An annual survey of first year college students asks 271,000 students about their attitudes on a variety of subjects, according to a recent survey, 52% of first year students believe that abortion should be legal. Use a significance level to test the claim that over half of all first year students believe that abortion should be legal

Verified Answer :

Thank you for posting your question here at brainly. I believe the you just multiply 271,000 student by 52% the result is that 140,920 which is more than half of the 271,000 that should be 135,300. I hope it helps.

Answer:

As the number of students believe that abortion should be legal 140920 is greater than half students of college first year.

\(140920 > 135500\)

This shows that t over half of all first year students believe that abortion should be legal .

Step-by-step explanation:

Formula

\(Percentage = \frac{Part\ value\times 100}{Total\ value}\)

As given

An annual survey of first year college students asks 271,000 students about their attitudes on a variety of subjects.

According to a recent survey, 52% of first year students believe that abortion should be legal.

Let us assume that according to the survey number of students believe that abortion should be legal be x.

Here

Percentage = 52%

Total value = 271,000

Part value = x

Put in the formula

\(52 = \frac{x\times 100}{271000}\)

\(x = \frac{271000\times 52}{100}\)

\(x = 2710\times 52\)

x = 140920

Thus according to the survey number of students believe that abortion should be legal 140920 .

Now find out the half students of first year .

\(Half\ students\ of\ college\ first\ year = \frac{271000}{2}\)

\(Half\ students\ of\ college\ first\ year = 135500\)

As according to survey  the number of students believe that abortion should be legal 140920 is greater than half students of college first year.

i.e

\(140920 > 135500\)

Thus this shows that t over half of all first year students believe that abortion should be legal .