MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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(a) What is the level of significance? State the null and alternate hypotheses. Will do you use a left-tailed, right-tailed, or two-tailed test?
(b) What sampling distribution will you use? Explain the rationale for your choice of the sampling distribution. What is the value of the sample test statistic?
(c) Find (or estimate) the P-value. Sketch the sampling distribution and show the the area corresponding to the P-value.
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a?
(e) State your conclusion in the context of the application.
Diltiazem is a commonly prescribed drug for hypertension. However, diltiazem causes headaches in about 12% of patients using the drug. It is hypothesized that regular exercise might help reduce headaches. If a random sample of 210 patients using diltiazem exercised regularly, and only 16 had a headache, would this indicate a reduction in the population proportion of patients having headaches? Use a 1% level of significance.
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- A polling firm called 1,000 likely voters to ask about their political preferences. Of those polled, 520 indicated that they would vote for the incumbent candidate. Determine the point estimate for the proportion of voters in the election district who will vote for the incumbent. What is the sampling distribution for p in this example? Approximately how many voters must be polled for a margin of error equal to .01, assuming a confidence level of 95%? Show your work.arrow_forwardDescribe the sampling distribution of p. Assume the size of the population is 20,000. n= 900, p = 0.6 ..... Choose the phrase that best describes the shape of the sampling distribution of p below. O A. Not normal because ns0.05N and np(1 - p) 10. Determine the mean of the sampling distribution of p. Ha = (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of p. (Round to three decimal places as needed.)arrow_forwardAfter the political ad campaign, pollsters check the mayor's positives. They test the hypothesis that the ads produced no change against the alternative that the positives are now above 47% and find a P-value of 0.283. Which conclusion is appropriate? Explain. Choose the correct answer below. O A. There is a 28.3% chance that natural sampling variation could produce poll results at least as far above 47% as these if there is really no change in public opinion. There is a 28.3% chance that the poll they conducted is correct. O B. O C. There is a 71.7% chance that the ads worked. O D. There is a 28.3% chance that the ads worked.arrow_forward
- Let's examine the mean of the numbers 1, 2, 3, 4, 5, 6, 7, and 8 by drawing samples from these values, calculating the mean of each sample, and then considering the sampling distribution of the mean. To do this, suppose you perform an experiment in which you roll an eight-sided die two times (or equivalently, roll two eight-sided dice one time) and calculate the mean of your sample. Remember that your population is the numbers 1, 2, 3, 4, 5, 6, 7, and 8. The true mean (µ) of the numbers 1, 2, 3, 4, 5, 6, 7, and 8 is , and the true standard deviation (o) is The number of possible different samples (each of size n = 2) is the number of possibilities on the first roll (8) times the number of possibilities on the second roll (also 8), or 8(8) = 64. If you collected all of these possible samples, the mean of your sampling distribution of means (µM) would equal and the standard deviation of your sampling distribution of means (that is, the standard error or ɑm) would be The following chart…arrow_forwardSuppose the true proportion of voters in the county who support a school levy is 0.53. Consider the sampling distribution for the proportion of supporters with sample size n = 101.What is the mean of this distribution? What is the standard error of this distribution?arrow_forward? Y pre Is the following statement true, or false? Answer using the pull down menu. 1. As a general rule, the normal distribution is used to approximate the sampling distribution of the sample proportion only if the expected successes and failures obey: np > 10 and n(1-p) ≥ 10. previearrow_forward
- In simple random sampling, it is also true that each member of the population is equally likely to be selected, the chance for each member being equal to the sample size divided by the population size. a. Under what circumstances is that fact also true for systematic random sampling? Explain your answer.b. Provide an example in which that fact is not true for systematic random sampling.arrow_forward☐True ☐False The difference between the sample and the population being estimated is called the sampling errorarrow_forward
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