Question

The mayor of Lawrenceville indicated in a news interview that the percentage of students at GGC studying business is at least 30%. For your marketing project, you intend to test this claim. The correct setup of a hypothesis test for this situation is:________

a) H0: p < .30 Ha: p ≥ .30

b) H0: p ≤ .30 Ha: p > .30

c) H0: p ≥ .30 Ha: p < .30

d) H0: p > .30 Ha: p ≤ .30

Answer 1

c) H0: p ≥ .30 Ha: p < .30

Explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

For the case above; let p represent the proportion of students at GGC studying business.

The Null hypothesis H0 is that the proportion of students at GGC studying business is at least 0.30 (30/100 = 0.30). It is greater than or equal to 0.30.

H0: p ≥ 0.30

The alternative hypothesis Ha is that the proportion of

students at GGC studying business is less than 0.30.

Ha: p < 0.30