An inspector checks large truck loads of potatoes to determine the proportion ? in the shipment with major defects, prior to the potatoes being used to make potato chips. If there is clear evidence that this proportion is less than 0.1, she will accept the shipment. To reach a decision, she will test the hypotheses ?0:?=0.1 versus ??:?<0.1 . To do so, the inspector selects a simple random sample of 150 potatoes from the more than 3000 potatoes on the truck. Only 8 of the potatoes sampled are found to have major defects. What is the value of the large‑sample ? test statistic? −1.91 1.91 −2.54

Suppose the Humane Society claims that 30% of U.S. households own cats. You believe your community is different than the U.S. percentage. To test the claim, you take a simple random sample of 300 households and find that 37% own cats. Test at 5% significance. Round to the fourthH0H0:Select an answer x̄ p̂ μ p Correct Select an answer = < > ≠ Correct CorrectHAHA:Select an answer x̄ p̂ μ p Correct Select an answer = < > ≠ Correct CorrectWhat's the minimum population size required? IncorrectHow many successes were there? CorrectTest Statistic: CorrectP-value: CorrectDid something significant happen? Select an answer Significance Happened Nothing Significant Happened Correct Select the Decision Rule: Select an answer Reject the Null Accept the Null Fail to Reject the Null Correct There Select an answer is is not Correct enough evidence to conclude find the minimum population size required.

Consider an experiment for patients who underwent CPR for a heart attack and then was sent to the hospital. Patients were randomly divided into a treatment group where they received a blood thinner or the control group where they did not. We're interested in understanding what proportion of patients survived in the first 24 hours in the hospital. Here's the data: Control Treatment Survived 11 14 Died 39 26 With the help of Mathematics and R Studio: Conduct a (full) hypothesis test to determine if the treatment group survived at a higher rate than the control group.

Ann and Sam are both testing the hypothesis that 40% of plain M&M are orange. Ann draws a sample of 150 plain M&M and finds that 45% of her sample is orange. Ann's test statistic is?

The records of a light bulb manufacturer show that, when the manufacturing machinery is working correctly, the defect rate (due to imperfections in the material used) is 1%. The manufacturer's control department periodically tests samples of the bulbs, and when 1.25% or more are defective, they call repair technicians for service. The control department is going to take a random sample of 4400 light bulbs. Let p be the proportion of defective light bulbs in the sample assuming the machinery is working correctly. A) find the mean of p b)find the standard deviation of p c)Compute an approximation for P≥p0.0125, which is the probability that, assuming the machinery is working correctly, the repair technicians will be called. Round your answer to four decimal places.

The records of a light bulb manufacturer show that, when the manufacturing machinery is working correctly, the defect rate (due to imperfections in the material used) is 1%. The manufacturer's control department periodically tests samples of the bulbs, and when 1.25% or more are defective, they call repair technicians for service.   The control department is going to take a random sample of 4400 light bulbs. Let p be the proportion of defective light bulbs in the sample assuming the machinery is working correctly. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p.   (b) Find the standard deviation of p.   (c) Compute an approximation for P(P ≥ 0.0125), which is the probability that, assuming the machinery is working correctly, the repair technicians will be called. Round your answer to four decimal places.

The 2006 Statistical Abstract of the United States reports on a survey that asked a national sample of 80,000 American households about pet ownership. Suppose (for now) that one-third of all American households own a pet cat. Still supposing that one-third of all American households own a pet cat, between what two values do you expect 95% of all sample proportions to fall?

Males and females were asked what they would do if they received a $100 bill in the mail that was addressed to their neighbor, but had been incorrectly delivered to them. Of the 70 males sampled, 55 said yes they would return it to their neighbor. Of the 130 females sampled, 120 said yes. The overall question is: Is this sufficient evidence to say that the two true proportions are different? Assume that the p-value turns out to be .027 (again not the correct p-value for this situation but use it to answer this question). What is your decision on this hypothesis test using a 5% level of significance? O Fail to reject the null hypothesis Reject the null hypothesis

A researcher wants to study the proportion of people on trial for first degree murder who are found guilty. From a random sample of 60 people on trial for first degree murder, 45 people were found guilty. The picture below is the question. The above text is the used with the picture.

Katie is interested if an association exists between age and sleep habits. She selects a random sample of 68 adults in three age groups and determines whether they sleep less than 7 hours, between 7 and 8 hours, or more than 8 hours each night. She would like to determine if there is convincing evidence of an association. Let  = 0.05. What are the hypotheses for this test? H0: There is an association between age and sleep habits.Ha: There is no association between age and sleep habits. H0: There is no association between age and sleep habits.Ha: There is an association between age and sleep habits. H0: There is no difference in the distribution of age and sleep habits.Ha: There is a difference in the distribution of age and sleep habits. H0: There is a difference in the distribution of age and sleep habits.Ha: There is no difference in the distribution of age and sleep habits.