Math  /  Data & Statistics

Questionn this exercise, test H0:p=0.5 vs Ha:p>0.5H_{0}: p=0.5 \text { vs } H_{a}: p>0.5 with p^=0.55\hat{p}=0.55 for different sample sizes. In parts (a)-(c), use StatKey or other technology to find the pp-value. Click here to access StatKey. (a) p^=55100=0.55\hat{p}=\frac{55}{100}=0.55
Round your answer to two decimal places. pp-value == \square
Are the results significant at the 5%5 \% level? (b) p^=275500=0.55\hat{p}=\frac{275}{500}=0.55
Round your answer to three decimal places. pp-value == \square Are the results significant at the 5%5 \% level? \square (c) p^=5501000=0.55\hat{p}=\frac{550}{1000}=0.55
Round your answer to three decimal places. pp-value == \square i
Are the results significant at the 5%5 \% level? \square (d) Which provides the strongest evidence for the alternative hypothesis? \square

Studdy Solution
(a) p-value=0.16p\text{-value} = 0.16, Not significant (b) p-value=0.013p\text{-value} = 0.013, Significant (c) p-value=0.001p\text{-value} = 0.001, Significant (d) The sample with n=1000n = 1000 provides the strongest evidence.

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