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A student at a university wants to determine if the proportion of students that use iPhones is greater than 0.4. The hypotheses for this scenario are as follows. Null Hypothesis: p ≤ 0.4, Alternative Hypothesis: p > 0.4. If the student randomly samples 27 other students and finds that 12 of them use iPhones, what is the test statistic and p-value?

Question 7 options:

	1) Test Statistic: -0.471, P-Value: 0.319
	2) Test Statistic: -0.471, P-Value: 0.681
	3) Test Statistic: 0.471, P-Value: 0.638
	4) Test Statistic: 0.471, P-Value: 0.319
	5) Test Statistic: 0.471, P-Value: 0.681

Question 8 (1 point)

A suggestion is made that the proportion of people who have food allergies and/or sensitivities is 0.66. You believe that the proportion is actually less than 0.66. The hypotheses for this test are Null Hypothesis: p ≥ 0.66, Alternative Hypothesis: p < 0.66. If you select a random sample of 20 people and 13 have a food allergy and/or sensitivity, what is your test statistic and p-value?

Question 8 options:

	1) Test Statistic: -0.094, P-Value: 0.924
	2) Test Statistic: 0.094, P-Value: 0.538
	3) Test Statistic: -0.094, P-Value: 0.462
	4) Test Statistic: -0.094, P-Value: 0.538
	5) Test Statistic: 0.094, P-Value: 0.462

Question 9 (1 point)

A student at a university wants to determine if the proportion of students that use iPhones is greater than 0.43. The hypotheses for this scenario are as follows. Null Hypothesis: p ≤ 0.43, Alternative Hypothesis: p > 0.43. If the student takes a random sample of students and calculates a p-value of 0.0168 based on the data, what is the appropriate conclusion? Conclude at the 5% level of significance.

Question 9 options:

	1) We did not find enough evidence to say the proportion of students that use iPhones is larger than 0.43.
	2) The proportion of students that use iPhones is significantly larger than 0.43.
	3) The proportion of students that use iPhones is significantly less than 0.43.
	4) The proportion of students that use iPhones is significantly different from 0.43.
	5) The proportion of students that use iPhones is less than or equal to 0.43.

Question 10 (1 point)

A student at a university wants to determine if the proportion of students that use iPhones is greater than 0.41. The hypotheses for this scenario are as follows. Null Hypothesis: p ≤ 0.41, Alternative Hypothesis: p > 0.41. If the student takes a random sample of students and calculates a p-value of 0.2807 based on the data, what is the appropriate conclusion? Conclude at the 5% level of significance.

Question 10 options:

	1) We did not find enough evidence to say a significant difference exists between the proportion of students that use iPhones and 0.41
	2) The proportion of students that use iPhones is less than or equal to 0.41.
	3) We did not find enough evidence to say the proportion of students that use iPhones is larger than 0.41.
	4) The proportion of students that use iPhones is significantly larger than 0.41.
	5) We did not find enough evidence to say the proportion of students that use iPhones is less than 0.41.

Answer 1

Ans 7 ) using minitab>stat>basic stat>one proportion

we have

Test and CI for One Proportion

Test of p = 0.4 vs p > 0.4

Sample X N Sample p 95% Lower Bound Z-Value P-Value
1 12 27 0.444444 0.287148 0.471 0.319

option 4is true

4)Test Statistic: 0.471, P-Value: 0.319

Ans 8) using minitab>stat>basic stat>one proportion

Test and CI for One Proportion

Test of p = 0.66 vs p < 0.66

Sample X N Sample p 95% Upper Bound Z-Value P-Value
1 13 20 0.650000 0.825430 -0.09 0.462
option 3 is true

3)	Test Statistic: -0.094, P-Value: 0.462

Ans 9) Null Hypothesis: p ≤ 0.43

, Alternative Hypothesis: p > 0.43

p-value of 0.0168 which is lwss than 0.05 so reject H0

so option 2 is true

2)The proportion of students that use iPhones is significantly larger than 0.43.

Ans 10 ) Null Hypothesis: p ≤ 0.41

, Alternative Hypothesis: p > 0.41

p-value of 0.2807 which is greater than 0.05 so we do not reject H0

option 3 is true

3)We did not find enough evidence to say the proportion of students that use iPhones is larger than 0.41.