Free Printable Tests of Hypotheses (Single Parameters)

1.

What is a suitable test statistics if you want to test a population mean when $\sigma=2$ and $n=25$ ?

a)

$z_{test}$

b)

$t_{test}$

c)

$\chi_{test}^2$

d)

$f_{test}$

2.

What is a suitable test statistic when you want to test a population standard deviation?

a)

$\chi\ _{test}$

b)

$\chi_{test}^2$

c)

$t_{test}$

d)

$z_{test}$

3.

What is a suitable test statistic when you want to test a population proportion when sample size is large?

a)

$z_{test}$

b)

$t_{test}$

c)

$\chi_{test}^2\$

d)

$f_{test}$

4.

Which of the following hypothesis statements are correct when you want to test if a population mean is at most 15?

a)

$H_0:\ \mu=15;\ \ \ \ \ H_{1_{ }}:\ \mu<15$

b)

$H_0:\ \mu=15\ ;\ \ \ \ H_{1_{ }}:\ \mu>15$

c)

$H_0:\ \overline{x}=15\ ;\ \ \ H_{1_{ }}:\ \overline{x}<15$

d)

$H_0:\ \overline{x}=15\ ;\ \ \ H_{1_{ }}:\ \overline{x}>15$

5.

Suppose you have $H_0:\ \sigma=0.5\ \ and\ \ H_{1_{ }}:\ \sigma<0.5$ where the sample size is 10 and $\alpha=0.05.$ Which of the following decision rules is CORRECT?

a)

Reject $H_0$ if $\chi_{test}^2<-\chi_{0.05,\ 9}^2$

b)

Reject $H_0$ if $\chi_{test}^2<\chi_{0.025,\ 9}^2$

c)

Reject $H_0$ if $\chi_{test}^2<\chi_{0.95,\ 9}^2$

d)

Reject $H_0$ if $\chi_{test}^{ }<\chi_{0.95,9}$

6.

Which of these statements are CORRECT about

\alpha

?

a)

Level of significance.

b)

Level of confidence.

c)

Probability of Type I error

d)

Type I error

7.

How many critical values you should compare with a test statistic in a 2-sided alternative hypothesis test?

a)

1

b)

2

c)

3

8.

Suppose $s=2.5$ and $n=10$ , which of these rejection rules is CORRECT for testing $H_0:\ \mu\ =\ 52$ against $H_1:\ \mu\ <\ 52$ at $\alpha=0.05.$

a)

Reject $H_0$ if $t_{test}<-t_{0.025,\ 9}$

b)

Reject $H_0$ if $t_{test\ }<-t_{0.05,9}$

c)

Reject $H_0$ if $z_{test}<-z_{0.05}$

d)

Reject $H_0$ if $t_{test}>t_{0.05,9}$

9.

If you reject $H_0$ at $\alpha=0.05,$ you will certainly reject $H_0$ when $\alpha$ decreases to $0.03.$

a)

TRUE

b)

FALSE

10.

If you reject $H_0$ at $\alpha=0.025,$ you will certainly reject $H_0$ when $\alpha$ increases to 5%.

a)

TRUE

b)

FALSE

Tests of Hypotheses (Single Parameters)

Total questions: 10

Worksheet time: 5mins

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