A senator claims that 60% of her constituents favour her voting policies over the past year. In a random sample of 40 of these people, the sample proportion of those favoured her voting policies was only 0.4. Is this enough evidence to make the senator's claims strongly suspect? (Hint: co
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- Which of the following claims would result in a Left tail test? O A. Claim: The average heart rate for exercisers is lower than the average heart rate for nonexercisers. B. Claim The variation in the grades of the Final Exam are different than previously (which was 2.3). O C. Claim: The proportion of people with pets is over 75%. OD. Claim: The average age of voters in Clarke County is not 45 years.Ann and Sam are both testing the hypothesis that 40% of plain M&M are orange. Ann draws a sample of 150 plain M&M and finds that 45% of her sample is orange. Ann's test statistic is?Among students at a nearby college, the proportion who say they’re interested in their congressional district’s election results has traditionally been 70%. After a series of lackluster debates on campus, a political scientist claims that the proportion, p, of students at the college who say they’re interested in their districts election results is now less than 70%. A pill is commissioned, and 154 out of random sample of 230 students at the college say they’re interested in their districts election results. Is there enough evidence to support the political scientist’s claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table.
- A study considered the question, “Are you a registered voter?” Accuracy of response was confirmed by a check of city voting records. Two methods of survey were used: a face-to-face interview and a telephone interview. A random sample of 93 people were asked the voter registration question face-to-face. Seventy-nine respondents gave accurate answers. Another random sample of 83 people was asked the same question during a telephone interview. Seventy-four respondents gave accurate answers. Assume that the samples are representative of the general population. Test the claim that there is a difference in the proportion of accurate responses from face-to-face compared with telephone interviews. Use alpha=.05 What is the null hypothesis? What is the alternative hypothesis? What distribution are you using? What test are you running? What is your conclusion?In a survey of 1000 adult Americans, 45.7% indicated that they were somewhat interested or very interested in having web access in their cars. Suppose that the marketing manager of a car manufacturer claims that the 45.7% is based only on a sample and that 45.7% is close to half, so there is no reason to believe that the proportion of all adult Americans who want car web access is less than 0.50. Is the marketing manager correct in his claim? Provide statistical evidence to support your answer. For purposes of this exercise, assume that the sample can be considered as representative of adult Americans. Test the relevant hypotheses using ? = 0.05. Find the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z= P-value= chose the conclusion in the context of the problem. a) Reject H0. We do not have convincing evidence that the proportion of all adult Americans who want car web access is less than 0.5. The marketing…According to a recent study in New York, 15% of shoppers are unfairly being charged sales tax in non-taxable items. Mr. Hypothesis feels this proportion is too low. He tests his belief by conducting a survey of 200 random shoppers. Which of the following would be the alternate hypothesis? a. The percent of shoppers unfairly being charged sales tax on non-taxable items < .15 b. The percent of shoppers unfairly being charged sales tax on non-taxable items > .15 c. The percent of shoppers unfairly being charged sales tax on non-taxable items = .15
- The 2006 Statistical Abstract of the United States reports on a survey that asked a national sample of 80,000 American households about pet ownership. Suppose (for now) that one-third of all American households own a pet cat. Still supposing that one-third of all American households own a pet cat, between what two values do you expect 95% of all sample proportions to fall?(6) A student surveys some students on campus in the evening and finds that 16 out of 20of the students she interviewed are part time students. She uses the data to estimatethe percentage of all students who are part time. What type of bias is present in hersample?(7) A pollster surveys people at a boxing match, asking them if they had even strucktheir spouse. Of the 32 people surveyed, 30 said no and the other 2 did not respond.What type of bias is in this sample?A statistical test is conducted to see if there is evidence that the proportion of US citizens who can name the capital city of Mexico is less than 0.6. Use the following possible sample results: Sample A: 19 successes out of 40 Sample B: 22 successes out of 40 Sample C: 24 successes out of 40 Sample D: 26 successes out of 40 State which of the possible sample results provides the most significant evidence for the claim. Sample B Sample D Sample C Sample A
- Which part(s) is it reasonable to say that a. Factor A does not affect the mean of the response variable. b. Factor B does not affect the mean of the response variable. c. neither factor affects the mean of the response variable. Each graph in Fig. C.4 shows a plot of the cell means for a 2 × 2 ANOVA. For each part, using only the graphs, conjecture on the results of the three hypothesis tests. (Note: For convenience we have denoted the two levels of Factor A as A1 and A2.) FIGURE C.4Sierra College students enrolled in an online Elementary Statistics course were asked to participate in an anonymous onlne survey. The survey asked the students "Which type of device will you primarily use to access your online course in Canvas?". Of the 152 students who answered this question, 20 responded "a desktop computer", 121 responded "a laptop computer", 6 responded "a smartphone", and 5 responded "a tablet". The Sierra College Mathematics Department believes that less than 5% of students enrolled in an online Elementary Statistics course primarily uses a smartphone to access their online course in Canvas. Use the data collected in the survey to conduct a hypothesis testing procedure to test this belief. What conclusion should be reached according to the results of this hypothesis test?Last year, 41% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 32% planned to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 55 business owners. Suppose the business owners in the sample do as they plan. Conduct a hypothesis test that can be used to determine whether the proportion of business owners providing holiday gifts had decreased from last year. State the hypotheses.