Gender Discrimination in Tech (Example 6) A Pew Research poll asked respondents to fill in the blank to this question: Compared to other industries there is _____ discrimination against women in the tech industry. Responses separated by gender are shown in the following table. The results are shown using a sample size of 280 men and 150 women. (Source: Pewresearch.org) See page 263 for guidance. a. If a person is selected at random from this group, find the probability that the person is a man or said “about the same” (or both)? b. If a person is selected at random from this group, find the probability the person is a man and said “about the same.”
Gender Discrimination in Tech (Example 6) A Pew Research poll asked respondents to fill in the blank to this question: Compared to other industries there is _____ discrimination against women in the tech industry. Responses separated by gender are shown in the following table. The results are shown using a sample size of 280 men and 150 women. (Source: Pewresearch.org) See page 263 for guidance. a. If a person is selected at random from this group, find the probability that the person is a man or said “about the same” (or both)? b. If a person is selected at random from this group, find the probability the person is a man and said “about the same.”
Solution Summary: The provided table summarizes the result of a Pew Research poll in which respondents were asked to fill in the blank to the question on Gender discrimination in Tech industry.
Gender Discrimination in Tech (Example 6) A Pew Research poll asked respondents to fill in the blank to this question: Compared to other industries there is _____ discrimination against women in the tech industry. Responses separated by gender are shown in the following table. The results are shown using a sample size of 280 men and 150 women. (Source: Pewresearch.org) See page 263 for guidance.
a. If a person is selected at random from this group, find the probability that the person is a man or said “about the same” (or both)?
b. If a person is selected at random from this group, find the probability the person is a man and said “about the same.”
Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.
During busy political seasons, many opinion polls are conducted. In apresidential race, how do you think the participants in polls are generally selected?Discuss any issues regarding simple random, stratified, systematic, cluster, andconvenience sampling in these polls. What about other types of polls, besides political?
Please could you explain why 0.5 was added to each upper limpit of the intervals.Thanks
28. (a) Under what conditions do we say that two random variables X and Y are
independent?
(b) Demonstrate that if X and Y are independent, then it follows that E(XY) =
E(X)E(Y);
(e) Show by a counter example that the converse of (ii) is not necessarily true.
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