For each of the following hypothesis tests, which option gives the most evidence

Question

For each of the following hypothesis tests, which option gives the most evidence in favor of the alternative hypothesis?

a.) Ho: p = 0.7 vs. Ha: p 0.7

A sample proportion = 0.3

A sample proportion = 0.1    

A sample proportion = 0.7

A sample proportion = 0.9

b.) Ho: 1 = 2 vs. Ha: 1 2

Sample means that are farther apart

Sample means that are closer together, but not equal    

Sample means that are equal

c.) Simple linear regression: test for negative slope

b = -15

b = 10    

b=0.3

b=0

b=-3

d.) Ho: p1 = p2 vs. Ha: p1 > p2 (Assume the first sample proportion is larger than the second.)

Sample sizes that are equal

Sample sizes that are far apart    

Sample sizes that are both small

Sample sizes that are both large

e.) Ho: = 3 vs. Ha: > 3 (Assume again that the sample mean is larger than 3.)

s = 3

s = 10    

s = 5

s = 1

Explanation / Answer

Part-a- -Sample Proportion=0.1

Part-b- Sample means that are farther apart

Part-c- b = -15

Part-d - Sample sizes that are both large

Part-e- s = 1

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