High School

The Large Counts Condition must be met so that the sampling distribution of a sample proportion is approximately normal. Using appropriate notation, write out the Large Counts Condition for Normality.

The condition is:

\[ np \geq 10 \]

and

\[ n(1-p) \geq 10 \]

where \( n \) is the sample size and \( p \) is the sample proportion.

Answer :

Answer:

np>10 and n(1-p)>10

Step-by-step explanation:

  • Appropriate notation the Large Counts Condition for Normality is
  • The Large Counts Condition for Normality states that is the number of successes and failures which should be above the 10 to be assume normality
  • that is here express as n(p)>10 and n(1-p)>10
  • This is the notation of the Large Counts Condition for Normality.

Final answer:

The Large Counts Condition for Normality states that np and nq must both be greater than 5 in order for the sampling distribution of a sample proportion to be approximately normal.

Explanation:

The Large Counts Condition for Normality states that in order for the sampling distribution of a sample proportion to be approximately normal, both np and nq must be greater than 5, where n is the sample size and p is the probability of success in a single trial.

Learn more about Central Limit Theorem for Sample Proportions here:

https://brainly.com/question/29216740

#SPJ5

Other Questions