QUESTION 7 A random sample of 1000 college applications showed that 747 (of those applications were submitted online. Compute the test statistic used to test the claim that among all college applications the percentage submitted online is equal to 75%. Round your answer to three decimal places.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 8E
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QUESTION 7
A random sample of 1000 college applications showed that 747 (of those applications were submitted online. Compute the test statistic used to test the
claim that among all college applications the percentage submitted online is equal to 75%. Round your answer to three decimal places.
Transcribed Image Text:QUESTION 7 A random sample of 1000 college applications showed that 747 (of those applications were submitted online. Compute the test statistic used to test the claim that among all college applications the percentage submitted online is equal to 75%. Round your answer to three decimal places.
QUESTION 9
In a recent speech to students, the Dean of the College of Business claims that the average grade of students in the college is 75. To conduct a test of the
dean's claim, a randomly selected sample of 25 students revealed an average grade of 76 with a standard deviation of 5. Assuming that the distribution of
the grades is normal, is there evidence that the average grade is 75? Use a = 0.05.
vs H₁: µ # 75
Ho: μ = 75
t-stat = 1
p-value = 0.327
Do not reject Ho and thers is not enough evidence to support the dean's claim.
Ho: H = 75 vs H₁: µ#75.
z-stat = 1.
p-value = 0.317.
Do not reject Ho and thers is not enough evidence to support the dean's claim.
Ho: H = 75 vs H₁: #75.
Z-stat= -1.
p-value = 0.317.
Do not reject Ho and there is enough evidence to support the dean's claim.
Ho: p= 75 vs H₁: μ# 75.
t-stat = 1.
p-value = 0.327.
Do not reject Ho and there is enough evidence to support the dean's claim.
Transcribed Image Text:QUESTION 9 In a recent speech to students, the Dean of the College of Business claims that the average grade of students in the college is 75. To conduct a test of the dean's claim, a randomly selected sample of 25 students revealed an average grade of 76 with a standard deviation of 5. Assuming that the distribution of the grades is normal, is there evidence that the average grade is 75? Use a = 0.05. vs H₁: µ # 75 Ho: μ = 75 t-stat = 1 p-value = 0.327 Do not reject Ho and thers is not enough evidence to support the dean's claim. Ho: H = 75 vs H₁: µ#75. z-stat = 1. p-value = 0.317. Do not reject Ho and thers is not enough evidence to support the dean's claim. Ho: H = 75 vs H₁: #75. Z-stat= -1. p-value = 0.317. Do not reject Ho and there is enough evidence to support the dean's claim. Ho: p= 75 vs H₁: μ# 75. t-stat = 1. p-value = 0.327. Do not reject Ho and there is enough evidence to support the dean's claim.
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