For the following problems: a) Identify the null and alternative hypothesis. b) Calculate the critical value c) Calculate the test statistic d) Draw your conclusion on whether the null hypothesis will be rejected or failed to be rejected. e) Find the 95% Confidence Interval 1. According to work done by Nick Wilson of Otago University Wellington, the proportion of individuals who cover their mouths when sneezing is 0.733. As part of a school project, Mary decides to confirm this by observing 100 randomly selected individuals sneeze and finds that 78 covered their mouth when sneezing. Test to see if there is a difference in proportions of people covering their mouth when sneezing. Let a=0.05.

For the following problems: a) Identify the null and alternative hypothesis. b) Calculate the critical value c) Calculate the test statistic d) Draw your conclusion on whether the null hypothesis will be rejected or failed to be rejected. e) Find the 95% Confidence Interval 1. According to work done by Nick Wilson of Otago University Wellington, the proportion of individuals who cover their mouths when sneezing is 0.733. As part of a school project, Mary decides to confirm this by observing 100 randomly selected individuals sneeze and finds that 78 covered their mouth when sneezing. Test to see if there is a difference in proportions of people covering their mouth when sneezing. Let a=0.05.

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Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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An article in Engineering Horizons (Spring 1990, p. 26) reported that 117 of 484 new engineering graduates were c08.indd 302 9/24/2013 6:57:11 PMSection 8-7/Tolerance and Prediction Intervals 303planning to continue studying for an advanced degree. Consider this as a random sample of the 1990 graduating class.(a) Find a 90% confidence interval on the proportion of such graduates planning to continue their education.(b) Find a 95% confidence interval on the proportion of such graduates planning to continue their education.(c) Compare your answers to parts (a) and (b) and explain why they are the same or different.(d) Could you use either of these confidence intervals to determine whether the proportion is actually 0.25? Explain your answer. Hint: Use the normal approximation to the binomial.
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 425 gram setting. Is there sufficient evidence at the 0.01 level that the bags are underfilled or overfilled? Assume the population is normally distributed. State the null and alternative hypotheses for the above scenario.
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The NAEP considers that a national average of 283 is an acceptable performance. Using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2019 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2019 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?
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A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 443 gram setting. Is there a significant evidence at the 0.02 level that the bags are overfilled assume the population is normally distributed. State the null and alternative hypotheses for the above scenario. HO: and HA:
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A random sample of 12 hollyhock plants grown from the seed in a particular packet wastaken, and the height of each plant was measured, in m. The results are summarized by∑ ?ᵢ = 28.43, ∑ ?ᵢ² = 88.4704.Making a suitable assumption about the distribution of heights, which should be stated, find a90% confidence interval of the form of(?, ?), for the mean height of hollyhock plants grownfrom that packet.
In an exercise with silicon nanopillars based on the z-test of a large sample n = 50 with X-Bar = 305.58 and s = 36.971 A) Construct a confidence interval for the 95% mean. B) Decide whether or not to reject the null hypothesis mu = 320 nm against the alternative hypothesis mu different from 320 nm with alpha = 0.05 C) Decide whether or not to reject the null hypothesis mu = 310 nm against the alternative hypothesis mu different to 310 nm with alpha = 0.05. D) What is your decision in the previous section if alpha = 0.02
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An ecologist who analyzes water samples tests the nullhypothesis that any contaminants in the water are belowdangerous concentrations. Because he uses a = 0.05, aset of samples from a small lake that produced a P-valueof 0.07 led him to conclude that the evidence did notpoint to unsafe water conditions. Which is true?A) There’s a 7% chance the lake’s water really is safe.B) There’s a 93% chance the lake’s water really is safe.C) There’s a 7% chance his sampling would have shownas much contamination as it did even if the lake’swater really is safe.D) If the lake’s water really is unsafe, there’s a 5%chance he wouldn’t notice.E) If he had taken more samples, he probably wouldhave rejected the null and concluded that the waterwas unsafe.