Question

Question 5 (1 point)

A student at a university wants to determine if the proportion of students that use iPhones is less than 0.46. The hypotheses for this scenario are as follows. Null Hypothesis: p ≥ 0.46, Alternative Hypothesis: p < 0.46. If the student takes a random sample of students and calculates a p-value of 0.8906 based on the data, what is the appropriate conclusion? Conclude at the 5% level of significance.

Question 5 options:

	1) The proportion of students that use iPhones is significantly less than 0.46.
	2) The proportion of students that use iPhones is greater than or equal to 0.46.
	3) We did not find enough evidence to say the proportion of students that use iPhones is less than 0.46.
	4) We did not find enough evidence to say the proportion of students that use iPhones is larger than 0.46.
	5) We did not find enough evidence to say a significant difference exists between the proportion of students that use iPhones and 0.46

Question 6 (1 point)

You hear on the local news that for the city of Kalamazoo, the proportion of people who support President Trump is 0.37. However, you think it is greater than 0.37. The hypotheses you want to test are Null Hypothesis: p ≤ 0.37, Alternative Hypothesis: p > 0.37. You take a random sample around town and calculate a p-value for your hypothesis test of 0.9793. What is the appropriate conclusion? Conclude at the 5% level of significance.

Question 6 options:

	1) The proportion of people who support President Trump is less than or equal to 0.37.
	2) We did not find enough evidence to say a significant difference exists between the proportion of people who support President Trump and 0.37
	3) We did not find enough evidence to say the proportion of people who support President Trump is less than 0.37.
	4) The proportion of people who support President Trump is significantly larger than 0.37.
	5) We did not find enough evidence to say the proportion of people who support President Trump is larger than 0.37.

Question 7 (1 point)

A medical researcher wants to determine if the average number of days spent in the hospital after a certain procedure is different from 9.8 days. If the researcher conducts a hypothesis test, what will the null and alternative hypotheses be?

Question 7 options:

	1) HO: μ ≥ 9.8 HA: μ < 9.8
	2) HO: μ ≤ 9.8 HA: μ > 9.8
	3) HO: μ = 9.8 HA: μ ≠ 9.8
	4) HO: μ > 9.8 HA: μ ≤ 9.8
	5) HO: μ ≠ 9.8 HA: μ = 9.8

Question 8 (1 point)

Consumers Energy states that the average electric bill across the state is $39.09. You want to test the claim that the average bill amount is actually different from $39.09. What are the appropriate hypotheses for this test?

Question 8 options:

	1) HO: μ > 39.09 HA: μ ≤ 39.09
	2) HO: μ = 39.09 HA: μ ≠ 39.09
	3) HO: μ ≥ 39.09 HA: μ < 39.09
	4) HO: μ ≠ 39.09 HA: μ = 39.09
	5) HO: μ ≤ 39.09 HA: μ > 39.09

Answer 1

Question 5)

Solution:-

Given,

Null Hypothesis(H_{​​​​​​0}): p ≤ 0.37

Alternative Hypothesis(H_{​​​​​​a}): p > 0.37

P-value= 0.8906

Here, P-value >

We fail to reject null hypothesis.

Conclusion:- We did not find enough evidence to say the proportion of students that use iPhones is less than 0.46.

Question 6)

Solution:-

Given,

Null Hypothesis(H_{​​​​​​0}) : p ≤ 0.37

Alternative Hypothesis(H_{​​​​​​a}) : p > 0.37

P-value=0.9793

Here, p-value >

We fail to reject null hypothesis.

Conclusion:- We did not find enough evidence to say the proportion of people who support President Trump is larger than 0.37.

Question 7)

Solution:-

Given,

Claim: A medical researcher wants to determine if the average number of days spent in the hospital after a certain procedure is different from 9.8 days.

Null and alternative hypothesis is,

H_{​​​​​​0}: μ = 9.8
H_{​​​​​​A}: μ ≠ 9.8

Question 8)

Solution:-

Given,

Claim: that the average bill amount is actually different from $39.09.

Null and alternative hypothesis is,

H_{​​​​​​0}: μ = 39.09
H_{​​​​​​A}: μ ≠ 39.09