Null & Alternative Hypothesis

Which of the following is a correct null hypothesis?

•  $\mu=30$  

•  $\mu\ne30$  

•  $\mu>30$  

•  $\mu<30$  

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

Which of the following statements is a correct alternative hypothesis?

•  $\mu=30$  

•  $\mu\ne30$  

•  $\mu>30$  

•  $\mu<30$  

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.4

Is the population standard deviation known?

• Yes

• No

• cannot be determined

Tags

CCSS.HSS.IC.B.4

What is the applicable statistical test?

• z test

• H test

• t test

• U test

Tags

CCSS.HSS.ID.A.4

Which of the following is incorrect about formulating hypothesis?

• There should always be an equal sign in the null hypothesis

• The null hypothesis usually corresponds to the assumption that no change occurs.

• The choice of the alternative hypothesis depends on the purpose of the test.

• The alternative hypothesis usually corresponds to the assumption that no change occurs.

It is the area in the normal curve that leads to rejection of null hypothesis?

• Acceptance region

• Degrees of freedom

• Rejection region

• Type II Error

Tags

CCSS.HSS.ID.A.4

Which of the following is the appropriate rejection region for the following given? hypothesis test on population mean; 𝛼 = 0.01; two-tailed test; 𝑛 =25; 𝜎=2 .

•  $z<-2.575\ or\ z\ >2.575$  

•  $z<2.575\ or\ z>-2.575$  

•  $z<-1.96\ or\ z>1.96$  
  

•  $z<1.96\ or\ z>-1.96$  

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.ID.A.4

Which of the following is the appropriate rejection region for the following given? hypothesis test on population mean; 𝛼 = 0.05; one-tailed test (right); 𝑛=73; 𝑠=8.2

•  $z>1.645$  
  

•  $z<-1.645$  
  

•  $z>2.33$  
  

•  $z<-2.33$  
  

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.ID.A.4

What type of test is applicable to the problem?

• cannot be determined

• one-tailed test

• No tailed test  
  

• two-tailed 
  

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.3

CCSS.HSS.IC.B.4

Which of the following rejection region is applicable to the problem?

•  $z>-1.645$  
  

•  $z<-1.645$  

•  $z>1.645$  
  

•  $z<1.645$  
  

Tags

CCSS.HSS.ID.A.4