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- If a binomial experiment has probability p success, then the probability of failure is ____________________. The probability of getting exactly r successes in n trials of this experiment is C(_________, _________)p (1p)Suppose that only 0.1% of all computers of a certain type experience CPU failure during the warranty period. Consider a sample of 4,000 computers.a. Can you use Poisson distribution as approximation for binomial? Why? b. Compute P(4<=X<=6) (Use the formula of the pmf).Consider a binomial experiment with n = 20 and p = 0.4. Calculate the P(X ≥ 10). Do not usenormal approximation.
- reenville County, South Carolina, has 396,183 adult residents, of which 80,987 are 65 years or older. A survey wants to contact ?=689 residents. If repeated simple random samples of 689 residents are taken, what would be the range of the sample proportion of adults over 65 in the sample according to the 95 part of the 68-95-99.7 rule? Give your answers to four decimal places. lower bound: upper bound:The proportion p of residents in a community who recycle has traditionally been 70%. A policy maker claims that the proportion is less than 70% now that one of the recycling centers has been relocated. If 148 out of a random sample of 215 residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the 0.01 level of significance? Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places 1. Find the critical value. (Round to three or more decimal places.The proportion p of residents in a community who recycle has traditionally been 60% . A policy maker claims that the proportion is less than 60% now that one of the recycling centers has been relocated. If 101 out of a random sample of 200 residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the 0.10 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.) (a) State the null hypothesis H0 and the alternative hypothesis H1 . H0: H1: (b) Determine the type of test statistic to use. ▼(Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) Is there enough evidence to support the policy maker's…
- The proportion p of residents in a community who recycle has traditionally been 60% . A policy maker claims that the proportion is less than 60% now that one of the recycling centers has been relocated. If 128 out of a random sample of 240 residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the 0.01 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.) (a) State the null hypothesis H0 and the alternative hypothesis H1 . H0: H1: (b) Determine the type of test statistic to use. ▼(Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical value. (Round to three or more decimal places.) (e) Is there enough evidence to support the policy maker's claim that the…The proportion p of residents in a community who recycle has traditionally been 60%. A policy maker claims that the proportion is less than 60% now that one of the recycling centers has been relocated. If 133 out of a random sample of 230 residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the 0.10 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.) Find the value of the test statistic and round to 3 or more decimal places. (I have posted a picture of an example problem and the equation to use, with the correct answer as every expert I have asked thus far has gotten this problem wrong.) A. Find the value of the test statistic. (Round to three or more decimal places.) B. Find the critical value. (Round to three or more decimal places.) C. Is there enough evidence to support the policy…The proportion p of residents in a community who recycle has traditionally been 60%. A policy maker claims that the proportion is less than 60% now that one of the recycling centers has been relocated. If 133 out of a random sample of 230 residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the 0.10 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.) (For Z test statistics) Find the value of the test statistic and round to 3 or more decimal places. (I have posted a picture of an example problem and the equation to use, with the correct answer as every expert I have asked thus far has gotten this problem wrong.) A. Find the value of the test statistic. (Round to three or more decimal places.) B. Find the critical value. (Round to three or more decimal places.) C. Is there enough evidence to…
- The proportion p of residents in a community who recycle has traditionally been 60% . A policy maker claims that the proportion is less than 60% now that one of the recycling centers has been relocated. If 126 out of a random sample of 215 residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the 0.10 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.) (a) State the null hypothesis H0 and the alternative hypothesis H1 . H0: H1: (b) Determine the type of test statistic to use. ▼(Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) Is there enough evidence to support the policy maker's claim that the…The proportion p of residents in a community who recycle has traditionally been 60%. A policy maker claims that the proportion is less than 60% now that one of the recycling centers has been relocated. If 116 out of a random sample of 225 residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the 0.01 level of significance? Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places. A. State the null hypothesis Ho and the alternative hypothesis H1 Ho: H1: B. Find the value of the test statistic. (Round to three or more decimal places.) C. Find the critical value. (Round to three or more decimal places.) D. Is there enough evidence to support the policy maker's claim that the proportion of residents who recycle is less than 60%? (Yes or no) .The United States Department of Agriculture (USDA) found that the proportion of young adults ages 20–39 who regularly skip eating breakfast is 0.2380.238. Suppose that Lance, a nutritionist, surveys the dietary habits of a random sample of size ?=500n=500 of young adults ages 20–39 in the United States. Apply the central limit theorem to find the probability that the number of individuals, ?,X, in Lance's sample who regularly skip breakfast is greater than 126126. You may find table of critical values helpful. Express the result as a decimal precise to three places. Then, Apply the central limit theorem for the binomial distribution to find the probability that the number of individuals in Lance's sample who regularly skip breakfast is less than 9898. Express the result as a decimal precise to three places.