Unit 8 Test Review

Given a p-value of 0.0512 and

$\alpha$

= 0.05, the conclusion should be: 

• Reject  $H_o$  

• Do not reject  $H_o$  

• Reject  $H_a$  

• Do not reject  $H_a$  

If no significance level is provided, the default value of $\alpha$ should be:

• 0.01

• 0.03

• 0.05

• 0.07

The symbol for the population proportion is:

• $\overline{x}$

• $\mu$

• $p$

• $p-hat$

The symbol for the population mean is:

• $\overline{x}$

• $\mu$

• $p$

• $p-hat$

When writing the null and the alternative hypotheses, always us the symbols for:

• Sample parameters

• Population parameters

• Sample statistics

• Sometimes sample and other population

A manufacturer has a set limit that the proportion of defective items is not to be over 18%. The buyer thinks the proportions of defective items exceeds the limit. The buyer take a random sample of 90 items and finds that 19 of them are defective. State the null and the alternative hypotheses for this test.

• $H_o:\ p=0.18,\ H_a:\ p\ <0.18$

• $H_o:\ p=0.18,\ H_a:\ p\ >0.18$

• $H_o:\ p=0.18,\ H_a:\ p\ \ne0.18$

• $H_o:\ p=0.18,\ H_a:\ p\ =0.21$

A manufacturer has a set limit that the proportion of defective items is not to be over 18%. The buyer thinks the proportions of defective items exceeds the limit. The buyer take a random sample of 90 items and finds that 19 of them are defective.   The z-score is closest to:

• 0.25

• 0.75

• -0.25

• -0.75

What sample size is needed in order for conditions to be met for a significance test with means?

• 10

• 25

• 30

• 50

In hypothesis testing, a type I error occurs when:

• The null hypothesis is not rejected when the null hypothesis is true.

• The null hypothesis is rejected when the null hypothesis is true.

• The null hypothesis is not rejected when the alternative hypothesis is true.

• The null hypothesis is rejected when the alternative hypothesis is true.

In hypothesis testing, a type II error occurs when:

• The null hypothesis is not rejected when the null hypothesis is true.

• The null hypothesis is rejected when the null hypothesis is true.

• The null hypothesis is not rejected when the alternative hypothesis is true.

• The null hypothesis is rejected when the alternative hypothesis is true.