Question

# A student at a university wants to determine if the proportion of students that use iPhones...

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 p-value 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 p-value 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) HO: μ ≥ 792.15 HA: μ < 792.15
 2) HO: μ < 792.15 HA: μ ≥ 792.15
 3) HO: μ > 792.15 HA: μ ≤ 792.15
 4) HO: μ ≤ 792.15 HA: μ > 792.15
 5) HO: μ = 792.15 HA: 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) HO: μ ≠ 51.28 HA: μ = 51.28
 2) HO: μ > 51.28 HA: μ ≤ 51.28
 3) HO: μ = 51.28 HA: μ ≠ 51.28
 4) HO: μ ≥ 51.28 HA: μ < 51.28
 5) HO: μ ≤ 51.28 HA: μ > 51.28