Question

Secure https//www.mathxt.com/Student/PlayerHomework.aspx?homew orkld-472331033&questionld-1&flushed-false&cld-4920564&centerwin Math 140 - Adriano Zambom Ariana Garcia &1 3/29/18 1:37 A Homework: Section 8.2: Interpreting p-values Sa ple alsc Score: 0.83 of 1 pt 4 of 23 (23 complete) HW Score: 99.28%, 22.83 of 23 t is the8.1.20 i Queston Help | researchers are testing people to see if the rate of use of seat belts has changed from a previous value of 92% Suppose that in a random sample of 500 people, the researchers see that 474 have their seat belt fastened a About how many people out of 500 would the researchers expect to be using their seat belts if the proportion who use . The researchers observe 474 people out of a random sample of 500 using their seat belts. The p-valye is 0021. Explain the meaning of the pvalue a 460 people (Type a whole number.) w do you hat is the seat belts is unchanged? 0-Test of b. The probability of getting 474 or more out of 500 people OR 446 or tewer out of 500 people, assuming that the population propotion092, is ttps://onlineCO or instance, we we conduct a sur approval are as f the p value about 2% Calculating Question is complete Tap on the red indicators to see incorrect answers All parts showing Hypothesis ? est rroponor-stat nex utorial AP 1:37 0

I got the part b wrong and I'm wondering how they got the answer "446". I am confused and would love a step by step answer please and thank you :)

Answer 1

p-value is the probability of finding observed value or beyond under the null hypothesis. Here, observed value is 474. So, we can compute the p-value and interpret it.

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Complete solution is given in attached picture.

PFA.