Answer:
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
<em> Null Hypothesis, </em><em> : P = 0.3 </em>
<em> Alternate Hypothesis, </em><em> : P </em><em> 0.3</em>
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
<em>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.</em>
Therefore, we will not reject the article’s claim.