Suppose that 90% of all registered voters in a certain state favor banning the release of information from exit polls inpresidential elections until after the polls in that state close. A random sample of 25 registered voters is to be selected. Letx = number of registered voters in this random sample who favor the ban. (Round your answers to three decimal places.)(a) What is the probability that more than 20 voters favor the ban?0.902(b) What is the probability that at least 20 favor the ban?0.967(c) What is the mean value of the number of voters who favor the ban?22.5What is the standard deviation of the number of voters who favor the ban?1.5(d) If fewer than 20 voters in the sample favor the ban, is this inconsistent with the claim that (at least) 90% ofregistered voters in the state favor the ban? (Hint: Consider P(x < 20) when p = 0.9.)Since P(x < 20) = 0.000X, it seems unlikelythat less 20 voters in the sample would favor theban when the true proportion of all registered voters in the state who favor the ban is 90%. This suggests this eventwould be inconsistent ✓ with the claim that (at least) 90%. of registered voters in the state favor the ban.

The random variable X is given as the number of registered voters in this random sample who favor…

Answered: (d) If fewer than 20 voters in the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A travel agency wants to promote pleasure trips into space and wants to know which of the two commercial companies should they promote Virgin Galactic or Blue Origin? The one preferred by the customers will be the one they decide to promote. For this reason they take a random sample of 16 potential travelers, and they ask if they would prefer Virgin Galactic or Blue Origin. Let X be the number of travelers who preferred Virgin Galactic and let p=X/16 denote the corresponding proportion. Suppose that we want to show that Virgin Galactic is preferred to Blue Origin. Please formulate the null and alternative hypotheses and calculate the rejection region. Use α=0.05 Suppose that 11 out of 16 prefer Virgin Galactic and that α = 0.05, is this enough evidence to show that Virgin Galactic is preferred to Blue Origin? Perform the test and give your conclusion. Which company should they promote?
It has recently been claimed that 25% of adults consider spring to be their favorite season of the year. A researcher is skeptical of this claim and believes this percentage is too low. She surveys a random of 1,000 adults and finds that 390 of these adults consider spring to be their favorite season of the year. As she prepares to conduct a hypothesis test, the researcher writes out her alternative hypothesis as “p < 0.25.” What is wrong with this? The alternative hypothesis should be “p > 0.39.” The alternative hypothesis should be “p < 0.39.” The alternative hypothesis should be “p > 0.25.” The alternative hypothesis should be “p = 0.25.” Nothing is wrong with the given alternative hypothesis.
A humane society claims that less than 72% of households in a certain country own a pet. In a random sample of 700 households in that country, 476 say they own a pet. At a = 0.01, is there enough evidence to support the society's claim? Complete parts (a) through (c) below. O B. More than % of households in the country own a pet. C. Less than 72 % of households in the country own a pet. O D. % of households in the country own a pet. Let p be the population proportion of successes, where a success is a household in the country that owns a pet. State H, and H. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) VA. Ho: p2 0.72 OB. Ho: p= OC. Ho: ps H p OE Ho: p> H:p O D. Ho: p< OF Ho: p H:p2 H ps H p= (b) Use technology to find the P-value. Identify the standardized test statistic. z- -2.36 al laces as needed.) Reject places as needed.) Fail to reject ect or fail to reject the null hypothesis and (d) interpret the…
The supply management of a certain company suggested adopting the water-on-demand system in restaurants on a certain island, in order to conserve water. A restaurant owner stated that 30% of customers do not drink water, and therefore water conservation would be due not only to the water not drunk in each glass, but also to the water saved by washing the glasses. Suppose a sample of 480 restaurant patrons indicated that 128 do not drink water. Test the restaurant owner's claim at the 0.05 level of significance.
A research center claims that at least 31% of adults in a certain country think that their taxes will be audited. In a random sample of 900 adults in that country in a recent year, 26% say they are concerned that their taxes will be audited. At a= 0.05, is there enough evidence to reject the center's claim? Complete parts (a) through (e) below. (a) Identify the claim and state Ho and H. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) O A. Less than % of adults in the country think that their taxes will be audited. O B. % of adults in the country think that their taxes will be audited. O C. At least 31 % of adults in the country think that their taxes will be audited. O D. The percentage of adults in the country who think that their taxes will be audited is not Let p be the population proportion of successes, where a success is an adult in the country who thinks that…
Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 678 randomly selected adults showed that 50.5% of them would erase all of their personal information online if they could. Make a subjective estimate to decide whether the results are significantly low or significantly high, then state a conclusion about the original claim. The results v significantly v so there V sufficient evidence to support the claim that most adults would erase all of their personal information online if they could.
A random sample of 1026 adults in a certain large country was asked "Do you pretty much think televisions are a necessity or a luxury you could do without?" Of the 1026 adults surveyed, 533 indicated that televisions are a luxury they could do without. Complete parts (a) through (e) below. (a) Obtain a point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without. A p= (Round to three decimal places as needed.)
A manufacturer of light bulbs may want to be reasonably certain that less than 3% of the bulbs are defective. Suppose 300 bulbs are randomly selected from a very large shipment. Each tested and 10 defective bulbs are found. Does this provide sufficient evidence for the manufacturer to conclude that the fraction defective in the entire shipment is less than 0.03? State the hypotheses:
Suppose a realtor wants to determine the current percentage of customers who have a family of five or more. How many customers should the realtor survey in order to be 98% confident that the estimated (sample) proportion is within 2 percentage points of the true population proportion of customers who have a family of five or more? z0.10 z0.05 z0.025 z0.01 z0.005 1.282 1.645 1.960 2.326 2.576 Use the table of values above.
Suppose that the proportion of investors who are risk-averse (that is, try to avoid risk in their investment decisions) is though to be at least 0.7. A financial advisor believes that the proportion is actually less than 0.7. A survey of 35 investors found that 23 of them were risk-averse. Formulate a one-sample hypothesis test for a proportion to test this belief. Determine the null hypothesis, H,, and the alternative hypothesis, H,. Ho H,: (Type integers or decimals. Do not round.) Compute the test statistic. (Round to two decimal places as needed.) Find the p-value for the test. (Round to three decimal places as needed.) State the conclusion at the 0.05 level of significance. The p-value is V the chosen value of a, so the null hypothesis. There is evidence to conclude that the proportion of investors who are risk-averse is not at least 0.7.
In a survey of 1120 new college graduates 281 had a professional job on graduation day. One year ago the proportion of graduates with a professional job on graduation day was .24 or 24%. The setup of the null and alternative hypotheses to test whether there is sufficient evidence to conclude that the proportion of graduates with a professional job is higher now than it was one year ago is: (a) Ho :p= .24 vs. H1 : p .24 (d) Ho : p = .25 vs. H1 : p .24 The value of the test statistic is: (а) 2.109 (b) .011 (c) .841 (d) 28.141 (е) .854
I'm not sure how to solve for (b)at least 6 where P(x is less than or equal to 6) or (c)less than 4 where P(x is less than 4). I was able to follow the sample problem in my text to solve (a) exactly 5, but I'm confused on how to apply it to part (b) and (c).

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