Cora wants to determine a 99 percent confidence interval for the true proportion p of high school students in the areawho attend their home basketball games. Out of n randomly selected students she finds that that exactly half attend their homebasketball games. About how large would n have to be to get a margin of error less than 0.01 for p? [Use the values for z* from a z-table or t-table, and round to the smallest integer that works.] na

Given data: Margin of error (E) = 0.01 Confidence level = 99 % To find : The required sample size…

Answered: Cora wants to determine a 99 percent…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

A food company is planning to market a new kind of cereal; however before, they want to find the % of people who will like it. They select a random sample of 500 people and ask them to try the cereal. Of 500, 290 people say they like it. Compute the 95% cofidence interval for the % of the pop. that will like the cereal. Interept this cofidence interval.
You are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 384 randomly selected caterpillars observed, 46 lived to become butterflies. Round answers to 4 decimal places where possible. a. With 90% confidence the proportion of all caterpillars that lived to become a butterfly is between and b. If many groups of 384 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and about percent will not contain the true population proportion.
For normal population, the sample mean M = 35 has the same absolute value of the Z – score as a sample mean M = 43. The two samples have the same sample size in. What is the population mean?
You are interested in constructing a 95% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 390 randomly selected caterpillars observed, 60 lived to become butterflies. Round answers to 4 decimal places where possible. a. With 95% confidence the proportion of all caterpillars that lived to become a butterfly is between and . b. If many groups of 390 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and about percent will not contain the true population proportion.
Given that the confidence level is x %, give an expression in terms of x for a.
How often do you go out dancing? This question was asked by a professional survey group on behalf of the National Arts Survey. A random sample of n1 = 95 single men showed that r1 = 23 went out dancing occasionally. Another random sample of n2 = 92 single women showed that r2 = 19 went out dancing occasionally. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value a small amount and thereby produce a slightly more "conservative" answer. (a) Do these data indicate that the proportion of single men who go out dancing occasionally is higher than the proportion of single women who do so? Use a 5% level of significance. List the assumptions you made in solving this problem. Do you think these assumptions are realistic? What is the level of significance? What is the value of the sample test statistic? (Round your answer to three decimal places.) (b) Compute a 90% confidence…
Beth wants to determine a 99% confidence interval for the true proportion of high school students in the area who attend their home basketball games. How large of a sample must she have to get a margin of error less than 0.04? Assume we have no prior estimate of the proportion and want a conservative choice for the sample size. n =
Illustration 18.1. The measured proport:on of success in a samplè of 25 is 0.5. (a) what is a 99% confidence interval for n? (b) what should be the sample size for width of this interval to be 0.02? be 0.02?
The width of a confidence interval for a proportion will be:a. wider for a sample of size 100 than for a sample of size 50b. wider for 90% confidence than for 95% confidencec. narrower for 99% confidence than for 95% confidenced. wider when the sample proportion is 0.50 than when the sample proportion is 0.20 Calculations:
Leave all probabilities as percentages. Define x on all problems with data. The biologist wants to estimate the average age of Coyotes in Tuolumne County. Her estimates from past experience suggest the standard deviation is 1.1years. How big of a sample should she take to be 95% sure his estimate is off by no more than 0.2years?
The average number of cavities that thirty-year-old Americans have had in their lifetimes is 4. Do twenty-year-olds have a different number of cavities? The data show the results of a survey of 11 twenty- vear-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 2, 5, 3, 2, 5, 3, 5, 2, 2, 2, 4 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: ns Ho: ? vSelect an answer v re H: ? v Select an answer c. The test statistic 2 v = (please show your answer to 3 decimal places.) urse d. The p-value = e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that... (Please show your answer to 4 decimal places.) O The data suggest that the population mean number of cavities for twenty-year-olds is not significantly different from 4 at a = 0.05, so there is…
If [1740, 1850] is a confidence interval for a population mean. Find the value of the point estimator of the population mean. Select one: O a. 1910 O b. 1660 O c. 1540 O d. 1795

SEE MORE QUESTIONS

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS