A study by Allstate Insurance Co. finds that 82% of teenagers have used cell phones while driving (The Wall Street Journal, May 5, 2010). In October 2010, Massachusetts enacted a law that forbids cell phone use by drivers under the age of 18. A policy analyst would like to determine whether the law has decreased the proportion of drivers under the age of 18 who use a cell phone. (You may find it useful to reference the appropriate table: z table or t table) a. Select the null and the alternative hypotheses to test the policy analyst’s objective. multiple choice 1 H0: p = 0.82; HA: p ≠ 0.82 H0: p ≤ 0.82; HA: p > 0.82 H0: p ≥ 0.82; HA: p < 0.82 b-1. Suppose a sample of 200 drivers under the age of 18 results in 150 who still use a cell phone while driving. What is the value of the test statistic? (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) b-2. Find the p-value. multiple choice 2 p-value < 0.01 0.01 ≤ p-value < 0.025 0.025 ≤ p-value < 0.05 0.05 ≤ p-value < 0.10 p-value ≥ 0.10 c-1. At α = 0.05, do you reject the null hypothesis? multiple choice 3 Yes, since the p-value is greater than significance level. Yes, since the p-value is smaller than significance level. No, since the p-value is greater than significance level. No, since the p-value is smaller than significance level. c-2. What is the conclusion? multiple choice 4 The law has been effective since the p-value is less than the significance level. The law has not been effective since the p-value is less than the significance level. The law has been effective since the p-value is greater than the significance level. The law has not been effective since the p-value is greater than the significance level.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
A study by Allstate Insurance Co. finds that 82% of teenagers have used cell phones while driving (The Wall Street Journal, May 5, 2010). In October 2010, Massachusetts enacted a law that forbids cell phone use by drivers under the age of 18. A policy analyst would like to determine whether the law has decreased the proportion of drivers under the age of 18 who use a cell phone. (You may find it useful to reference the appropriate table: z table or t table)
a. Select the null and the alternative hypotheses to test the policy analyst’s objective.
multiple choice 1
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H0: p = 0.82; HA: p ≠ 0.82
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H0: p ≤ 0.82; HA: p > 0.82
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H0: p ≥ 0.82; HA: p < 0.82
b-1. Suppose a sample of 200 drivers under the age of 18 results in 150 who still use a cell phone while driving. What is the value of the test statistic? (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)
b-2. Find the p-value.
multiple choice 2
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p-value < 0.01
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0.01 ≤ p-value < 0.025
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0.025 ≤ p-value < 0.05
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0.05 ≤ p-value < 0.10
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p-value ≥ 0.10
c-1. At α = 0.05, do you reject the null hypothesis?
multiple choice 3
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Yes, since the p-value is greater than significance level.
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Yes, since the p-value is smaller than significance level.
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No, since the p-value is greater than significance level.
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No, since the p-value is smaller than significance level.
c-2. What is the conclusion?
multiple choice 4
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The law has been effective since the p-value is less than the significance level.
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The law has not been effective since the p-value is less than the significance level.
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The law has been effective since the p-value is greater than the significance level.
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The law has not been effective since the p-value is greater than the significance level.
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