In a comparative study of two new drugs, A and B, 225 patients were treated with drug A, and 250 patients were treated with drug B. (The two treatment groups were randomly and independently chosen.) It was found that 175 patients were cured using drug A and 175 patients were aured using drug B. Let P, be the proportion of the population of all patients who are cured using drug A, and let p, be the proportion of the population of all patients who are cured using drug B. Find a 90% confidence interval for p-P2. Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least three decimal places. (If necessary, consult a list of formulas.) Lower limit: x 5 ? Upper limit:

On average, Upstate Chevrolet sells 20 cars each week, with a standard deviation of 2. How many cars sold represents 2 standard deviations above the mean? Answer     How many cars sold represent 1 standard deviation below the mean? Answer     Approximately 68% will fall between Answer   and Answer   .   Approximately 99.7% will fall between Answer   and Answer   .   What is the probability that the car lot will sell at least 18 cars? Answer   %   What is the probability that a car lot will sell at most 26 cars? Answer   %

A medical researcher claims that the proportion of patients receiving 200 mg of a newly-developed influenza vaccine who go on to contract influenza strain X is less than the proportion of patients receiving 200 mg of last year's influenza vaccine who contract influenza strain X. Of 320 patients who are given last year's vaccine, 114 contract influenza strain X. Of 350 patients who are given the new vaccine, 112 of them contract influenza strain X. Let PN be the proportion of patients receiving the newly-developed vaccine and pL be the proportion of patients receiving last year's vaccine. State the null and alternative hypotheses and the value of the test statistic. Ho: PN =PL versus HA: PN > PL; Test statistic: Z = 0.99 Ho: PN=PL versus HA: PN > PL; Test statistic: Z = 1.55 Ho: PN-PL versus HA: PN PL; Test statistic: Z= 1.55 Ho: PN-PL versus HA: PN PL; Test statistic: Z= 0.99

From historical data at a local restaurant indicate that 60% of the customers order coffee, 15% ordersoft drinks, and the remaining order water. The owner of the restaurant is planning on opening a newrestaurant and for purposes of stocking enough of the various drinks, wants to know if the proportionsare the same for his new restaurant as they were for his original restaurant. In a sample of 1000customers at the new restaurant, 550 ordered coffee, 190 ordered soft drinks, and the remaining simplywanted water. At the 5% level of significance, does it appear the proportions have changed?

with my answer in screenshot 1 will you help me with the ones in screenshot 2 please

Answer A, B1, and B2: A. The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population. B. Researchers interested in lead exposure due to car exhaust sampled the blood of 52 police officers subjected to constant inhalation of automobile exhaust fumes while working traffic enforcement in a primarily urban environment. The blood samples of these officers had an average lead concentration of 124.32 µg/l and a SD of 37.74 µg/l; a previous study of individuals from a nearby suburb, with no history of exposure, found an average blood level…

In an article published in 2012 at Telegraph.co.uk, Warranty Direct gave engine failure rates for a variety of car brands based on their database of UK direct consumer warranties. The following are known: ● Hondas failed at a rate of 1 in 344. ● Fords failed at a rate of 1 in 80. ● Audis failed at a rate of 1 in 27. Suppose Hondas account for 20% of sales at a particular dealer, Audis 30%, and Fords 50%. Assuming the engine failure rates apply to these vehicles. Determine the probability that a randomly selected vehicle from this dealer will experience engine failure.

In a lightbulb factory, an administrator selects a random sample of bulbs produced on assembly line A and a random sample of bulbs produced on assembly line B. The administrator calculates the proportion of malfunctioning bulbs produced by each assembly line and finds that the difference between them (A - B) is 0.008. A researcher conducted a hypothesis test with the following hypotheses: H0: The proportion of malfunctioning bulbs from assembly line A is the sample as the proportion of malfunctioning bulbs from assembly line B. HA: The proportion of malfunctioning bulbs from assembly line A is greater than the proportion of malfunctioning bulbs from assembly line B. She found a P-value of 0.016. What is the best interpretation of this P-value?  a If there is no difference in the proportions of all defective parts made on the two assembly lines, the probability of observing a difference of at least 0.008 is 0.016.  b If there is a difference of 0.016 in the proportions…