A student at a university wants to determine if the proportion
of students that use iPhones is less than 0.33. The hypotheses for
this scenario are as follows. Null Hypothesis: p ≥ 0.33,
Alternative Hypothesis: p < 0.33. If the student takes a random
sample of students and calculates a pvalue of 0.0466 based on the
data, what is the appropriate conclusion? Conclude at the 5% level
of significance.

1)

The proportion of students that use iPhones is greater than or
equal to 0.33. 


2)

We did not find enough evidence to say the proportion of
students that use iPhones is less than 0.33. 


3)

The proportion of students that use iPhones is significantly
less than 0.33. 


4)

The proportion of students that use iPhones is significantly
different from 0.33. 


5)

The proportion of students that use iPhones is significantly
larger than 0.33. 

A student at a university wants to determine if the proportion
of students that use iPhones is different from 0.37. The hypotheses
for this scenario are as follows. Null Hypothesis: p = 0.37,
Alternative Hypothesis: p ≠ 0.37. If the student takes a random
sample of students and calculates a pvalue of 0.0406 based on the
data, what is the appropriate conclusion? Conclude at the 5% level
of significance.

1)

The proportion of students that use iPhones is significantly
larger than 0.37. 


2)

We did not find enough evidence to say a significant difference
exists between the proportion of students that use iPhones and
0.37 


3)

The proportion of students that use iPhones is equal to
0.37. 


4)

The proportion of students that use iPhones is significantly
less than 0.37. 


5)

The proportion of students that use iPhones is significantly
different from 0.37. 

Suppose the national average dollar amount for an automobile
insurance claim is $792.15. You work for an agency in Michigan and
you are interested in whether or not the state average is greater
than the national average. Treating the national mean as the
historical value, What are the appropriate hypotheses for this
test?

1)

H_{O}: μ ≥ 792.15
H_{A}: μ < 792.15 


2)

H_{O}: μ < 792.15
H_{A}: μ ≥ 792.15 


3)

H_{O}: μ > 792.15
H_{A}: μ ≤ 792.15 


4)

H_{O}: μ ≤ 792.15
H_{A}: μ > 792.15 


5)

H_{O}: μ = 792.15
H_{A}: μ ≠ 792.15 

Consumers Energy states that the average electric bill across
the state is $51.28. You want to test the claim that the average
bill amount is actually different from $51.28. What are the
appropriate hypotheses for this test?

1)

H_{O}: μ ≠ 51.28
H_{A}: μ = 51.28 


2)

H_{O}: μ > 51.28
H_{A}: μ ≤ 51.28 


3)

H_{O}: μ = 51.28
H_{A}: μ ≠ 51.28 


4)

H_{O}: μ ≥ 51.28
H_{A}: μ < 51.28 


5)

H_{O}: μ ≤ 51.28
H_{A}: μ > 51.28 
