Question

Problem Valur por Problem Score Attempts Remain 1 point) An in c e company states that at least of its claims are sented within 30 days. A consumer group selected a found that of them were within 30 days. Does the consumer group have evidence to disbelieve the ndom sample of 66 of the company's came to test this statement They company's 1. Winte the hypotheses to test the rate of cams settled within 30 days is less than 85% H. The proportion of claims settled within 30 days is equal to 85% HA The proportion of claims settied within 30 days is less than 85% 2. To setup a simulation for this situation we let each cambe represented with a card. We take 100 cards 85 black cards represent claims that we settled within 30 days and 15 red cards represent claims that take longer than 30 days to settle Shuttle the cards and draw cards representing the random sample of cams Calculate the proportion of black cards in the simple and Repeat 10,000 times and plot the resulting sample proportions The p-value will be the proportion of simulations where less than or equal to 8333 3. Use the One Proportion Resamping test app embedded here to perform the simulation Draw at east 3000 samples Report your p-value from the app here, rounded to four decimal places Use this tema ink to the One Proportion Resom e app does not load properly on your computer Right click to op AMW or window) One Proportion Resampling Test Plot Type

Please only answer if you know how to get the p-value. I've asked this question multiple times and keep getting the wrong answer. Thank you!

Answer 1

(a) H Step 1: Does the consumer group have evidence to disbelieve the insurance company's claim at the 5% level of singificance. The null and alternative hypotheses are Ho: P = 0.85 (The population proportion is equal to 0.85) versus P <0.85 (The population proportion is less than 0.85) Yes, the assumptions are met, since np 25. ------------------------------------ Step 2: The level of significance is a =0.05. The sample information of descriptive statistics The sample proportion is P _55 66 = 0.833333 P - 0.833333 - - - - - - - - - - - - - - - - - - Step 3: The formula for calculating the test statistic is given by - P-p P(1-P) 0.833333-0.85 10.85(1-0.85) V 66 -0.01667 10.85(0.15) V 66 -0.01667 0.1275 V 66 -0.01667 170.001932 -0.01667 0.043952 = -0.3792 2,-0.3792 - - - - - - - - - - - - - - Step 4: The P-value approach: P-value = P(Z <zo) = P(z<-0.3792) = 0.352271 P-value = 0.35227 > a = 0.05 We do not reject the null hypothesis Ho - ---------------- ------ ------ ---- - Step 5: Conclusion: The test statistic is z = 0.3792 <2005 = 1.645 We do not reject the null hypothesis H. Using the P-value approach, Since, the probability value is P-value = 0.3523> a = 0.05) We do not reject the null hypothesis 4 There is not sufficient evidence to reject the null hypothesis H. Hence, we can conclude that at least 85% of its claims are settled within 30 days at the 5% level of significance. Yes, we can believe the claim of the researcher based on the inference of the hypthesis conducted.