\( P( \) woman who showed up for her trial or the person was a man \( )= \) 0.95 Part: 2 / 4 Part 3 of 4 (c) Find the probability that the person did not show up for the trial. \( P( \) did not show up for the trial \( )= \) \( \square \) Skip Part Check Save For Lat Terms of Use
Added by Darnell C.
Close
Step 1
- Let \( A \) be the event that a woman showed up for her trial. - Let \( B \) be the event that the person was a man. - We are given \( P(A \cup B) = 0.95 \). Show more…
Show all steps
Your feedback will help us improve your experience
Evelyn Cunningham and 55 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
In a court case reviewed by the Supreme Court the plaintiffs alleged that the method for selecting juries in a county in Texas was biased against Mexican Americans. For the period of time at issue, there were 181, 535 persons eligible for jury duty, of whom 143, 611 were Mexican Americans. Of the 870 people selected for jury duty, 339 were Mexican Americans. a. What proportion of eligible jurors were Mexican Americans? Denote this value by p0. b. Let p be the probability that a randomly selected juror is a Mexican American. The null hypothesis to be tested is H0 : p = p0 Find the value of p̂ for this problem, compute the z-statistic, and estimate the p-value. What do you conclude? c. Reformulate the problem as a two-sample problem. Here we wish to compare the proportion of Mexican Americans among those selected as jurors with the proportion of Mexican Americans among those not selected as jurors. Let p1 be the probability that a randomly selected juror is a Mexican American, and let p2 be the probability that a randomly selected nonjuror is a Mexican American. Find the z-statistic and its p-value. How do your answers compre with your results in part (b)?
Lucas F.
Census data for a certain county show that 20% of the adult residents are Hispanic. Suppose 78 people are called for jury duty and only 12 of them are Hispanic. Does this apparent underrepresentation of Hispanics call into question the fairness of the jury selection system? Explain. Write appropriate hypotheses. Ho= HA= The test statistic is= The P-value is= Round to three decimals for both! State your conclusion assuming a P-value smaller than 0.05 is significant. _______ the null hypothesis. There _____ sufficient evidence to conclude that the proportion of Hispanics in the jury pool is _____ the proportion of Hispanics in the population.
Qudsiya A.
One couple and four singles have been invited to a dinner party where dinner will be served promptly at 8pm. The chance any single arrives late to the party is 20%. The chance the couple arrives late is 40% (the couple will arrive together). Let X = the number of guests arriving late. Note: If I want to find the probability that 3 people arrive late to the party. This can happen in two ways: (a) any combination of 3 singles arrive late (all others on time) or (b) any 1 single and the couple arrive late (all others on time). We consider in the following table all ways that (a) any combination of 3 individuals are late, the couple is on-time, and the remaining individual is on-time: Couple Single #1 Single #2 Single #3 Single #4 Probability OnTime Late Late Late OnTime 0.6(0.2)^3(0.8) OnTime Late Late OnTime Late 0.6(0.2)^3(0.8) OnTime Late OnTime Late Late 0.6(0.2)^3(0.8) OnTime OnTime Late Late Late 0.6(0.2)^3(0.8) This part of the table can consist of any arrangement of Late, Late, Late, OnTime. There are 4!/3!1! = 4 such arrangements. Like the Mississippi problem in PowerPoint #1. So the probability that 3 people arrive late is P(X = 3) = 4!/3!1!(0.6)(0.2)^3(0.8)^1 + 4!/1!3!(0.4)(0.2)^1(0.8)^3 Find: a. Find the chance that everyone is on time or P(X = 0) b. Find the chance that exactly four people are late or P(X = 4). Hint: two cases: 1) couple is on-time and all singles are late. Note: only one way for this to happen. 2) couple is late and any two singles are late. Note: multiple ways for this to happen. How many?
Adi S.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD