3. An inspector inspects large truckloads of potatoes to determine the proportion p in theshipment with major defects prior to using the potatoes to make potato chips. Unless there isclear evidence that this proportion is less than 0.10, she will reject the shipment. To reach adecision she will test the hypothesesHo: p=0.10, Ha: p<0.10using the large-sample test for a population proportion. To do so, she selects an SRS of 50potatoes from the more than 2000 potatoes on the truck. Suppose that only two of the potatoessampled are found to have major defects.Which of the following conditions for inference about a proportion using a hypothesis test areviolated?(a) Random-(b) NormalIndependent(d) There appear to be no violations.(e) More than one condition is violated.

Given that: The null and alternative hypotheses are listed below: H0:p=0.10H1:p<0.10 Sample size,…

Answered: 3. An inspector inspects large…

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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3. A recent report stated that the proportion of teens that vape has decreasedfrom the prior year. The authors randomly selected a group of 600 teensfrom the current year and 126 of them vape. They randomly selected 800teens the prior year and 216 of them vaped. Is there significant evidencethat the proportion decreased? c. Compute the value of the test statistic (z-value)d. Compute the P-value
We want to determine if the true proportion of students who do aerobics is less than 45%. Which are the correct hypotheses? Ho: P = 0.45; Ha: P≠ 0.45 Ho: P = 0.45; Ha: P > 0.45 Ho: P ≥ 0.45; Ha:P < 0.45 Ho: μ ≥ 0.45; Ha: μ < 0.45
3. Nancy believes that the average running time of movies is equal to 140 minutes. A sample of 4 movies was taken and the following running times were obtained. Assume the distribution of the population is normally distributed. 150 150 180 170 a. State the null and alternative hypotheses and describe a Type I error and a Type II error for this situation. b. Using a critical value, test the hypothesis at the 10% level of significance. What's your conclusion?
2. Suppose a 95% CI for the proportion of adults that regularly attend a tae kwon do class at least once a week was found to be (0.2534, 0.3894). decision a. For the null and alternative hypothesis: Ho: p = 0.40 versus Ha: p # 0.40, what is for this test of hypothesis? your b. Based on the CI, which of the following statements gives the best conclusion about the true value of the proportion of adults that regularly attend a tae kwon do class at least once a week? i. I am 95% confident that the proportion of adults that regularly attend a tae kwon do class at least once a week is greater than 40%. ii. I am 95% confident that the proportion of adults that regularly attend a tae kwon do class at least once a week is different than 40% iii. I am 95% confident that the proportion of adults that regularly attend a tae kwon do class at least once a week is less than 40% iv. I am 95% confident that the proportion of adults that regularly attend a tae kwon do class at least once a week equals…
According to the most recent General Social Survey, 70% of adults watch TV nightly. A researcher believes that the proportion of college students who watch TV nightly is less than this. To test this claim the research samples 400 college students and finds that 276 watch TV nightly. At the 0.05 level of significance does this data provide evidence to suggest that the proportion of college students who watch TV nightly is less than 70%? Select the correct hypothesis test for this problem:
2. A claim is made that the proportion of adults who text is less than 0.4. Find the test statistic if the the sample size is n= 987 with 398 adults saying that they text. Show work.
A business has just completed a marketing campaign. They want to determine if their original market share of 50% has increased as a result of the campaign. A survey conducted found 81 out of 150 people had bought the products. Determine whether the company has increased its market share i. Write down the null and alternative hypotheses for this test.ii. The sample proportion value is missing from the output above. What is this value?iii. Explain why we can use the following test static to conduct this test.? =?̂− ?√??⁄?iv. Use either the ?-value or the ? statistic in the output provided to conduct the test. Has the market share of the company increased?v. The marketing team plan to continue to monitor their market share. In a future study, they want to be able to estimate their market share to within +/−5% and with 90% confidence. What size sample is required? Use the sample proportion from part ii.
1. A professional racing team is holding tryouts at its test track. The team requires its drivers to have an average lap time of at most 133 seconds at its test track. The team will use a one sample z-test of significance to determine if they should hire a new driver. What are the null and alternative hypotheses that this team should use? a. H0:μ=133, Ha:μ<133. b. H0:μ=133, Ha:μ>133. c. H0:μ=133, Ha:μ ≠=133.
18% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 379 randomly selected students who receive financial aid, 57 of them volunteered their time. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use z-test for a population proportion b. The null and altemative hypotheses would be: Họ: P (please enter a decimal) Hi: P (Please enter a decimal) c. The test statistic zv (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is > v f. Based on this, we should fail to reject g. Thus, the final conclusion is that ... a the null hypothesis. O The data suggest the population proportion is not significantly lower than 18% at a = 0.01, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 18%. O The data suggest the…
3. Suppose a random sample of NFL lineman this year produced the following results: 310 295 270 360 302 298 312 280 320 (assume NFL lineman weights are normally distributed) A claim is made that NFL lineman weigh more now than they did in 1990, where their mean weight was 295. Test this claim at the 0.05 significance level..
1) The percentage of complete passes is an important measure for a quarterback in the NFL. A particular quarterback has a career completion percentage of 55%. The quarterback got a new coach and then played a few games where he completed 48 of 100 passes. a. Specify the null and alternative hypotheses to determine whether the proportion of completed passes has decreased with the new coach. b. Calculate the value of the test statistic and the p-value. c. At the 5% significance level, can you conclude that the quarterback's completion percentage has decreased?
The owner of a small pet supply store wants to open a second store in another city, but he only wants to do so if more than one -third of the citys households have pets( otherwise there wont be enough business). he samples 150 of the households and finds that 64 have pets. 1. state the parameters and hypothesis 2. find the observed sample statistic 3. what is the p- value, and is this statistically significant?

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