Question

Given the hypotheses for the proportion answering yes to a question:

H 0:p=0.15
Ha:p>0.15
Which sample results provide the strongest evidence for the alternative hypothesis?
A) 50 say yes out of 100
B)90 say yes out of 100
C)70 say yes out of 100
D)20 say yes out of 100

Answer 1

Sample B with a proportion of 0.9 provides the strongest evidence for the alternative hypothesis.

Step-by-step explanation:

The question asks which sample results provide the strongest evidence for the alternative hypothesis, which states that the proportion of people answering yes is greater than 0.15. To determine this, we can compare the sample proportions to the null hypothesis proportion of 0.15. The sample with the highest proportion of yes answers is the one that provides the strongest evidence for the alternative hypothesis.

Let's calculate the proportions for each sample:

1. Sample A: 50 say yes out of 100, proportion = 50/100 = 0.5
2. Sample B: 90 say yes out of 100, proportion = 90/100 = 0.9
3. Sample C: 70 say yes out of 100, proportion = 70/100 = 0.7
4. Sample D: 20 say yes out of 100, proportion = 20/100 = 0.2

From the calculations, Sample B with a proportion of 0.9 provides the strongest evidence for the alternative hypothesis.