Determine whether the following situation is true. When performing a hypothesis test for one population proportion with significance level of 5%, using critical value approach or the p-value approach might result in different conclusions. a) True b) False
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Determine whether the following situation is true.
When performing a hypothesis test for one population proportion with significance level of 5%, using critical value approach or the p-value approach might result in different conclusions.
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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.Past studies have indicated that the percentage of smokers was estimated to be about 32%. Given the new smoking cessation programs that have been implemented, you now believe that the percentage of smokers has reduced. You randomly surveyed 1836 people and found that 552 smoke. Use a 0.05 significance level to test the claim that the percentage of smokers has reduced.a) Identify the null and alternative hypotheses?H0H0: H1H1: b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? left-tailed right-tailed two-tailed c) Identify the appropriate significance level.d) Calculate your test statistic. Write the result below, and be sure to round your final answer to two decimal places.e) Calculate your p-value. Write the result below, and be sure to round your final answer to four decimal places.f) Do you reject the null hypothesis? We reject the null hypothesis, since the p-value is less than the significance level. We reject the…A previous study claims that 40% of people own a cat. A researcher believes that proportion has decreased. The researcher takes a random sample of 140 people and finds that 49 of them own a cat. Using a significance level of 0.05, test the claim using a one-proportion hypothesis test.The null and alternative hypothesis would be:The test statisitc is: The p-value is:State the conclusion:
- Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A company claims that its packages of 100 candies are distributed with the following color percentages: 15% red, 21% orange, 12% yellow, 14% brown, 24% blue, and 14% green. Use the given sample data to test the claim that the color distribution is as claimed. Use a 0.025 significance level. E Click the icon to view the color counts for the candy in the package. Click here to view the chi-square distribution table. The test statistic is (Round to two decimal places as needed.) The critical value is (Round to three decimal places as needed.) State the conclusion. Ho. There sufficient evidence to warrant rejection of the claim that the color distribution is as claimed. Candy Package Counts Candy Counts Number in Package Color Red 14 Orange 23 Yellow 10 Brown 7 Blue 27 Green 19 Enter vOur C newer in ooeWhat if a significance level of 0.01 was used instead? Would your decision and conclusion change? State the decision and conclusion based on this new significance level in two complete sentences.In a sample of 1050 adults, it was found that 52% are registered to vote in their state. Use a 0.05 significance level to test the claim that less than 50% of all adults are registered to vote in their state.a. Find the test statistic.b. Find the critical value.c. Find the p-value.d. What is the conclusion about the null hypothesis (reject or fail to reject)?e. What is the final conclusion in nontechnical terms?
- Suppose 202 subjects are treated with a drug that is used to treat pain and 50 of them developed nausea. Use a 0.05 significance level to test the claim that more than 20 % of users develop nausea. A.dentify the null and alternative hypotheses for this test. B. Identify the P-value for this hypothesis test. C.Identify the conclusion for this hypothesis test.(reject or fail to reject and why?) D.Does the accuracy rate appear to be acceptable? (is there or is there not sufficent evidance to reject the claim and why?)According to a survey of 650 Web users from Generation Y, 351 reported using the Internet to download music. a. Determine the sample proportion. b. At the 5% significance level, do the data provide sufficient evidence to conclude that a majority of Generation Y Web users use the Internet to download music? Use the one-proportion z-test to perform the appropriate hypothesis test, after checking the conditions for the procedure.A study of seat belt users and nonusers yielded the randomly selected sample data summarized in the accompanying table. Use a 0.05 significance level to test the claim that the amount of smoking is independent of seat belt use. A plausible theory is that people who smoke are less concerned about their health and safety and are therefore less inclined to wear seat belts, Is this theory supported by the sample data? BB Click the icon to view the data table. Determine the null and alternative hypotheses. O A. Ho: The amount of smoking is dependent upon seat belt use. H₁: The amount of smoking is not dependent upon seat belt use. O B. Ho: Heavy smokers are not less likely than non-smokers to wear a seat belt. H₁: Heavy smokers are less likely than non-smokers to wear a seat belt. OC, Ho: Heavy smokers are less likely than non-smokers to wear a seat belt. H₁: Heavy smokers are not less likely than non-smokers to wear a seat belt. O D. Ho: The amount of smoking is independent of seat belt…
- If the p-value of a hypothesis test is equal to 0.035, then the null hypothesis will be rejected for which cases? SELECT ALL THAT APPLY. a. for a significance level of 0.01 b. for a significance level of 0.10 c. for a significance level of 0.05 d. for a significance level of 0.02(1). Student Score on first test 3 10 11 12 13 14 444 635 616 409 545 605 516 395 561 471 632 387 337 461 Score on second test 450 698 674 448 489 630 496 543 636 558 643 407 374 493 4 8. (c) Calculate d and d = (Type an integer or a decimal. Round to three decimal places as needed.) Calculate sd. (Type an integer or a decimal. Round to three decimal places as needed.) (d) Use the t-test to find the standardized test statistic t. t%3D (Tune an integer or a decimal Round to three decimnal places as neededYAn 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-
