You might think that if you looked at the first digit in randomly selected numbers that thedistribution would be uniform. Actually, it is not! Simon Newcomb, and later Frank Benford, bothdiscovered that the digits occur according to the following distribution.DigitProbability10.30120.17630.12540.09750.0790.06770.05880.0519.0.046The IRS currently uses Benford's Law to detect fraudulent tax data. Suppose you work for the IRSand are investigating an individual suspected of embezzling. Use a =checks to a supposed company are as follows:= 0.01. The first digit of 190ObservedDigitFrequency15222332542352411758199.8 a. Choose the appropriate null hypothesis for this test.O Ho: The individual has been caught embezzling.O Ho: P1 # p2 p3 + p4 # P5 p6 + p7 # p8 p9O Ho: At least one proportion is different.О Но: р1 — р2 — рз — р4Ho:P10.301, p2= 0.176, p30.125, P40.097, p5= 0.079, p6 =0.067, P70.058, p8 = 0.051, pg0.046b. What is the value of the test statistic. Round answer to at least 4 decimal places.c. What is the P-Value? Round answer to at least 4 decimal places.P-Valued. What is your decision?Fail to reject the Null HypothesisReject the Null Hypothesise. Use the decision in part d to make a conclusion about whether the individual is likely to haveembezzled.O The evidence shows that the individual may be guilty of embezzling.O There is no evidence that the individual is embezzling.

The observed frequency is given and the IRS currently uses Benford's Law to detect fraudulent tax…

Answered: a. Choose the appropriate null…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You are conducting a study to see if the accuracy rate for fingerprint identification is significantly less than 0.69. If your null and alternative hypothesis are: Ho:p > 0.69 Ha:p < 0.69 Then the test is: two tailed O right tailed left tailed
Suppose that in a random selection of 100 colored candies, 21% of them are blue. The candy company claims that the percentage of blue candies is equal to 24%. Use a 0.01 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. H0: p=0.24 H1: p<0.24 B. H0: p=0.24 H1: p≠0.24 C. H0: p=0.24 H1: p>0.24 D. H0: p≠0.24 H1: p=
Show your work, please.
6
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n a study of 817 randomly selected medical malpractice lawsuits, it was found that 484 of them were dropped or dismissed. Use a 0.05 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed. Which of the following is the hypothesis test to be conducted? A. Upper H 0 : p less than 0.5 Upper H 1 : p equals 0.5 B. Upper H 0 : p equals 0.5 Upper H 1 : p greater than 0.5 Your answer is correct. C. Upper H 0 : p equals 0.5 Upper H 1 : p less than 0.5 D. Upper H 0 : p equals 0.5 Upper H 1 : p not equals 0.5 E. Upper H 0 : p not equals 0.5 Upper H 1 : p equals 0.5 F. Upper H 0 : p greater than 0.5 Upper H 1 : p equals 0.5 What is the test statistic? z = p-value = conclusion
K Consider a sample of 49 football games, where 30 of them were won by the home team. Use a 0.10 significance level to test the claim that the probability that the home team wins is greater than one-half. Ⓡ@ 2 Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. Ho: p=0.5 H₁: p>0.5 W S OB. Ho: p=0.5 H₁: p0.5 H₁: p=0.5 H Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is 1.57 (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. X The P-value for this hypothesis test is (Round to three decimal places as needed.) 3 RO Sve E D C $ 4 R F % 5 V T G A 6 B MacBook Air Y H 7 N U J * 8 DII I M ( 9 K D O O L F10 command P > . Clear all : ; I { + [ option ? I Check answer 1 1 delete ū
Passed Failed O White 15 17 Results from a civil servant exam are shown in the table to the right. Is there sufficient evidence to support the claim that the results from the test are discriminatory? Use a 0.05 significance level. candidates Minority candidates 10 25 Determine the null and alternative hypotheses. O A. Ho: A white candidate is more likely to pass the test than a minority candidate. H,: A white candidate is not more likely to pass the test than a minority candidate. O B. Ho: White and minority candidates do not have the same chance of passing the test. H1: White and minority candidates have the same chance of passing the test. OC. Ho: White and minority candidates have the same chance of passing the test. H,: White and minority candidates do not have the same chance of passing the test. O D. Ho: A white candidate is not more likely to pass the test than a minority candidate. H1: A white candidate is more likely to pass the test than a minority candidate. Determine the…
2
The data below show sport preference and age of participant from a random sample of members of a sports club. Is there evidence to suggest that they are related? Frequencies of Sport Preference and Age Tennis Swimming Basketball 18-25 97 86 72 26-30 91 78 54 31-40 68 72 50 Over 40 67 58 43 What can be concluded at the a = 0.10 significance level?
B. Identify the test statistic Z=___ C. Identify the P-value. P-value=___ D. What is the conclusion based on the hypothesis test? The P-value is (greater than/less than) the significance level of α=0.01,so (reject/ fail to reject) the null hypothesis. There is (suffiecient/ insufficient) evidence to support the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Test the claim by constructing an appropriate confidence interval. The 90% confidence interval is ___<( p1-p2)<___ E. Because the confidence interval limits (do not include/include) 0, it appears that the two proportions are (equal/not equal) Because the confidence interval limits include (only negative/ only positive/ negative and positive) values, it appears that the proportion of people over 55 who dream in black and white is (greater than/less than/ not significantly different from) the proportion for those under 25. F. An explanation…
A store owner wanted to determine if more than 5% of customers made a purchase after he sent out a text. He sent out 300 texts to 300 randomly selected customers. Out of those 300, 17 made purchases. Is this evidence that if he sent out texts to all of his customers more than 5% would make purchases? What is the appropriate null and alternative hypothesis? Ho: p= 0.05 Ha: p> 0.05 O Ho: phat = 0.05 Ha: phat > 0.05 O Ho: p= 0.056 Ha: p > 0.056 O Ho: mu = 0.05 Hla: mu > 0.05

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