Question

The Ablex political party claims that more than 50% of Bloornians prefer their party to the Xyblex party. Perform a hypothesis test to the test the claim with alfa= 0.05 using a sample of 35 Bloornians a) Write the claim symbolically for this scenario b) Write the Hypothesis for this scenario Ho and HA c) Give the value of the Test Statistic, including whether it is a a t- or z- statistic. If applicable, also give d.f d) Indicate which method you are using: Critical value or P-Value. Give the values obtained or the P-value e) What is your conclusion. Reject Ho, accept Ho, Fail to Reject Ho or Fail to accept Ho f) If 55% of the population actually prefer the Ablex party, which (if any) error has been made. No error, type I error, Type II error or Critical Error Sample is 35 Bloornians (or persons) and 20 of them preferred the Ablex political party.

Answer 1

Let p denotes the true proportion of Bloornians prefer their party to the Xyblex party.

f)  If 55% of the population actually prefer the Ablex party, then we have made a Type II error (Fail to reject H₀ when H₀ is actually false)