Question

For the statement below, write the claim as a mathematical statement. State the null and alternative hypotheses and identify which represents the claim. According to a recent survey, 27% of college students used their own income or savings to pay for college Write the claim as a mathematical statement. O A. p<0.27 OD. p#0.27 O B. p>0.27 O E. P50.27 OC. P20.27 ON p=0.27 Choose the correct null and alternative hypotheses below. O A. Ho: P = 0.27 Ha: P+0.27 OD. Ho P+0.27 Ha: p = 0.27 O B. Ho:p>0.27 Ha: p50.27 O E. Ho p<0.27 Ha D 20.27 O C. Ho: P20.27 Ha p<0.27 OF. Ho: P50.27 Ha p > 0.27

Answer 1

According to a recent survey, 27% of the college students used their income or savings to pay for college.

So, the proportion claimed by the survey is p is 27/100=0.27.

(a) To write the claim as a mathematical statement.

Now, claim is the statement, which the researcher makes about the population parameter. Here, as the survey says that the proportion is 0.27, so the claim is (F) p=0.27.

(b) To choose the null and alternative hypothesis.

Now, the null hypothesis is what the survey says, and the alternative is the one just complement to it. We cannot make better decisions about the alternative, because no sample study is involved here.

So, the correct answer is

(A) H0:p=0.27

H1:p not equal to 0.27.

(c) To identify the claim.

Now, the claim is nothing but the null hypothesis. And the claim is p=0.27.

So, the correct answer is (B) The null hypothesis H0:p=0.27 is the claim.