Question

1. The null and alternative hypotheses are given. Determine whether the parameter that is being tested.

Parameter: (Population mean, Population proportion, Sample mean, Sample proportion)

a. H₀: μ = 9.5
H₁: μ ≠ 9.5   

b. H₀: p =0.05
H₁: p < 0.05

1.B) A referendum for an upcoming election is favored by more than half of the voters.

1. Is this about a mean or a proportion?

a. proportion

b. mean

2. Identify the null hypothesis, the alternative hypothesis for a hypothesis test of this statement.

H_o: p

a. = 0.50

b. < 0.50

c. > 0.50

H_1: p

a. > 0.50

b. = 0.50

c. < 0.50

Save your answers for the next question.

1.C) The dean of a major university claims that the mean number of hours students study at her University (per day) is 3.2 hours. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

*In the last question I gave you the null and alternative hypotheses, write the correct hypotheses in this question and then answer appropriately.

a. There is not sufficient evidence to reject the claim μ = 3.2.

b. There is not sufficient evidence to support the claim μ ≤ 3.2.

c. There is sufficient evidence to reject the claim μ = 3.2.

d. There is sufficient evidence to support the claim μ = 3.2.

1.D) A 4-year college claims that the percentage of their students that graduate on time is 91.3%.

A student decides to test this claim with the following hypothesis test.

H_o: p = 0.913

H₁: p ≠0.913

With respect to the situation described in this problem, what is a type 1 error?

a. The evidence suggests that the percentage of students that graduate on time is 91.3%, but in fact the percentage is equal to 91.3%

b. The evidence suggests that the percentage of students that graduate on time is equal to 91.3%, but in fact it is different than 91.3%.

c. The evidence suggests that the percentage of students that graduate on time is different than 91.3%, but in fact it is less than 91.3%.

d. The evidence suggests that the percentage of students that graduate on time is equal to 91.3%, but in fact it is greater than 91.3%

Answer 1

a. H0: μ = 9.5
H1: μ ≠ 9.5   

parameter being tested is popualtion mean, μ

b. H0: p =0.05
H1: p < 0.05

parameter being tested is popualtion proportion,p

1.B) A referendum for an upcoming election is favored by more than half of the voters.

1. Is this about a mean or a proportion?

Ho:p=0.5

H1:p>0.5

its a test on proportion

2. Identify the null hypothesis, the alternative hypothesis for a hypothesis test of this statement.

Ho: p=0.5

H1:p>0.5

1.C) The dean of a major university claims that the mean number of hours students study at her University (per day) is 3.2 hours. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

H0: μ = 3.2
H1: μ ≠ 3.2

we rejected null hypothesis

Accept alternative hypothesis

b. There is not sufficient evidence to support the claim μ ≤ 3.2.

1.D) A 4-year college claims that the percentage of their students that graduate on time is 91.3%.

A student decides to test this claim with the following hypothesis test.

Ho: p = 0.913

H1: p ≠0.913

With respect to the situation described in this problem, what is a type 1 error?

Reject the nullhypothesis when Ho si true,is type 1 error

a. The evidence suggests that the percentage of students that graduate on time is 91.3%, but in fact the percentage is equal to 91.3%