Answer to Question #128701 in Statistics and Probability for maham

Question

a) State the null and alternative hypothesis for a test to determine the validity of the claim
b) Identify left, right, or two-tailed test type
i. The 2011 average service time for Fast Fatz Burgers was 56 seconds. The store manager claims
that the 2012 average is more than 5 seconds faster.
ii. Speedy Solutions is a delivery company that claims all deliveries average less than 72 hours.
iii. At least 60% of indians vote in presidential elections.
iv. Chance of developing heart attack is under 50% for women.

Answer 1

Solution:

a.

i) $H_{o}: \mu =5$

$H_{a}: \mu >5$

ii)$H_{0}: \mu =72$

$H_{a}: \mu <72$

iii)$H_{o}: p = 0.6$

$H_{a}: p > 0.6$

iv) $H_{0}: p = 0.5$

$H_{a}: p < 0.5$

b. i)  This is a right-tailed test, since the null hypothesis values are located on the right.

ii)  This is a left-tailed test, since the null hypothesis values are located on the left.

iii) This is a right-tailed test, since the null hypothesis values are located on the right.

iv) This is a left-tailed test, since the null hypothesis values are located on the left.