A researcher believes that 8% of males smoke cigarettes.

A researcher believes that 8% of males smoke cigarettes. If the researcher is correct, what is the probability that the proportion of smokers in a sample of 512 males would differ from the population proportion by greater than 3%? Round your answer to four decimal places.

Solutions

Expert Solution

n = 512

= 8% =0.08

1 - = 1 - 0.08 = 0.92

= = 0.08

= √ ( 1 - ) / n

= √ 0.08 * 0.92 / 512

= 0.0120

P( > 0.03 )

1 - P ( 0.05 < < 0.11 )

1 -P ( 0.05 - 0.08 / 0.0120 ) < ( - / ) < ( 0.11 - 0.08 / 0.0120)

1 -P ( - 0.03 / 0.0120 < z < 0.03 / 0.0120 )

1 - P (-2.5 < z < 2.5 )

1 - P ( z < 2.5) - p ( z < -2.5)

Using z table

= 1 - ( 0.9938 - 0.0062)

= 1 - 0.9876

= 0.0124

Probability = 0.0124.

orchestra answered 1 year ago

Next > < Previous

Related Solutions

A researcher wanted to learn whether the urge to smoke cigarettes was associated with the number...

A researcher wanted to learn whether the urge to smoke cigarettes was associated with the number of times a person exercised in the last week. So the researcher gathered 10 who smoke for the study. Participants were asked to rate their urge to smoke on a scale of 0 (no urge) to 10 (extreme urge), and to give the number of times each had worked out in the last week. Using the data below, an alpha of .05 (two-tailed), use...

In a questionnaire, a researcher asks, “Do you currently smoke cigarettes?” and the next question asks...

In a questionnaire, a researcher asks, “Do you currently smoke cigarettes?” and the next question asks smokers “How many packs a day do you smoke?” The first question is an example of: A. a filter question. B. an open-ended question. C. a vignette. D. a skip pattern.

A researcher claimed that less than 20% of adults smoke cigarettes. A Gallup survey of 1016...

A researcher claimed that less than 20% of adults smoke cigarettes. A Gallup survey of 1016 randomly selected adults showed that 17% of the respondents smoke. Is this evidence to support the researcher’s claim? (a) What is the sample proportion, ˆp, for this problem? (b) State the null and alternative hypothesis. H0 : p = H1 : p < Note that you should have written the same number in the null and alternative hypotheses. This is the value that the...

A researcher believes that 8% of pet dogs in Europe are Labradors. If the researcher is...

A researcher believes that 8% of pet dogs in Europe are Labradors. If the researcher is right, what is the probability that the proportion of Labradors in a sample of 630 pet dogs would be greater than 7%? Round your answer to four decimal places. My question is since the z table is 0.925 would I add up both scores and then divide by two? Or would I just round up?

A researcher believes that 8% of pet dogs in Europe are Labradors. If the researcher is...

A researcher believes that 8% of pet dogs in Europe are Labradors. If the researcher is right, what is the probability that the proportion of Labradors in a sample of 594 pet dogs would differ from the population proportion by greater than 3%? Round your answer to four decimal places.

1)A researcher believes that there is a correlation between the number of cigarettes smoked per day...

1)A researcher believes that there is a correlation between the number of cigarettes smoked per day and intelligence. The following data were collected on 15 smokers. Find Pearson's r. Number of cigarettes (X) IQ score (Y) 7 10 49 6 41 15 38 5 37 12 19 4 35 19 40 11 1 3 10 3 18 22 21 17 15 12 7 9 38 13 n=15 Sum of X= 376 Sum of Y=161 Sum...

In the High School there is around 2500 students, 18% of the students smoke cigarettes. A)...

In the High School there is around 2500 students, 18% of the students smoke cigarettes. A) If 2 are selected at random, use a Venn diagram with 2 circles; 1 representing the probability that the first student smokes and 1 representing the probability that the other student smokes. Determine the probability that at least 1 of them smokes cigarettes. (This would be equivalent to the probability that either the first student OR the second student smokes.) B) Repeat the above...

Researcher A believes that waking is a more conscious state than dreaming. Researcher B believes that,...

Researcher A believes that waking is a more conscious state than dreaming. Researcher B believes that, in contrast, dreaming is a more conscious state than waking. Researcher C believes that Researchers A and B are both wrong, because waking and dreaming represent different “types” rather than different “levels” of consciousness. In 50-100 words, describe the justification for each Researcher’s belief, using materials in the lecture on States of Consciousness.

If is the fact that 13.7% of American adults smoke cigarettes. If 25 American adults were...

If is the fact that 13.7% of American adults smoke cigarettes. If 25 American adults were chosen at random, what is the probability that at most 7 of them smoked cigarettes?

A and B live in neighboring apartments with two commodities, money and smoke (from cigarettes). For...

A and B live in neighboring apartments with two commodities, money and smoke (from cigarettes). For A, both money and smoke are good, and he is endowed with $eA. For B money is good but smoke is bad. He is endowed with $eB. Smoke is measured on a scale from 0 (none) to 1 (too difficult to breathe). Assume both agents have well-behaved preferences. (a) Use the Edgeworth box with money on the horizontal axis and smoke on the vertical....

Subjects