Question

An ABC News/Washington Post poll conducted March 3-6, 2016 asked, "Would you support or oppose an effort made by the federal government to deport all 11 million undocumented immigrants and send them back to their home countries?" 36% of respondents said "Support." You wonder whether this percentage is actually higher, after the recent debate coverage of this issue. The following hypotheses were used :

If a Type II error was made when performing the test, what happened? (Select all correct choices.)

Group of answer choices

Your suspicions were correct, but the test results said otherwise.

Your suspicions were not correct, but the test results confirmed your suspicions.

You believe  but in reality, it is less than or equal to 0.36

You believe  but in reality it is greater than 0.36

It is impossible to answer without sample data.

Answer 1

An Washington post poll conducted in 2016 asked

"Would you support or oppose an effort made by the federal government to deport all 11 million undocumented immigrants and send them back to their home countries ?"

36% of the respondents said YES.

The researcher wonders that this percentage is actually higher, after the recent debate coverage of this issue.

So, the null hypothesis is the fact that the percentage is exactly 36%.

The alternative hypothesis is the fact that the percentage is more than 36%.

Now, a type II error is committed, when one accepts the null hypothesis, when it is actually false.

So, in this case, the type II error is committed, when the researcher believes that the percentage is exactly 36, when it is actually greater.

So, the correct answer is option (d) You believe, but in reality it is greater than 0.36.