(b) p. – Pr sample statistic p. - Pf- = -0.4 is a possible sample statistic. Five possible p-values are given below. Select the most accurate p-value for the O p-value = 0.832 O p-value = 0.400 O p-value = 0.075

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**Influencing Voters: Is There a Difference in Effectiveness between a Phone Call and a Flyer?**

A study is conducted to investigate which method, a recorded phone call or a flyer, is more effective in persuading voters to vote for a particular candidate. Since in this case, the alternative hypothesis is not specified in a particular direction, the hypotheses are:

\( H_0: p_c = p_f \) vs \( H_a: p_c \neq p_f \).

A randomization distribution for \( \hat{p}_c - \hat{p}_f \) using \( n = 1000 \) for this test is shown below.

**Graph Description:**

The graph is a histogram representing the randomization distribution of the difference in proportions (\( \hat{p}_c - \hat{p}_f \)) between phone calls and flyers. The x-axis is labeled "Difference" and ranges from approximately -0.6 to 0.6. The y-axis is labeled "Frequency" and shows frequencies ranging from 0 to 120. 

Most of the distribution is centered around 0, indicating that most random samples show little to no difference in effectiveness between phone calls and flyers. The bars rise to a peak near 0 and taper off symmetrically on either side, forming a bell-shaped curve.
Transcribed Image Text:**Current Attempt in Progress** **Influencing Voters: Is There a Difference in Effectiveness between a Phone Call and a Flyer?** A study is conducted to investigate which method, a recorded phone call or a flyer, is more effective in persuading voters to vote for a particular candidate. Since in this case, the alternative hypothesis is not specified in a particular direction, the hypotheses are: \( H_0: p_c = p_f \) vs \( H_a: p_c \neq p_f \). A randomization distribution for \( \hat{p}_c - \hat{p}_f \) using \( n = 1000 \) for this test is shown below. **Graph Description:** The graph is a histogram representing the randomization distribution of the difference in proportions (\( \hat{p}_c - \hat{p}_f \)) between phone calls and flyers. The x-axis is labeled "Difference" and ranges from approximately -0.6 to 0.6. The y-axis is labeled "Frequency" and shows frequencies ranging from 0 to 120. Most of the distribution is centered around 0, indicating that most random samples show little to no difference in effectiveness between phone calls and flyers. The bars rise to a peak near 0 and taper off symmetrically on either side, forming a bell-shaped curve.
(b) \(\hat{p}_c - \hat{p}_f = -0.4\) is a possible sample statistic. Five possible p-values are given below. Select the most accurate p-value for the sample statistic \(\hat{p}_c - \hat{p}_f\).

- ○ p-value = 0.832
- ○ p-value = 0.400
- ○ p-value = 0.075
- ○ p-value = 0.14
- ○ p-value = 0.007

Below the options, there are buttons labeled "eTextbook and Media" and "Hint".
Transcribed Image Text:(b) \(\hat{p}_c - \hat{p}_f = -0.4\) is a possible sample statistic. Five possible p-values are given below. Select the most accurate p-value for the sample statistic \(\hat{p}_c - \hat{p}_f\). - ○ p-value = 0.832 - ○ p-value = 0.400 - ○ p-value = 0.075 - ○ p-value = 0.14 - ○ p-value = 0.007 Below the options, there are buttons labeled "eTextbook and Media" and "Hint".
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