A concerned group of citizens wanted to know if the proportion of armed robberies in Texas was different in 2011 than in 2010. Their research showed that of the 113,231 violent crimes in Texas in 2010, 7,622 of them were armed robberies. In 2011, 7,439 of the 104,873 violent crimes were in the armed robbery category. Test at a 5% significance level. ### a) The null and alternative hypothesis would be:- \( H_0 \): \( p_{2010} = p_{2011} \)- \( H_1 \): \( p_{2010} \neq p_{2011} \)### b) Determine the test statistic. Round to two decimals.\[ z = \_\_\_\_\_\_ \]### c) Find the p-value and round to 4 decimals.\[ p = \_\_\_\_\_ \]### d) Make a decision.- \( \circ \) Fail to reject the null hypothesis- \( \circ \) Reject the null hypothesis### e) Write the conclusion.- \( \circ \) There is sufficient evidence to support the claim that the proportion of armed robberies is different in 2011 than 2010.- \( \circ \) There is not sufficient evidence to support the claim that the proportion of armed robberies is different in 2011 than 2010.---This setup explains the structure of a hypothesis test for comparing the proportions of armed robberies in two different years. It helps users understand the hypothesis, calculation steps, and possible conclusions based on the statistical test results. This explanation is fundamental to educational material focused on hypothesis testing and statistical inference.

It is given that-In 2010, 7622 of 113231 violent crimes in Texas were armed robberies.In 2011, 7439…

Answered: A concerned group of citizens wanted to…

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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Suppose that in random selection of 100 colored candies, 20% of them are blue. The candy company claims that the percentage of blue candies is equal to 26%. Use a 0.01 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. OA. Ho: P# 0.26 H₁: p= 0.26 B. Ho: p=0.26 H₁:p # 0.26 OC. Ho: p= 0.26 H₁: p > 0.26 O D. Ho: p= 0.26 H₁: p<0.26 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) ←
For a certain year, a study reports that the percentage of college students using credit cards was 87%. A college dean of student services feels that this is too high for her university, so she randomly selects 225 students and finds that 190 of them use credit cards. At the .01 significance level, is she correct about her university?
Suppose 239 subjects are treated with a drug that is used to treat pain and 52 of them developed nausea. Use a 0.10 significance level to test the claim that more than 20% of users develop nausea. Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. Ho: p=0.20 H₁ :p #0.20 B. Ho: p=0.20 H₁: p > 0.20 C. Ho: p=0.20 H₁: p0.20 H₁: p=0.20 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.)
Suppose that you have to decide if the mean of the light bulbs last longer than 150 hours. You choose a random sample of 14 bulbs of each brand. What decision should you make at the 5% significance level (alpha = 0.05)? 128 189 139 148 186 141 163 101 195 142 174 114 196 191 a. z = -2.576 b. t = +1.796 c. t = + 1.771 d. z = + 1.796
Suppose 242 subjects are treated with a drug that is used to treat pain and 50 of them developed nausea. Use a 0.10 significance level to test the claim that more than 20% of users develop nausea. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p=0.20 H₁: p0.20 H₁: p=0.20 OC. Ho: p=0.20 H₁: p>0.20 O D. Ho: p=0.20 H₁: p=0.20
In a random sample of 925 plain M&M's, 19% were blue. Use a 0.01 significance level to test the claim of Mars, Inc. that 24% of its plain M&M candies are blue. a. Define the parameter A. p = The proportion of all M&M's that are blue B. mu = The proportion of all M&M's that are blue C. mu = The mean number of all M&M's that are blue D. p = The proportion of all M&M's that are not blue b. State the null and alternative hypotheses A. Upper H 0 : p greater than 0.24 Upper H 1 : p equals 0.24 B. Upper H 0 : p equals 0.19 Upper H 1 : p not equals 0.19 C. Upper H 0 : p equals 0.24 Upper H 1 : p not equals 0.24 D. Upper H 0 : mu not equals 0.24 Upper H 1 : mu equals 0.24 c. Calculate the test statistic. Which of these options is closest to the test statistic? A. negative 4.00 B. negative 3.65 C.…
Only c and d
Only 10% of registered voters voted in the last election. Will voter participation increase for the upcoming election? Of the 399 randomly selected registered voters surveyed, 52 of them will vote in the upcoming election. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use Select an answer
A null hypothesis is that the average blood pressure for adult is 70. For a sample of 60 adults, the average blood pressure is 71.8. A significance test is done, and the p-value is 0.20 what is the most appropriate conclusion? A. Reject the hypothesis that the population averages 70 B. Fail to reject the hypothesis that the population averages 70 O C. Reject all hypothesis that the sample average is 70 D. None of these. E. Conclude that the population average is 71.8
A store owner claims that the weight of their LPG mini-tanks are exactly 6-kgs as prescribed. Test the claim of the store owner using a random sample of 15 mini LPG tanks. Use a significance level of α = 0.10.The table below summarizes the weight (in kgs) of the 15 samples of mini LPG tanks. a. This problem is a test on what population parameter? b. What are the Significance level and Type of test c. What is the Critical Value d. What are the MEAN and STANDARD DEVIATION e. What is the Standard test statistic?

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