Answered: In a survey of 200 boys, of which 75… | bartleby

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 31PPS

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Question

In a survey of 200 boys, of which 75 were intelligent, 40 had educated
fathers; while 85 of the unintelligent boys had uneducated fathers. Do these figures support
the hypothesis that educated fathers have intelligent boys ? Use x-test, valus of x tor 1
degree of freedom at 5% level is 3.84.

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A research center claims that 30% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1200 adults in that country, 33% say that they would travel into space on a commercial flight if they could afford it. At α=0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. Identify the P-value?
The police tested 550 people, to see if anyone would match the partial fingerprint at the crime scene. The probability of getting a false-positive result for a single person, was 0.3%. Using the same formula and method as shown in the video: What would be the new approximate percentage probability of getting at least one false-positive result, if 550 people are still tested, but the probability of getting a false-positive result for a single person was 0.4% instead of 0.3% ? (Assume all other aspects of the situation are the same as in the original problem, with the only change being the probability of getting a false-positive result for a single person.) Round to four digits past the decimal point, and include a percentage symbol in your answer (with no spaces).
A recent study of 9,226 Queensland high school teachers found that 7,372 of them worked longer than the average school day. Use the survey results to estimate, with 92% confidence, the proportion of Queensland high school teachers who worked longer than the average school day. Report the upper bound of the interval only, giving your answer as a percentage to two decimal places.
At any age, about 20% of American adults participate in fitness activities at least twice a week. However, these activities change as people get older, and occasionally participants cease to be older as they age. In a local survey of n = 100 adults over 40, a total of 15 people indicated that they participated in these activities at least twice a week. Does this data indicate that the percentage of participation for adults over 40 years of age is considerably less than the 20% figure? Find the p-value and use it to draw the appropriate conclusions.

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