# The sample proportion who said they pray is what? If a study of religious practices among college students interviewed a sample of 125 students; 105 of the students said that they prayed at least...

The sample proportion who said they pray is what?

If a study of religious practices among college students interviewed a sample of 125 students; 105 of the students said that they prayed at least once in a while.

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### 2 Answers

As long as the other 20 students in the sample said that they never pray, then we can easily find this answer. The proportion is just the percent of the people sampled who do pray at least sometimes.

A percentage is found by dividing the number of people (in this case the ones who pray) by the total number of people.

So all you have to do is 105/125. When you do the math, that gets you .84.

So what that means is that 84% of the students sampled to pray sometimes.

This means 16% never pray. If you divide 84/16, you get 5.25 so the proportion of people who pray to people who don't is 5.25:1.

You could also get this just by dividing 105/20 -- the ones who do by the ones who don't.

The number of persons who practice prayers is 105 in the sample size of 125.

Therefore the proportion p of prayers is: p = 105/125 = 0.84.

The proportion of those not praying is q =1-p = 0.14.

p, q and sample size often play part of infering about the similar characreristic proportion about the population with certain level of probability of accuracy called confidence interval.