Question

1. “Boston Bob’s Best BBQ Blazed Beefy Burgers” claims with 95% confidence, that at least 88% of the customers like the new cheeseburger. A sample of 50 customers shows that 36 of them approve.

   1. H0: __________

   2. H1: __________

   3. P=__________

   4. Is the claim correct? (Reject / Fail to Reject)__________

Answer 1

Solution :

This is the right tailed test .

The null and alternative hypothesis is

H₀ : p = 0.88

H_a : p >0.88

n = 50

x = 36

= x / n = 36 / 50 =0.72

P₀ = 0.88

1 - P₀ = 1 - 0.88 = 0.12

Test statistic = z

= - P₀ / [P_{0 *} (1 - P₀ ) / n]

= 0.72 - 0.88/ [(0.88*0.12) / 50 ]

= -3.48

Test statistic = z = -3.48

P(z > -3.48 ) = 1 - P(z < -3.48) = 1 - 0.0003

P-value = 0.9997

= 0.05

P-value >

0.9997 > 0.05

Fail to reject the null hypothesis .

There is not sufficient evidence to suggest that