Question

1. Amazon claims that 70% of online shoppers use their website on Cyber Monday. You are a bit skeptical of this claim and think that the number might actually be lower.

a) Set up the null and alternative hypotheses to test if 70% of online shoppers use amazon or if that proportion is actually smaller. Be sure to use correct notation.

2. The Minnesota department of natural resources say that 58% of the trees in Fort Snelling State Park are infested with a particular insect. I think that estimate might be too high.

a) Set up the null and alternative hypotheses to test if 58% or trees in the park have buds of if that population is actually larger. Be sure to use correct notation.

Answer 1

Question 1

Part a

The null and alternative hypothesis for this test is given as below:

Null hypothesis: H₀: About 70% of online shoppers use their website on Cyber Monday.

Alternative hypothesis: H_a: Less than 70% of online shoppers use their website on Cyber Monday.

H₀: p = 0.70 versus H_a: p < 0.70

Question 2

Part a

Null hypothesis: H₀: About 58% of the trees in Fort Snelling State Park are infested with a particular insect.

Alternative hypothesis: H_a: Less than 58% of the trees in Fort Snelling State Park are infested with a particular insect.

H₀: p = 0.58 versus H_a: p < 0.58