Question

You're working at a marketing firm. The firm recently introduced a new smartphone to the US market and they are interested if more than half of consumers in the US are familiar with the new product. The marketing firm surveyed 500 customers shopping for phones. Of those customers, 265 had heard of the new phone. What is the Z score for this test

Answer 1

The Z score for this test is 1.3416

Explanation:

According to the data given:

Null Hypothesis is: H0: p = 0.5

Alternative Hypothesis is: Ha: p > 0.5

Here the firm found 265 out of 500 heard pf the phone

p-cap = 265/500 = 0.53

n (sample size) = 500

Therefore, z = (p-cap – p)/√{p*(1-p)/n}

= (0.53 – 0.5)/√(0.5*0.5/500)

= 0.03/√(0.0005)

= 0.03/0.02236

= 1.3416

The Z score for this test is 1.3416