turn into specific “Null: Ho” and “Alternative: Ha” hypotheses. I also asked you
ID: 3356800 • Letter: T
Question
turn into specific “Null: Ho” and “Alternative: Ha” hypotheses. I also asked you to write the null and alternative hypothesis using the correct “formula”, noting whether it was directional or non-directional depending on whether the question calls for an increase/decrease or simply a change! Finally, I asked you to tell me under what circumstances you, as a researcher, would be committing a Type I and Type II Error.
People register to vote, but they don't always vote. A 1994 study asked registered voters in the U.S. whether they had voted in the most recent election. Of those aged 21-24 years, 42% said they had voted. Do fewer such registered voters actually vote, nowadays?
Hypothesis:
Type I and Type II Error
Type I Error:
Type II Error:
Explanation / Answer
We need to test the claim whether fewer such registered voters actually vote, nowadays. Hence, if the true proportion of registered vters vote today is p then:
Ho: p = 0.42
Ha: p < 0.42
This will be a one directional (left) hypothesis since alternative hypothesis contains "<" sign.
Type I error: Concluding that there are fewer such registered voters actually vote nowadays whereas the proportion is greater than or equal to 1994.
Type II error: Concluding that the proportion is greater than or equal to 1994 proportion whereas in actual, fewer such registered voters actually vote nowadays.
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