7.1 7.2 Hypothesis Testing

The mean age of bus drivers in Chicago is 48.6 years. Write the null hypothesis.

• $\mu=48.6\$

• $\mu\ne48.6$

• $\mu\ge48.6$

• $\mu\le48.6$

The mean score for all NBA games during a particular season was less than 106 points per game. Identify the null hypothesis

• $\mu<106$

• $\mu\le106$

• $\mu>106$

• $\mu\ge106$

Given  $H_0:\ p\ge80\%$  and  $H_a:\ p<80\%,$  determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.

• Left-Tailed

• Right-Tailed

• Two-Tailed

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CCSS.HSS.IC.B.3

A researcher claims that 71% of voters favor gun control. Determine whether the hypotheis test for this claim is left-tailed, right-tailed, or two-tailed.

• left-tailed

• right-tailed

• two-tailed

The P-Value for a hypothesis test is P = 0.034. Do you reject or fail to reject  $H_0$  when the significance level is  $\alpha=0.01$  

• reject  $H_0$  

• fail to reject  $H_0$  

• not sufficient information to decide

The P-Value for a hypothesis test is P = 0.006. Do you reject or fail to reject  $H_0$  when the level of significance is  $\alpha=0.01?$  

• reject  $H_0$  

• fail to reject  $H_0$  

• not sufficient information to decide

Find the P-Value for a left-tailed test when z = -1.83.

• 0.0336

• 0.9664

• 0.0672

• none of the above

Find the P-Value for a two-tailed test when z = 1.63

• 0.0516

• 0.9484

• 0.1032

• none of the above

In order to conduct a hypothesis test for the mean, what assumptions MUST be true? (Select all that apply)

• the sample must be random

• $\alpha$ must be .05

• $n\ge30$ or population is normally distributed

• the test statistic (z value) must be positive

What are the possible decisions based upon the outcome of the hypothesis test? (select all that apply)

• Reject  $H_0$  

• Accept  $H_0$  

• Reject  $H_a$  

• Fail to reject $H_0$