19b **Hypothesis Testing on College Students' Interest in Election Results**Among college students, the proportion \( p \) of those who say they’re interested in their congressional district’s election results has traditionally been 65%. After a series of debates on campuses, a political scientist claims that the proportion has increased. A poll is commissioned, and out of a random sample of 255 college students, 169 express interest in their district’s election results. We will determine if there is enough evidence to support the political scientist’s claim at the 0.05 level of significance.**Perform a One-Tailed Test:**1. **State the Hypotheses:** - Null Hypothesis (\( H_0 \)): \( p = 0.65 \) - Alternative Hypothesis (\( H_a \)): \( p > 0.65 \)2. **Calculate the Test Statistic:** - Use the formula for the test statistic in hypothesis testing for proportions.3. **Find the p-value:** - Round to three or more decimal places.4. **Decision Making:** - Compare the p-value to the significance level (0.05).**Tasks:**- **(d) Find the p-value.** - Input box for numerical entry.- **(e) Conclusion:** - Is there enough evidence to support the claim that the proportion is more than 65%? - **Options:** - Yes - NoNote: For computational steps and formulas, consult statistical resources or formula lists.---This activity helps students understand how to apply hypothesis testing to real-world scenarios using college student interest as a case study. The process encourages critical thinking and comprehension of statistical concepts such as p-values and significance levels.

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Among college students, the proportion p who say they're interested in their congressional district's election results has traditionally been 65%. After a series of debates on campuses, a political scientist claims that the proportion of college students who say they're interested in their district's election results is more than 65%. A poll is commissioned, and 169 out of a random sample of 255 college students say they're interested in their district's election results. Is there enough evidence to support the political scientist's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (d) Find the p-value. (Round to three or more decimal places.) (e) Is there enough evidence to support the political scientist's claim that the proportion of college students who say they're interested in their district's election results is more than 65%? OYes O No H X 5 O ☐☐ S 2 06 P □<口