Population Proportion

A school claims that 70% of its students pass the math proficiency test. A researcher tests the null hypothesis H₀:p=0.70 against the alternative. If the test statistic is z=−1.8 and the critical value for a one-tailed test at α=0.05 is −1.645, what should the researcher conclude?

• Fail to reject H₀​
  

• ​
  B) Reject H₀
  

• 
  C) Accept H₀​
  

• ​
  D) More data is needed

If the computed test statistic falls under the rejection region, what is the appropriate decision of the hypothesis?

• Fail to reject

• Reject null hypothesis

• Insufficient evidence

• Type II error

If the null hypothesis uses > symbol, then it is a right-tailed test and the critical value is positive.

• true

• false

A researcher wants to determine if the proportion of voters who support a new policy is different from 50%. The null hypothesis is H₀: p=0.5. If the test statistic calculated is z=2.5, what should the researcher conclude at a significance level of α=0.05?

• There is insufficient evidence at α=0.05 to reject the claim that voters who supported a new

      policy is different from 50%.

• There is sufficient evidence at α=0.05 to support the claim that voters who supported a new

               policy is different from 50%.
  
  

• Accept H0

• Not enough information

If the level of significance is 0.05, then it is right tailed test. Find the critical value.

• 1.645

• -1.645

• 2.576

• -2.576

The rejection region can be located on the following except.

• On top of the normal curve

              

•           On both sides with the nonrejection region in the middle

              

•               On the left side of the nonrejection region

               

•          On the right side of the nonrejection