Using the 5% significance level does the scientist have sufficient evidence to conclude that: μ < 3000?
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- An automotive company is conducting a survey concerning consumer buying preferences of a particular truck. The company wants to know whether the truck appearance, miles per gallon (MPG), or fixed price most influenced the consumer’s buying decision. A population sample of 500 individuals, both male and female, will be surveyed. State the null and alternative hypothesis if your were to test whether there is any difference in proportion using the three different criterion to purchase the given car based on gender.In a study of high school students at least 16 years of age, researches obtained data summarized in the table below. Test the claim that texting while driving is independent of drinking alchohol and driving. Assume a significance level of 0.05. Drove when Drinking Did not drive when Drinking Totals Texting while Driving 731 3054 3785 No Texting and Driving 156 4564 4720 Totals 887 7618 8505 c) What is the Alternative Hypothesis? d) Which type of test will be used? e) What critical values are there?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:
- Only 10% of registered voters voted in the last election. Will voter participation increase for the upcoming election? Of the 399 randomly selected registered voters surveyed, 52 of them will vote in the upcoming election. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use Select an answerThe coach of a very popular men’s basketball team claims that the average distance the fans travel to the campus to watch a game is 35 miles. The team members feel otherwise. A sample of 16 fans who travel to games was randomly selected and yielded a mean of M= 36 miles and s= 5 miles. Test the coach’s claim at the 5% (.05) level of significance. one-tailed or two-tailed test: State the hypotheses: df= tα or t value for the critical region = sM = t (test statistic)= Decision:A person is directing a hypothesis test, to check: Ho: μ = 5000 verses HA: μ < 5000. Test is to be directed using 10% significance level. To do this test, a random sample was chosen and examined, resulting in a p-value of .035. Using 10% significance level does the person have enough evidence to conclude that; μ < 5000?
- A telephone company claims that more than 15% of its customers have at least two telephone lines. The company selects a random sample of 250 customers and finds that 50 have at least two telephone lines. Does the data support the claim? Use a P- value. Which of the following is correct? a. H0: p = 0.15 versus H1: p = 0.15, reject HO at 0.05 level of significance O b. H0: p ≤ 0.15 versus Hl: p > 0.15, at 0.01 level of reject HO significance c. H0: p ≤ 0.15 versus Hl: p > 0.15, not reject HO at 0.01 level of significance O d. H0: p ≤ 0.15 versus H1: p > 0.15, not reject HO at 0.05 level of significance do doUse the pulse rates in beats per minute of a random sample of adult females listed in the data set that is available below to test the claim that the means is less than 74 b. p.m. Use a 0.10 significance level.Suppose 230 subjects are treated with a drug that is used to treat pain and 52 of them developed nausea. Use a 0.10 significance level to test the claim that more than 20% of users develop nausea. Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. H0:p=0.20 H1:p>0.20 B. H0:p=0.20H1: p≠0.20 C. H0:p=0.20 H1:p<0.20 D. H0:p>0.20 H1:p=0.20 Identify 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 survey across generations of workers gathered data on engagement at work. The results for a sample of 1,000 workers are in the accompanying contingency table. At the 0.10 level of significance, is there evidence of a significant relationship between generation and level of engagement in the workplace? E Click the icon to view the contingency table. What are the null and alternative hypotheses to test? H,: No relationship exists between generation and level of engagement. H,: A relationship exists between generation and level of engagement. Generation and level of engagement Calculate the test statistic. XŠTAT =O GENERATION LEVEL OF ENGAGEMENT Millennials Gen Xers Baby Boomers Traditionalists Total Engaged Not Engaged Actively Disengaged Total (Round to two decimal places as needed.) 104 111 97 16 328 188 165 127 18 498 59 60 50 5 174 351 336 274 39 1,000 Print DoneA newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper took a SRS of n=1300 registered voters and found that 670 would vote for the Republican candidate. Let p represent the proportion of registered voters in the state who would vote for the Republican candidate.We test Ho: p=.5 Ha: p>.5 What is the -statistic for this test? What is the P-value of the test?When conducting a significance test in practice, how should you choose the alpha level? a) Always use alpha=0.05 since it's the most appropriate for every situation. b) Always use alpha=0.05 since it's the most commonly used one. c) Use a larger alpha when the consequences of mistakenly rejecting the null hypothesis are more serious. d) Use a smaller alpha when the consequences of mistakenly rejecting the null hypothesis are more serious.
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