You read an article that claims only 30% of graduating seniors will buy a class ring. To test this claim, you survey 15 randomly selected seniors in your school and find that 4 are planning to buy a class ring. Should you reject the article’s claim? Explain.

No, we will not reject the article’s claim.

Step-by-step explanation:

Here we are given that there is an article that claims only 30% of graduating seniors will buy a class ring and we have to test this claim.

Let P = claim that only 30% of graduating seniors will buy a class ring

           Null Hypothesis, : P = 0.3

  Alternate Hypothesis, : P 0.3

To test the above claim 15 randomly seniors are selected from the school and it is found that 4 are planning to buy a class ring.

Let X = Number of seniors planning to buy a class ring = 4

and n = Number of seniors selected from the school = 15

The test statistics we will be using is;

                follows N(0,1) {Here 0.5 is used for continuity correction}

 Here we will add 0.5 to X because < P.

So, Test statistics = = 0

Now, since we are not given any level of significance so we assume it to be 5%. At 5% significance level critical values of z are -1.96 and 1.96 from the table{two-tail}. Since our test statistics lies between these two values so we have sufficient evidence to accept null hypothesis and conclude that claim of only 30% of graduating seniors will buy a class ring is correct.

Therefore, we will not reject the article’s claim.