You are a process engineer for a company that manufactures widgets. Aparticular machine at your company used to have some downtime during theday on 35.9% of days. You decided to make some changes to how the machineis calibrated in an attempt to reduce downtime. After monitoring the machinefor 180 days after your changes were implemented, you find that the machinehad some downtime during the day on 30.4% of days. Conduct a hypothesistest to determine if the proportion of days that the machine has downtime hasdecreased from before, with a= 0.01. Using this information, what is the teststatistic in your analysis? Only round your final answer and choose the closestchoice to your answer.-1.54-1.601.38-1.66-2.33

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Answered: You are a process engineer for a…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.7: Probability

Problem 3SE: What is an experiment?

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What is an experiment?
The FruitStuff Corporation, which manufactures dried fruit snacks, is looking to find the best location within a store for displaying its product. There are several candidate display locations: in the check-out line (to encourage "impluse" buying), on a shelf with other snack foods, as a separate display in an aisle, etc. FruitStuff is recording the amount of money made in sales per week for the different display locations. For each experimental scenario below, choose all tests that could be used for that scenario. Assume that the relevant assumptions for the populations (type of distribution, variance, etc.) are satisfied.
It has been determined that 37 out of 100 adult Americans that did not attend college believe in extra-terrestrials. However, from a random sample of 100 adult Americans that did not attend college 43 claim that they believe in extra-terrestrials. Does this indicate that the proportion of people who did not attend college and who believe in extra-terrestrials has changed? Conduct a hypothesis test with a = 0.01 and interpret the results.
In the previous year, 40% of women over the age of fifty had regularly scheduled mammograms. Following last year's test, a campaign was initiated to encourage women to be tested regularly. This year, a cancer research group surveys a random sample of 450 women, and 195 respond affirmatively. With a 5% significance level, test to see if the campaign was effective. What is the p-value and test statistic?
An experiment was conducted to test if 2 new anti-anxiety medications will have an effect on number of anxiety symptoms. The researcher randomly assigned participants to one of the three experimental groups. Groups 1 and 2 took the 2 new medications while Group 3 took a placebo pill. The researcher was interested in determining whether there would be a difference in the number of anxiety symptoms among the three groups. Assume an alpha level of 0.05 and a two-tailed test. What statistical test should you use to evaluate the hypothesis above? one-way independent ANOVA Pearson Product-Moment Correlation simple linear regression multiple linear regression three-way independent ANOVA
In one study of smokers who tried to quit smoking with nicotine patch therapy, 38 were smoking one year after treatment and 32 were not smoking one year after the treatment. Use a 0.05 significance level to test the claim that among smokers who try to quit with nicotine patch therapy, the majority are smoking one year after the treatment. Do these results suggest that the nicotine patch therapy is not effective?Identify the null and alternative hypotheses for this test. Choose the correct answer below.A. H0:p=0.5 H1 : p > 0.5B. H0:p=0.5 H1 : p < 0.5C. H0:p>0.5 H1 : p = 0.5D. H0:p=0.5 H1 : p ≠ 0.5Identify the test statistic for this hypothesis test.The test statistic for this hypothesis test is (Round to two decimal places as needed.)Identify the P-value for this hypothesis test.The P-value for this hypothesis test is (Round to three decimal places as needed.)Identify the conclusion for this hypothesis test...A. Reject H0. There insufficient evidence to warrant support of the…
In one study of smokers who tried to quit smoking with nicotine patch therapy, 37 were smoking one year after treatment and 33 were not smoking one year after the treatment. Use a 0.01 significance level to test the claim that among smokers who try to quit with nicotine patch therapy, the majority are smoking one year after the treatment. Do these results suggest that the nicotine patch therapy is not effective? Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. H0: p=0.5 H1: p<0.5 B. H0: p=0.5 H1: p>0.5 C. H0: p=0.5 H1: p≠0.5 D. H0: p>0.5 H1: p=0.5 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is nothing. (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is nothing. (Round to three decimal places as needed.) Identify the conclusion…
19 of 22 participants (86.36%) from the high-power posing group took a gambling risk to double their money, while 12 of 20 (60%) from the low-power posing group took the gambling risk. Use a calculator tool from Module 10 to determine the p-value associated with the hypothesis test examining if there is a statistically significant difference between the proportion of people willing to take risks in the two groups. Round to 3 decimal places. While it may even be questionable that the research team reported a significant result at the 0.05 level based upon our findings in question 1, let’s observe the major impact a slight change makes in our calculation. Recalculate the p-value from part 1, but let’s pretend that 18 of the 22 participants in the high-power group took the gambling risk. This new p-value speaks to the volatility of results when low sample sizes are used. Round this p-value to 3 decimal places.
In the previous year, 40% of women over the age of fifty had regularly scheduled mammograms. Following last year's test, a campaign was initiated to encourage women to be tested regularly. This year, a cancer research group surveys a random sample of 450 women, and 195 respond affirmatively. With a 5% significance level, test to see if the campaign was effective.
The Heldrich Center for Workforce Department found that 45% of Internet users received more than 10 email messages per day. Recently, a similar study on the use of email was reported. The purpose of the study was to see whether the use of email increased. Formulate the null and alterative hypotheses to determine whether an increase occurred in the proportion of Internet users receiving more than 10 email messages per day. If a sample of 420 Internet users found 208 receiving more than 10 email messages per day, what is the p-value? Using α =0.05, what is your conclusion? Apply the critical value method when a = 0.01.
An environmentalist wishes to conduct a hypothesis test on the percentage of cars driven in the city that are hybrids. Is it sufficient for him to use a simple random sample of 173 cars if hybrids currently account for 8%of the car sales in the country and he claims that the percentage of hybrids in the city is higher than that?
In 1990, 58% of Americans 18 years old and older reported they have a great deal of concern regarding air pollution. A recent poll found that 592 of 1004 Americans 18 years old or older stated that they have a great deal of concern regarding the level of air pollution in American. Is there evidence to conclude that the current proportion of Americans having a great deal of concern about the level of air pollution in America is different from the 1990 proportion, with a 10% level of significance? State the null hypothesis, alternative hypothesis, test statistic, p-value and conclusion.

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