Question

In a study of the accuracy of fast food drive-through orders, one restaurant had 34 orders that were not accurate among 393 orders observed. Use a 0.05 significance level to test the claim that the rate of inaccurate orders is more than 10%. identify the original claim identify the null and the alternative hypothesis identify the test statistic. identify the P-value Do we reject or fail-to-reject the null hypothesis. Write down your final conclusion that addresses the original claim

Answer 1

Solution :

This is the right tailed test .

The null and alternative hypothesis is

H₀ : p = 0.10

H_a : p > 0.10

n = 393

x = 34

= x / n = 34 / 393 = 0.0865

P₀ = 0.10

1 - P₀ = 1 - 0.10 = 0.90

z = - P₀ / [P_{0 *} (1 - P₀ ) / n]

= 0.0865 - 0.10 / [(0.10 * 0.90) / 393]

= -0.89

Test statistic = -0.89

This is the right tailed test .

P(z > -0.89) = 1 - P(z <-0.89) = 1 - 0.1867 = 0.8133

P-value = 0.8133

= 0.05

P-value >

Fail to reject the null hypothesis .