Hypothesis Testing for a Proportion

7.4 Hypothesis Testing with Proportions

Multiple Choice

Which of these would be a scenario for which we'd use proportions?

• On average, how many students at each Broward high school prefer online school?

• In current conditions, do high school students in Broward County prefer online school or in-person school?

Multiple Choice

How would you write the claim "the majority of Broward high school students prefer to do school online" as a mathematical statement?

(p represents the proportion of students who prefer online school)

• $$p\ >\ 0.5$$
  

• $$p\ =\ 0.5$$
  

• $$p<0.5$$
  

• $$p\le0.5$$

Multiple Choice

Is p >0.5 our null or alternate hypothesis?

• Null

• Alternate

Multiple Choice

What is the pair of hypotheses we'll use for this scenario?

• $$Ho:\ p\ =0.5$$
  $$Ha:\ p\ne0.5$$
  

• $$Ho:\ p\ \ge0.5$$
  $$Ha:\ p\ >\ 0.5$$
  

• $$Ho$$ : $$p\le0.5$$
  $$Ha$$ : $$p>0.5$$

z-score work

 $z=\ \frac{p\left(hat\right)-p}{\sqrt{\frac{pq}{n}}}=\frac{.66-.5}{\sqrt{\frac{\left(.5\right)\left(.5\right)}{50}}}$   $=2.26$  

Multiple Choice

What is the tail of the test?

• Left-tailed

• Right-tailed

• Two-tailed

Multiple Choice

Which calculator test sounds like the one that would apply to this scenario?

• Z-Test

• T-Test

• 2-SampZTest

• 1- PropZTest

Multiple Choice

What is the decision about our null hypothesis?

• Reject the null

• Fail to reject the null

Multiple Choice

Since we rejected our null hypothesis, and our claim is in the alternate, what is the conclusion we make about the claim?

• We have enough evidence to reject the claim that Broward Schools students prefer online school

• We do not have enough evidence to reject the claim that Broward Schools students prefer online school

• We do not have enough evidence to support the claim that Broward Schools students prefer online school

• We have enough evidence to support the claim that Broward Schools students prefer online school

Open Ended

If you were going to the Broward Schoolboard meeting, what would you tell them?