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g. Interpret the confidence interval in the context of the problem. h. If someone hypothesized that the majority of daytime Highline College students work, would you accept or reject this hypothesis?

g. Interpret the confidence interval in the context of the problem. h. If someone hypothesized that the majority of daytime Highline College students work, would you accept or reject this hypothesis?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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O 0 20 0 0 20 34 20 20 20 20 15 10 0 5 8 e. Compute the Margin of Error (high-low)/2 0.5926 -0.2646/2 = 0.164 f. Check two important assumptions: np > 10 and n(1 − p) > 10 If one of these is not true, then your results can not be trusted. np = 35x0.5926= 20.741 > 10 n(1-p) = 35(1-0.5926) = 14.259 > 10 g. Interpret the confidence interval in the context of the problem. h. If someone hypothesized that the majority of daytime Highline College students work, would you accept or reject this hypothesis?
Transcribed Image Text:O 0 20 0 0 20 34 20 20 20 20 15 10 0 5 8 e. Compute the Margin of Error (high-low)/2 0.5926 -0.2646/2 = 0.164 f. Check two important assumptions: np > 10 and n(1 − p) > 10 If one of these is not true, then your results can not be trusted. np = 35x0.5926= 20.741 > 10 n(1-p) = 35(1-0.5926) = 14.259 > 10 g. Interpret the confidence interval in the context of the problem. h. If someone hypothesized that the majority of daytime Highline College students work, would you accept or reject this hypothesis?
2. The data below shows hours worked per week by a sample of daytime Math& 146 students. I am assuming that these students represent a random sample of daytime Highline College Students. 0 21 32 0 32 32 10 O 2 30 0 8 O 00 0 7 0 25 30 O 20 0 20 a. Clearly state the population for this problem. The population is Math& 146 daytime students at Highline College b. Clearly state the sample for this problem. The sample is 35 Math& 146 daytime students at Highline College c. Compute the sample proportion p of students in the sample who worked 20 or more hours per week. 15 p=x/n 15/35 = 0.4286 d. Compute the 95% confidence interval for the population proportion of all daytime Highline students who work 20 or more hours per week. X± Z(S÷√n) 0.4286 ± 1.96 √0.4286(1-0.4286)/35 0.4286 +1.96 √0.4286(1-0.4286)/35 = 0.5926 0.4286 - 1.96 √0.4286(1-0.4286)/35 = 0.2646 95% confidence interval is (0.5926,0.2646) e. Compute the Margin of Error (high-low)/2 0.5926 -0.2646/2 = 0.164
Transcribed Image Text:2. The data below shows hours worked per week by a sample of daytime Math& 146 students. I am assuming that these students represent a random sample of daytime Highline College Students. 0 21 32 0 32 32 10 O 2 30 0 8 O 00 0 7 0 25 30 O 20 0 20 a. Clearly state the population for this problem. The population is Math& 146 daytime students at Highline College b. Clearly state the sample for this problem. The sample is 35 Math& 146 daytime students at Highline College c. Compute the sample proportion p of students in the sample who worked 20 or more hours per week. 15 p=x/n 15/35 = 0.4286 d. Compute the 95% confidence interval for the population proportion of all daytime Highline students who work 20 or more hours per week. X± Z(S÷√n) 0.4286 ± 1.96 √0.4286(1-0.4286)/35 0.4286 +1.96 √0.4286(1-0.4286)/35 = 0.5926 0.4286 - 1.96 √0.4286(1-0.4286)/35 = 0.2646 95% confidence interval is (0.5926,0.2646) e. Compute the Margin of Error (high-low)/2 0.5926 -0.2646/2 = 0.164
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