4.1
Null and Alternative Hypothesis
For each of the following problems:
a) Write the null and alternative hypothesis.
b) Label whether the null or the alternative is the original claim.
c) Tell whether this is a left tail test, a right tail test, or a two tail test.
1. According to a CNN report, besides cell phones, 93% of Americans also own a traditional
phone. But has that percentage decreased as more and more Americans opt to only use a cell
phone and throw away their traditional phones?
Ho: p=0.93- claim
H1: p<0.93
Left tailed test
2. According to a recent Newspaper article, people in California spend 1.25 hours a day eating
and drinking. Suppose we want to test the claim that the number of hours spent eating and
drinking is really 1.25 hours.
Ho: u= 1.25- claim
H1: 1.25
Two tailed Test
3. More and more Americans are becoming financially sound and opting to not own a credit
card. According to an article in USA Today, 74% of Americans still have at least one credit card.
But this claim seems a little on the low side. We think that more than 74% of Americans own a
credit card.
Ho: p= 0.74 claim
H1:p> 0.74. Right tailed test