Using the 5-step model of hypothesis testing

| March 14, 2016

Question
1.

. Using the 5-step model of hypothesis testing, conduct a Chi Square test of significance to determine if a relationship between Class and Trust exists (NOTE: ? = 0.05) .

b. Using your Chi Square value from a, compute Cramer’s V and discuss the strength of the association between Class and Trust.

c. Calculate Lambda for Class and Trust and discuss the predicting power of Class on Trust.

Class

Trust

Freshman

Sophomore

Junior

Senior

Grad.Student

Total

Need to be careful

6

2

2

4

0

14

Most people can be trusted

2

2

4

1

2

11

Total

8

2.

Suppose that a lottery ticket has probability p of being a winning ticket, independently of other tickets. A gambler buys 3 tickets, hoping this will triple the chance of having at least one winning ticket. (a) What is the distribution of how many of the 3 tickets are winning tickets?

(b) Show that the probability that at least 1 of the 3 tickets is winning is 3p?3p^2 +p^3 , in two different ways: by using inclusion-exclusion, and by taking the complement of the desired event and then using the PMF of a certain named distribution.

(c) Show that the gambler’s chances of having at least one winning ticket do not quite triple but they do have approximately triple if p is small.

3

study by Peter D. Hart Research Associates for the Nasdaq Stock Market revealed that 43% of all American adults are stockholders. In addition, the study determined that 75% of all American adult stockholders have some college education. Suppose 38% of all American adults have some college education. An American adult is randomly selected.

a. What is the probability that the adult does not own stock?
b. What is the probability that the adult owns stock and has some college education?
c. What is the probability that the adult owns stock or has some college education?
d. What is the probability that the adult has neither some college education nor owns stock?
e. What is the probability that the adult does not own stock or has no college education?
f. What is the probability that the adult has some college education and owns no stock?

4

Are you finances buying habits medical records and phonecalls really private? A employers privacy real concern for manyadults is that computers and the internet are reducing privacy. Asurvey conducted by peter d hart research associates for the shellpoll was reported in USA today according to the survey 37% ofadults are concerned that employers are monitoring phone calls usethe binomial distribution formula to calculate the probabilitythat

(A) Out of 5 adults none isconcerned that employers are monitoring phone calls

(B) Out of 5 adults all areconcerned that are monitoring phone calls

(C) Out of 5 adults exactly 3are concerned that employers are monitoring phone calls

5

Are your finances, buying habits, medical records, and phone calls really private? A real concern for many adults is that computers and the Internet are reducing privacy. A survey conducted by Peter D. Hart Research Associates for the Shell Poll was reported in USA Today. According to the survey, 49% of adults are concerned that employers are monitoring phone calls. Use the binomial distribution formula to calculate the probability of the following.

(a) Out of five adults, none is concerned that employers are monitoring phone calls. (Round your answer to three decimal places.)

(b) Out of five adults, all are concerned that employers are monitoring phone calls. (Round your answer to three decimal places.)

(c) Out of five adults, exactly three are concerned that employers are monitoring phone calls. (Round your answer to three decimal places.)

6

Are your finances, buying habits, medical records, and phone calls really private? A real concern for many adults is that computers and the Internet are reducing privacy. A survey conducted by Peter D. Hart Research Associates for the Shell Poll was reported in USA Today. According to the survey, 41%of adults are concerned that employers are monitoring phone calls. Use the binomial distribution formula to calculate the probability of the following.

(a) Out of five adults, none is concerned that employers are monitoring phone calls. (Round your answer to three decimal places.)

(b) Out of five adults, all are concerned that employers are monitoring phone calls. (Round your answer to three decimal places.)

(c) Out of five adults, exactly three are concerned that employers are monitoring phone calls. (Round your answer to three decimal places.)

7 recent poll states that 40% of all American adults are overweight. If 4 adults are selected at random, what is the probability (correct to 3 decimal places) that at least one adult is overweight

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