Is this problem correct so far? And would be step 5?

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.

p = 75% = 0.75, q=1-0.75 =0.25, n=60, X =43, a = 0.05 p = X = 43= 0.7167 n 60 Step 1: Ho: p =0.75 (claim) HI: p # 0.75 (claim) Step 2: a = 0.0500 = 0.0250 -+ 1.96 2 C.V. =+1.96 Step 3: P-P 0.7167 - 0.75 = -0.5956 # - 0.60 Z = VPq /0.75 * 0.25 50 Step 4: Do not reject Step 5