84. Spending on concessions at the movies varies by age of the movie goer. A random sample of 100adults in their 40's found that 70 purchased popcorn. A random sample of 100 adults less than40 years old found that 59 purchased popcorn. a otrogong saglit & as I quit) (s)(a) State the hypotheses for determining if there is a difference in the proportion of adults whopurchase popcorn in each age group.gons afteved yourbns I quo10 (6)(b) Calculate the test statistic.rondom samp(c) Calculate the p-value.lide(10) med fel a te(d) Interpret the p-value.(e) State your conclusion.(f) Would a confidence interval for the difference in proportions contain zero? Explain withoutconstructing the interval.85. Africa and the Middle East are two of the least popular regions traveled to in study abroad.programs. Suppose a random sample of 250 college students found that 4% traveled to Africafor study abroad. A second random sample of 375 college students found that 2.667% studied inthe Middle East. Is there evidence that more students study abroad in Africa than the MiddleEast? Perform the appropriate test and include all steps.

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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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In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that last summer 71 out of a random sample of 86 guests did, in fact, catch northern pike weighing over 20 pounds. Does this indicate that the population proportion of guests who catch pike over 20 pounds is different from 75% (either higher or lower)? Use ? = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. H0: p = 0.75; H1: p > 0.75H0: p ≠ 0.75; H1: p = 0.75 H0: p < 0.75; H1: p = 0.75H0: p = 0.75; H1: p ≠ 0.75H0: p = 0.75; H1: p < 0.75 (b) What sampling distribution will you use? The Student's t, since np > 5 and nq > 5.The standard normal, since np > 5 and nq > 5. The Student's t, since np < 5 and nq < 5.The standard normal, since np < 5 and nq < 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test…
Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 600 randomly selected adults showed that 62% of them would erase all of their personal information online if they could. Find the value of the test statistic.
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You are testing the claim that the proportion of men who own cats is larger than the proportion of women who own cats. You sample 190 men, and 113 own cats. You sample 50 women, and 24 own cats. Find p (p-bar), as a decimal, rounded to two decimal places. Find the test statistic, rounded to two decimal places. Submit Question 9:24 PM 5/20/2021
You are testing the claim that the proportion of men who own cats is smaller than the proportion of women who own cats.You sample 190 men, and 71 own cats.You sample 130 women, and 114 own cats.Find the test statistic, rounded to two decimal places
A polling company conducted a hypothesis test to see if people are happy with the government, and they did so by conducting a two-sided test for a population ratio. population proportion). They calculated the value of the test statistic and found that it wasz=2.1 .What is the p-value of the test?
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Support for the U.S. death penalty for convicted murderers was 63% in 2014 (Gallup poll results 2018). In a recent survey of 150 randomly selected U.S. adults, 75 said they were in favor of the death penalty for those convicted of murder. Does this sample appear to come from a population with a lower proportion in favor of the death penalty? d) Say that a = 0.05, what does this mean. Explain in the context of the problem. e) What would it mean to make a type II error? Explain in the context of this problem. f) Use a 0.05 significance level to test the claim. State your conclusion AND interpret your results.
You read a newspaper article that says that 74% of households in your town participate in a recycling program. To test that statement at the 10% significance level, you randomly select 54 households in town and you find that 35 of them participate in the recycling program. Ho: P=0.74 Ha:P=/ 0.74 Find the P-value. Round your answer to 3 decimal places.
According to an expert for the automotive industry, 68% of Americans know how to drive a manual transmission vehicle. Suppose 220 Americans are sampled. (Give results accurate to at least 4 decimal places.) a. Of the 220 people sampled, 160 respond that they know how to drive a manual transmission vehicle. What is the sample statistic p? p = b. Under the assumption that the industry expert's claim that 68% of Americans know how to drive a manual transmission vehicle is valid, what is the probability that the survey in part (a) would result in a p that is at least as high as the one found? c. Under the assumption that the industry expert's claim that 68% of Americans know how to drive a manual transmission vehicle is valid, what is the probability that the survey in part (a) would result in a p that is between 66% and 71%?
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In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that last summer 59 out of a random sample of 85 guests did, in fact, catch northern pike weighing over 20 pounds. Does this indicate that the population proportion of guests who catch pike over 20 pounds is different from 75% (either higher or lower)? Use a = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: p = 0.75; H1: p 0.75 (b) What sampling distribution will you use? O The Student's t, since np 5 and ng > 5. O The standard normal, since np 5 and nq > 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test statistic. (Round your answer to four decimal places.)

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