75\ \ \ \ H_a:\ p\ =\ .75$

2.

Sacramento County high school seniors have an average SAT score of 1020. From a random sample of 144 Sacramento High School students we find the average SAT score to be 1100 with a standard deviation of 144. Calculate the test statistic.

a)

-6.67

b)

0.00

c)

6.67

d)

Can't be found.

3.

a)

1) Type II Error 2) Type I Error

b)

1) Type I Error 2) Type II Error

4.

Considering that a result is statistically significant if the p-value is .05 or less, what decision would be made concerning the null and alternative hypothesis with a p-value of .30?

a)

Reject the Ho

b)

Fail to reject the Ho

5.

Considering that a result is statistically significant if the p-value is .05 or less, what decision would be made concerning the null and alternative hypothesis with a p-value of .04?

a)

Reject the Ho

b)

Fail to reject the Ho

6.

Two researchers are testing the hypothesis $H_o:\ p=.35\ \ \ \ H_a:\ p\ >.35$

The first researcher finds a sample proportion of .39 and the second researcher finds a sample proportion of .43. With a sample size of 30, which researcher has the smaller the P-VALUE?

a)

Researcher 1: p = .4593

b)

Researcher 1: p = .3228

c)

Researcher 2: p = .9186

d)

Researcher 2: p = .1788

7.

True or False: The p-value is the probability that the null hypothesis is true.

a)

True

b)

False

8.

Ture or False: If the null hypothesis is true, then the level of significance is the probability of making a type II error.

a)

True

b)

False

9.

What formula is used to find Confidence Intervals?

a)

$\rho\pm Z\cdot\sqrt{\frac{\rho\left(1-\rho\right)}{n}}$

b)

$\frac{\rho-p_o}{\sqrt{\frac{p_o\left(1-p_o\right)}{n}}}$

c)

$\frac{x\ -\ \overline{x}}{\sigma}$

10.

What is the critical value for 90% Confidence Interval?

a)

1.282

b)

1.645

c)

1.96

d)

2.326

11.

True or False: In a hypothesis test, the alternative hypothesis is always a statement of equality.

a)

True

b)

False

12.

Which sign below can the alternative hypothesis NOT use?

a)

<

b)

>

c)

=

d)

$\ne$

13.

True or False - When we fail to reject the null hypothesis, we are saying that the difference between the observed sample mean and the hypothesized population mean is probable if the null hypothesis is true.

a)

False

b)

True

14.

A banker claims that 30% of the loans given by his bank are student loans. A random sample of 64 loans is drawn. It is found that 43 of these are student loans. At the 5% level of significance, test the banker's assertion.

a)

Reject the null

b)

Fail to reject the null

15.

About 10% of the population is left-handed. A researcher believes that journalists are more likely to be left-handed than other people in the general population. The researcher surveys 200 journalists and finds that 25 of them are left-handed. Conduct an hypothesis test to see if the claim is acceptable.

a)

Reject the null

b)

Fail to reject the null

16.

What is needed to give us strong evidence against the null hypothesis?

a)

Small level of significance

b)

Large level of significance

c)

Low test statistic

d)

A small p - value

17.

A test is made where Ho: p = 25 vs Ha: p > 25. After testing the value with a significance level of .05, they concluded to fail to reject the Ho. However, the true value was 28. Was the conclusion correct, Type I Error, or Type II Error?

a)

Correct Decision

b)

Type I Error

c)

Type II Error

18.

What is the second step of a hypothesis test?

a)

State the null and alternative hypothesis

b)

Test the statistic

c)

State your conclusion

d)

Decide the level of significance

19.

To reject the null hypothesis, the p - value has be ________to the significance level.

a)

>

b)

<

c)

=

20.

Which is the correct Null and Alternative Hypothesis?

a)

Ho: p = .30

Ha: p > .31

b)

Ho: p > .45

Ha: p < .45

c)

Ho: p = 12

Ha: p > 12

d)

Ho: p < 10

Ha: p > 10

Unit 7 - Review Game

Total questions: 20

Worksheet time: 14mins

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