A university carried out a study that gives the age distribution for a representative sample of 375 Texas Lottery players. Age Group Frequency from 18 to 24 7 from 25 to 34 33 from 35 to 44 33 from 45 to 54 60 from 55 to 64 107 at least 65 135 Total 375 Using data from the U.S. Census Bureau† for 2014, the age distribution of adults in Texas was 14% between the age of 18 and 24, 20% between the age of 25 and 34, 19% between the age of 35 and 44, 18% between the age of 45 and 54, 14% between the age of 55 and 64, and 15% aged 65 or older. Is it reasonable to conclude that one or more of the age groups buys a disproportionate share of Texas Lottery tickets? Use a chi-square goodness-of-fit test with ? = 0.05. (Hint: See Example 12.2.) Let p1, p2, p3, p4, p5, and p6 be the proportions of lottery ticket purchasers in the different age groups. State the null and alternative hypotheses. H0: p1 = 14, p2 = 20, p3 = 19, p4 = 18, p5 = 14, p6 = 15 Ha: H0 is not true.H0: p1 = p2 = p3 = p4 = p5 = p6 = 17 Ha: H0 is not true. H0: p1 = 0.14, p2 = 0.2, p3 = 0.19, p4 = 0.18, p5 = 0.14, p6 = 0.15 Ha: H0 is not true.H0: p1 = p2 = p3 = p4 = p5 = p6 = 0.17 Ha: H0 is not true.H0: p1 = 52.5, p2 = 75, p3 = 71.25, p4 = 67.5, p5 = 52.5, p6 = 56.25 Ha: H0 is not true. Calculate the test statistic. (Round your answer to two decimal places.) ?2 = Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value = What can you conclude? A. Reject H0. We have convincing evidence that one or more of the age groups buys a disproportionate share of Texas Lottery tickets. B. Reject H0. We do not have convincing evidence that one or more of the age groups buys a disproportionate share of Texas Lottery tickets. C. Fail to reject H0. We have convincing evidence that one or more of the age groups buys a disproportionate share of Texas Lottery tickets. D. Fail to reject H0. We do not have convincing evidence that one or more of the age groups buys a disproportionate share of Texas Lottery tickets.

A university carried out a study that gives the age distribution for a representative sample of 375 Texas Lottery players. Age Group Frequency from 18 to 24 7 from 25 to 34 33 from 35 to 44 33 from 45 to 54 60 from 55 to 64 107 at least 65 135 Total 375 Using data from the U.S. Census Bureau† for 2014, the age distribution of adults in Texas was 14% between the age of 18 and 24, 20% between the age of 25 and 34, 19% between the age of 35 and 44, 18% between the age of 45 and 54, 14% between the age of 55 and 64, and 15% aged 65 or older. Is it reasonable to conclude that one or more of the age groups buys a disproportionate share of Texas Lottery tickets? Use a chi-square goodness-of-fit test with ? = 0.05. (Hint: See Example 12.2.) Let p1, p2, p3, p4, p5, and p6 be the proportions of lottery ticket purchasers in the different age groups. State the null and alternative hypotheses. H0: p1 = 14, p2 = 20, p3 = 19, p4 = 18, p5 = 14, p6 = 15 Ha: H0 is not true.H0: p1 = p2 = p3 = p4 = p5 = p6 = 17 Ha: H0 is not true. H0: p1 = 0.14, p2 = 0.2, p3 = 0.19, p4 = 0.18, p5 = 0.14, p6 = 0.15 Ha: H0 is not true.H0: p1 = p2 = p3 = p4 = p5 = p6 = 0.17 Ha: H0 is not true.H0: p1 = 52.5, p2 = 75, p3 = 71.25, p4 = 67.5, p5 = 52.5, p6 = 56.25 Ha: H0 is not true. Calculate the test statistic. (Round your answer to two decimal places.) ?2 = Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value = What can you conclude? A. Reject H0. We have convincing evidence that one or more of the age groups buys a disproportionate share of Texas Lottery tickets. B. Reject H0. We do not have convincing evidence that one or more of the age groups buys a disproportionate share of Texas Lottery tickets. C. Fail to reject H0. We have convincing evidence that one or more of the age groups buys a disproportionate share of Texas Lottery tickets. D. Fail to reject H0. We do not have convincing evidence that one or more of the age groups buys a disproportionate share of Texas Lottery tickets.

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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Question

A university carried out a study that gives the age distribution for a representative sample of 375 Texas Lottery players.

Age Group	Frequency
from 18 to 24	7
from 25 to 34	33
from 35 to 44	33
from 45 to 54	60
from 55 to 64	107
at least 65	135
Total	375

Using data from the U.S. Census Bureau† for 2014, the age distribution of adults in Texas was 14% between the age of 18 and 24, 20% between the age of 25 and 34, 19% between the age of 35 and 44, 18% between the age of 45 and 54, 14% between the age of 55 and 64, and 15% aged 65 or older. Is it reasonable to conclude that one or more of the age groups buys a disproportionate share of Texas Lottery tickets? Use a chi-square goodness-of-fit test with

? = 0.05.

(Hint: See Example 12.2.)

Let p₁, p₂, p₃, p₄, p₅, and p₆ be the proportions of lottery ticket purchasers in the different age groups.

State the null and alternative hypotheses.

H₀: p₁ = 14, p₂ = 20, p₃ = 19, p₄ = 18, p₅ = 14, p₆ = 15
H_a: H₀ is not true.H₀: p₁ = p₂ = p₃ = p₄ = p₅ = p₆ = 17
H_a: H₀ is not true. H₀: p₁ = 0.14, p₂ = 0.2, p₃ = 0.19, p₄ = 0.18, p₅ = 0.14, p₆ = 0.15
H_a: H₀ is not true.H₀: p₁ = p₂ = p₃ = p₄ = p₅ = p₆ = 0.17
H_a: H₀ is not true.H₀: p₁ = 52.5, p₂ = 75, p₃ = 71.25, p₄ = 67.5, p₅ = 52.5, p₆ = 56.25
H_a: H₀ is not true.

Calculate the test statistic. (Round your answer to two decimal places.)

?² =

Use technology to calculate the P-value. (Round your answer to four decimal places.)

P-value =

What can you conclude?

A. Reject H₀. We have convincing evidence that one or more of the age groups buys a disproportionate share of Texas Lottery tickets.

B. Reject H₀. We do not have convincing evidence that one or more of the age groups buys a disproportionate share of Texas Lottery tickets.

C. Fail to reject H₀. We have convincing evidence that one or more of the age groups buys a disproportionate share of Texas Lottery tickets.

D. Fail to reject H₀. We do not have convincing evidence that one or more of the age groups buys a disproportionate share of Texas Lottery tickets.

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