In order to get elected you need a support of at least 50% of population. You ra

Question

In order to get elected you need a support of at least 50% of population. You randomly select 100 voters for the
exit-poll and ask them whether they voted for you. 40 voters out of 100 said that they voted for you. You decide
to use the binomial test to check whether the probability that a random voter supports you is 0.5.
• (a) How many voters out of 100 you expect to be your supporters if 50% of population supports you?
• (b) What is the p-value in your binomial test?
• (c) How would you use the p-value from part (b) to decide whether the data (40 out of 100) is in line with
your assumptions (50% support)?

Explanation / Answer

Solution:

Given :

In order to get elected you need a support of at least 50% of the population. You randomly select 100 voters for the exit-poll and ask them whether they voted for you. 40 voters out of 100 said that they voted for you And the probability that a random voter supports you is 0.5.

(a) 50 voters out of 100 you expect to be your supporters because 50% of the population supports you.

(b) The p-value = 0.02844 ( Calculate using Excel command BINOM.DIST(40,100,0.5,TRUE) )

(c) Since the p-value is less than the level of significance (0.05) so we reject the null hypothesis that means the data (40 out of 100) is not support your assumptions of 50% supporters.

Cheers!!

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.