Please show work on paper In 1980 and again in 2010, a Gallup poll asked a random sample of 1000 US citizens “Are you in favor of the death penalty for a person convicted of murder?” In 1980, the proportion saying yes was 0.66. In 2010, it was 0.64. Does this data provide evidence that the proportion of US citizens favoring the death penalty was higher in 1980 than it was in 2010? Use \( p_1 \) for the proportion in 1980 and \( p_2 \) for the proportion in 2010.(1) State the null and alternative hypotheses:(2) What is the sample statistic?(3) A randomization distribution assuming the null hypothesis is true is shown. Which of the following is closest to the p-value?\[ 0.001, \quad 0.05, \quad 0.20, \quad 0.5 \]**Diagram Explanation:**The diagram shows a randomization dot plot of \( p_1 - p_2 \) under the null hypothesis \( p_1 = p_2 \). The x-axis represents the difference in proportions, while the y-axis shows the frequency of each difference occurring under the null hypothesis. The distribution is approximately normal, centered around 0. The tails indicate the extremes of the distribution, useful for determining the p-value by seeing how extreme the observed statistic is under the null hypothesis. Additional details from the plot:- The number of samples is 2000.- The mean of the distribution is approximately \( -0.002 \).- The standard error (std. err.) is \( 0.021 \).

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In 1980 and again in 2010, a Gallup poll asked a random sample of 1000 US citizens "Are you in favor of the death penalty for a person convicted of murder?" In 1980, the proportion saying yes was 0.66. In 2010, it was 0.64. Does this data provide evidence that the proportion of US citizens favoring the death penalty was higher in 1980 than it was in 2010? Use pi for the proportion in 1980 and p2 for the proportion in 2010. (1) State the null and alternative hypotheses: (2) What is the sample statistic? (3) A randomization distribution assuming the null hypothesis is true is shown. Which of the following is closest to the p-value? Randomization Dotplot of -2 Null Hypothesis: p1=p2 Left Tail Two-Tail Right Tail 70 60 50 40 30 20 10 -0.06 0.001, 0.05, 0.20, 0.5 -0.04 -0.02 null-0 0.02 0.04 comples-1000 mean--0.001 at dev -0.021 3 0.06

In 1980 and again in 2010, a Gallup poll asked a random sample of 1000 US citizens "Are you in favor of the death penalty for a person convicted of murder?" In 1980, the proportion saying yes was 0.66. In 2010, it was 0.64. Does this data provide evidence that the proportion of US citizens favoring the death penalty was higher in 1980 than it was in 2010? Use pi for the proportion in 1980 and p2 for the proportion in 2010. (1) State the null and alternative hypotheses: (2) What is the sample statistic? (3) A randomization distribution assuming the null hypothesis is true is shown. Which of the following is closest to the p-value? Randomization Dotplot of -2 Null Hypothesis: p1=p2 Left Tail Two-Tail Right Tail 70 60 50 40 30 20 10 -0.06 0.001, 0.05, 0.20, 0.5 -0.04 -0.02 null-0 0.02 0.04 comples-1000 mean--0.001 at dev -0.021 3 0.06

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

Please show work on paper

In 1980 and again in 2010, a Gallup poll asked a random sample of 1000 US citizens “Are you in favor of the death penalty for a person convicted of murder?” In 1980, the proportion saying yes was 0.66. In 2010, it was 0.64. Does this data provide evidence that the proportion of US citizens favoring the death penalty was higher in 1980 than it was in 2010? Use \( p_1 \) for the proportion in 1980 and \( p_2 \) for the proportion in 2010.

(1) State the null and alternative hypotheses:

(2) What is the sample statistic?

(3) A randomization distribution assuming the null hypothesis is true is shown. Which of the following is closest to the p-value?

\[ 0.001, \quad 0.05, \quad 0.20, \quad 0.5 \]

**Diagram Explanation:**

The diagram shows a randomization dot plot of \( p_1 - p_2 \) under the null hypothesis \( p_1 = p_2 \). The x-axis represents the difference in proportions, while the y-axis shows the frequency of each difference occurring under the null hypothesis. The distribution is approximately normal, centered around 0. The tails indicate the extremes of the distribution, useful for determining the p-value by seeing how extreme the observed statistic is under the null hypothesis.

Additional details from the plot:
- The number of samples is 2000.
- The mean of the distribution is approximately \( -0.002 \).
- The standard error (std. err.) is \( 0.021 \).

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