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To combat antibiotic resistance, the Quality Improvement Consortium recommends a throat swab to confirm strep throat before a physician prescribes antibiotics to children under age 5. In a random sample of 97 children who received antibiotics for throat infections, 29 did not have a throat swab. At α = 0.05, is this a statistically significant reduction over last year's national rate of 40 percent?
(a-1) Choose the correct null and alternative hypotheses. H0: π ≤ 0.40 vs. H1: π > 0.40H0: π = 0.40 vs. H1: π ≠ 0.40H0: π ≥ 0.40 vs. H1: π < 0.40
(a-2) Calculate the critical value. (A negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)
Critical value
(a-3) Calculate the test statistic. (A negative value should be indicated by a minus sign. Round your answer to 2 decimal places.)
Test statistic
(a-4)Interpret the results. Fail to reject H0Reject H0
(b) Is it safe to assume normality of the sample proportion p? No, normality is not justified.Yes, normality is justified.
Is there any evidence to suggest that the proportion of carpoolers crossing the George Washington Bridge is greater than the proportion of carpoolers using the Lincoln Tunnel? Use a = 0.01.
b. Order from Zug is $1,840,000 as just calculated. The expected cost of offsetting the hedged cash flows is $100,000 as explained next. Brooks sold A$1 million forward. It will purchase them in the spot market and then will fulfill its forward co..
An automobile assembly line operation has a scheduled mean completion time, mean, of 14.7 minutes. The standard deviation of completion times is 1.2 minutes.
A pharmaceutical company conducted study to evaluate the effectiveness and safety of new inhaled form of insulin for treatment of diabetes. A group of 650 diabetics was given the drug twice a day, while another group of 650 diabetics was given an ..
Then turn up cards from the top until the first ace appears. What is the expected value of the number of cards required to produce the first ace?
The PCB concentration of a fish caught in Lake Michigan was measured by a technique that is known to result in an error of measurement that is normally distributed with a standard deviation of .08 ppm (parts per million- Give a 95 percent conf..
the maximum error of estimate is a function of three factors the level of confidence sample size and standard
Construct a 95% confidence interval for the fraction of legal digital music.- Explain what this interval means. Do you believe that you can be this confident about your result? Why or why not?
Find the probability that 665 or fewer college students in the sample send and receive text messages with their phones? Is this result unusual?
a survey asked business travelers if they worked harder on a business trip. fifty percent of the respondents were
Write null and alternative hypotheses about sex and the risk of a lower-extremity injury while playing interscholastic soccer.
Are these factors (interest rate, expected inflation, and the ratio of household net worth/personal disposable income) important in determining personal saving rate? Briefly explain which factor (or factors) have positive effect on savings, and wh..
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