An SRS of 250 male faculty at a large university found that 110 felt that the university was supportive of female and minority faculty. An independent SRS of 200 female faculty found that 70 felt that the university was supportive of female and minority faculty. Let pmpmpmpm and pfpfpfpf represent the proportion of all male and female faculty, respectively, at the university who felt that the university was supportive of female and minority faculty at the time of the survey. Is there evidence that the proportion of male faculty members who felt the university was supportive of female and minority faculty is larger than the corresponding proportion for female faculty members? Use α=0.10 A) Were the data appropriately collected for performing a two-sample z test on proportions? Group of answer choices No, because the 450 subjects in the study were not randomly allocated to one of the two treatment groups. Yes, because separate simple random samples were selected from the male and female university faculty. No, because a random sample was not taken. Yes, because the 450 subjects in the study were randomly allocated to one of the two treatment groups B)Is the normality condition for performing a two-sample z test on proportions met? Group of answer choices Yes, because 450 is greater than 30, thus satisfying the Central Limit Theorem. No, because one or both of the population distributions were not stated to have a known normal distribution Yes, because all of the np and n(1-p) checks are greater than 5. No, because at least one of the np checks is less than 5

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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An SRS of 250 male faculty at a large university found that 110 felt that the university was supportive of female and minority faculty. An independent SRS of 200 female faculty found that 70 felt that the university was supportive of female and minority faculty. Let pmpmpmpm and pfpfpfpf represent the proportion of all male and female faculty, respectively, at the university who felt that the university was supportive of female and minority faculty at the time of the survey. Is there evidence that the proportion of male faculty members who felt the university was supportive of female and minority faculty is larger than the corresponding proportion for female faculty members? Use α=0.10

A) Were the data appropriately collected for performing a two-sample z test on proportions?

Group of answer choices

No, because the 450 subjects in the study were not randomly allocated to one of the two treatment groups.

Yes, because separate simple random samples were selected from the male and female university faculty.

No, because a random sample was not taken.

Yes, because the 450 subjects in the study were randomly allocated to one of the two treatment groups

B)Is the normality condition for performing a two-sample z test on proportions met?

Group of answer choices

Yes, because 450 is greater than 30, thus satisfying the Central Limit Theorem.

No, because one or both of the population distributions were not stated to have a known normal distribution

Yes, because all of the np and n(1-p) checks are greater than 5.

No, because at least one of the np checks is less than 5

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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