Is this problem correct?

A computer manufacturer claims that 75% of teenagers 13 to 16 years old have their own computers. A researcher wishes to test the claim and selects a random sample of 60 teenagers.

She finds that 43 have their own computers. At a = 0.05, should the claim be rejected?Use the

traditional method of hypothesis testing. Round to the nearest thousandth. Hint: The claim is the null hypothesis, and the alternative hypothesis is that the percentage (probability) is not 75% (of teenagers 13 to 16 years old who have their own computers).

p= 75% = 0.75, q=1-0.75 = 0.25, n=60, X =43, a = 0.05 p = X = 43= 0.7167 =0.717 60 Step 1: Ho: p = 0.75 (claim) HI: p # 0.75 (claim) Step 2: X = 0.0500 = 0.0250 - + 1.96 2 2 C.V. =+1.96 Step 3: 0.717 - 0.75 = -0.5903 # - 0.59 Z = P-P /Pq 0.75 * 0.25 60 Step 4: Do not reject Step 5: There is enough evidence to support the claim that teenagers 13 to 16 years old have their own computer