Mrs. Lefty is a politician who is conducting a survey to see what her chances ar

Question

Mrs. Lefty is a politician who is conducting a survey to see what her chances are at winning an upcoming election against Mr. McRighterson. One of the questions she asks uses a 5-point scale:

Would you vote for Mrs. Lefty if the election was held today?

Strongly Disagree 1
Moderately Disagree 2
Unsure 3

Moderately Agree 4
Strongly Agree5

She gets a random sample of 150 people from her district, and her statistician tells her that the mean is 4.2 out of 5, and the standard error is 0.1.  












Question 5b. Based on this data, should Mrs. Lefty be worried about winning this election? Or is there good evidence that most people will want to vote for her instead of Mr. McRighterson? Why or why not?

Explanation / Answer

Below are the null and alternate hypothesis

H0: mu <= 4

H1: mu > 4

Test statistics, t = (4.2 - 4)/0.1 = 2

p-value = 0.0228

As p-value is less than the significance level of 0.05, we reject the null hypothesis.

This means there are significant evidence that if elections happen today Mrs. Lefty should not worry about winning this election.

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