CLT and probability

A researcher conducted an experiment to evaluate if the proportion of supporters for the most corrupted party in the country is equal to 40% (null hypothesis). The alternative hypothesis is that the proportion is larger than 40%. In his sample, she observed:

•An average proportion of 48% of supporters
•An standard error ( ˆσ /sqrt n) of 3.1
•A p-value of 0.005 (approximately)

Assume you can use the CLT because the sample size is large enough. Answer true or false and explain your answer.

(a) If the null hypothesis is right, there is a 0.5% chance of observing a value equal to or larger than 48%.
(b)  The probability of the null hypothesis given the data is 0.5%.

  • It would take about an hour to write a good solution. Your offer is too low!

  • is it better now?


Answers can be viewed only if
  1. The questioner was satisfied and accepted the answer, or
  2. The answer was disputed, but the judge evaluated it as 100% correct.
View the answer
Erdos Erdos
  • Erdos Erdos

    If possible, set a later deadline for your questions in future.

  • I will. Unfortunately I only discovered this site last night

  • Thank you

The answer is accepted.
Join Matchmaticians Affiliate Marketing Program to earn up to 50% commission on every question your affiliated users ask or answer.