Question

Drive Safe 1 Homework Unanswered Due in 5 hours In some states, the law requires drivers to turn on their headlights when driving in the rain. A highway patrol officer believes that less than one-quarter of all drivers follow this rule. As a test, he randomly samples 200 cars driving in the rain and counts the number whose headlights are turned on. He finds this number to be 41. Does the officer have enough evidence to support his belief? Express his research question in terms of two competing hypotheses. (NOTE: This question has 4 parts that follow: Drive Safe 2, Drive safe 3, Drive Safe 4.) A Null hypothesis: p 0.25; Alternative hypothesis: p 0.75 В Null hypothesis: p 0.75; Alternative hypothesis: p > 0.25 O C Null hypothesis: p 0.25; Alternative hypothesis: p > 0.25 D Null hypothesis: p 0.25; Alternative hypothesis: p < 0.25 E Null hypothesis: p < 0.25; Alternative hypothesis: p 0.25

Answer 1

Below are the null and alternative Hypothesis,
Null Hypothesis: p = 0.25
Alternative Hypothesis: p < 0.25

Test statistic,
z = (pcap - p)/sqrt(p*(1-p)/n)
z = (0.205 - 0.25)/sqrt(0.25*(1-0.25)/200)
z = -1.4697

P-value Approach
P-value = 0.0708

Option A