Question

In: Statistics and Probability

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?

Solutions

Expert Solution

Solution:

Given: A researcher believes that 8% of pet dogs in Europe are Labradors.

that is: p = proportion of pet dogs in Europe are Labradors = 0.08

n = sample size = 630

We have to find: the probability that the proportion of Labradors pet dogs would be greater than 7%

That is:

Find z score:

Since third decimal place digit is 5, so we round up the number.

Thus we get:

Look in z table for z = -0.9 and 0.03 and find area.

P( Z < -0.93) = 0.1762

Thus

orchestra answered 2 years ago
Next > < Previous

Related Solutions

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.
A researcher believes that 7% of pet dogs in Europe are Labradors. If the researcher is...
A researcher believes that 7% 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 590 pet dogs would differ from the population proportion by more than 3%? Round your answer to four decimal places.
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.
The ages of 20 dogs in a pet shelter are shown. 5 8 7 6 3...
The ages of 20 dogs in a pet shelter are shown. 5 8 7 6 3 9 4 4 5 8 7 4 7 5 7 3 5 8 4 9 a) Find the mean, the median, and the mode (if any). b) Graph the data using a histogram or a frequency polygon. c) Give the five number summary and construct a box and whiskers plot for this data
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.
A pet association claims that the mean annual cost of food for dogs and cats are...
A pet association claims that the mean annual cost of food for dogs and cats are the same. The results for samples for the two types of pets are shown below. At alphaαequals=0.05 can you reject the pet​ association's claim? Assume the population variances are not equal. Assume the samples are random and​ independent, and the populations are normally distributed. Complete parts​ (a) through​ (e) below. Dogs Cats x overbar 1 equals= $ 202 x overbar 2 equals= $ 167...
Top Cat Ltd is a company that supplies pet food to the dogs and cats of...
Top Cat Ltd is a company that supplies pet food to the dogs and cats of Australia. The company’s marginal tax rate is 30%. The business is considering replacing a five-year-old manually operated tuna processing machine that originally cost $100,000, presently has a book value of $50,000, and could be sold for $120,000. This machine is currently being depreciated using the straight-line method down to a terminal value of zero over the next five years, generating depreciation of $10,000 per...
An education researcher is interested in students’ motivation to study local history. The researcher believes that...
An education researcher is interested in students’ motivation to study local history. The researcher believes that if students experience a particular form of positive coaching, then they will be more likely to show interest in local history. This researcher is testing two hypotheses. The first is that the coaching boosts self-efficacy and has an effect on students’ motivation. The second is that this treatment effect is moderated by year in school. Past research has suggested that there should not be...
1. One researcher believes a coin is “fair,” the other believes the coin is biased toward...
1. One researcher believes a coin is “fair,” the other believes the coin is biased toward heads. The coin is tossed 21 times, yielding 16 heads. Indicate whether or not the first researcher’s position is supported by the results. Use α = .05. 2. Design a decision rule to test the hypothesis that a coin is fair if a sample of 64 tosses of the coin is taken and if a level of significance of (a) .05 and (b) .01...
A researcher was interested in the amount of time cats and dogs nap while their owners...
A researcher was interested in the amount of time cats and dogs nap while their owners are away from home on a regular work day. The 30 cats napped an average of 7.0 hours with a standard deviation of 1.5 hours. The 30 dogs napped a mean of 5.0 hours with a standard deviation of 1.5 hours. Assume that the two populations are normally distributed with equal but unknown standard deviations. Test at the 5% significance level if the amount...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT