**Answer the questions below.**(a) An experiment involves 32 participants. From these, a group of 4 participants is to be tested under a special condition. How many groups of 4 participants are possible?(b) A company has 30 salespeople. A board member at the company asks for a list of the top 4 salespeople, ranked in order of effectiveness. How many such rankings are possible?

Given,total no.of participants=32

Answered: (a) An experiment involves 32…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Childhood obesity: A national health survey weighed a sample of 535 boys aged 6 - 11 and found that 83 of them were overweight. They weighed a sample of 474 girls aged 6 - 11 and found that 70 of them were overweight. Can you conclude that the proportion of boys who are overweight is greater than the proportion of girls who are overweight? Let p1 denote the proportion of boys who are overweight and let p2 denote the proportion of girls who are overweight. Use the =α0.05 level of significance and the critical value method with the table. (a) State the appropriate null and alternate hypotheses. (b) Compute the value of the test statistic. (c) State a conclusion at the =α0.05 level of significance.
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Taste test. Some people claim that they can tell the difference between a diet soda and a regular soda in the first sip. A researcher wanting to test this claim randomly sampled 80 such people. He then filled 80 plain white cups with soda, half diet and half regular through random assignmentand asked each person to take one sip from their cup and identify the soda as diet or regular. 48 participants correctly identified the sodaIf the research question is "Are these people any worse or better than random at determining whether the soda is diet or regular?" then what is the corresponding p-value?
just the last part, thank you!

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