MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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In a study of the accuracy of fast food drive-through orders, one restaurant had
40
orders that were not accurate among
310
orders observed. Use a
0.01
significance level to test the claim that the rate of inaccurate orders is equal to 10%.
The test statistic for this hypothesis test is what?
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- A business owner claims that the proportion of take out orders is greater than 25%. To test this claim, the owner checks the next 250 orders and determines that 60 orders are take out orders The following is the setup for this hypothesis test: Ho :p 0.25 Ha p>0.25 In this example, the p-value was determined to be 0.643. come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%) Select the correct answer below: O The decision is to reject the Null Hypothesis. The conclusion is that there is enough evidence to support the claim. The decision is to fail to reject the Null Hypothesis. The conclusion is that there is not enough evidence to support the claim.arrow_forwardThe Bureau of Labor Statistics reports that the official unemployment rate for Black people was 10.4% and 4.7% for White people in February 2015. Select all correct answers for this question. O The samples of white and black people are independent. The explanatory variable is the unemployment rate. The response variable is the unemployment rate. The response variable is race.arrow_forwardAccording 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:arrow_forward
- Example: Assume that adults were randomly selected for a poll. They were asked if they "favor or oppose using federal tax dollars to fund medical research using stem cells obtained from human embryos.” Of those polled, 480 were in favor and 394 were opposed. A politician claims that people don’t really understand the stem cell issue and their responses to such questions are random responses equivalent to a coin toss. Use a 0.01 significance level to test the claim that the proportion of subjects who respond in favor is equal to 0.5. What does the result suggest about the politician’s claim? Following the hypothesis test steps, let’s first identify the claim and the null and alternative hypotheses: For this example, the original claim is that the proportion of the subjects who responded in favor is equal to 0.5 (half – since the politician compared their responses as equivalent to a coin toss). The symbolic form of the politician’s claim can be expressed as p = 0.5. Also notice…arrow_forwardIn a clinical trial of a drug intended to help people stop smoking, 125 subjects were treated with the drug for 12 weeks, and 14 subjects experienced abdominal pain. If someone claims that more than 8% of the drug's users experience abdominal pain, that claim is supported with a hypothesis test conducted with a 0.05 significance level. Using 0.17 as an alternative value of p, the power of the test is 0.95. Interpret this value of the power of the test. The power of 0.95 shows that there is a % chance of rejecting the hypothesis of p = when the true proportion is actually That is, if the proportion of users who experience abdominal pain is actually then there is a % chance of supporting the claim that the proportion of than 0.08. users who experience abdominal pain is (Type integers or decimals. Do not round.)arrow_forwardIf a hypothesis test were conducted using a 5% level of significance, for which of the following p-values would the null hypothesis be rejected? A. 0.0367 B. 0.0501 C. 0.100 D. 0.299arrow_forward
- A poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.01 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to agree, or is there a substantial difference? identify the null and alternative hypothesis What is the test statistic? What is the p-value? What is the critical value? Human activity Natural patterns Don't know Male 343 150 28 Female 356 173 30 Chi-Square Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.005 1 - - 0.001 0.004 0.016 2.706 3.841 5.024 6.635 7.879 2 0.010 0.020 0.051 0.103…arrow_forwardAn Office of Admission document claims that 55.6% of UVA undergraduates are female. To test this claim, a random sample of 205 UVA undergraduates was selected. In this sample, 55.4% were female. Is there sufficient evidence to conclude that the document's claim is false? Is the percent of undergraduate females different from what is claimed? Carry out a hypothesis test at a 9% significance level. A. The value of the standardized test statistic (give to at least 3 decimal places): B. The p-value is (give to 4 decimal places) C. Your decision for the hypothesis test: OA. Do Not Reject Ho OB. Reject H,- OC. Do Not Reject H1. OD. Reject Ho-arrow_forward
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