10.55 A marketing expert for a pasta-making com- pany believes that 40% of pasta lovers prefer lasagna. If 9 out of 20 pasta lovers choose lasagna over other pas- tas, what can be concluded about the expert's claim? Use a 0.05 level of significance.
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- A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 314 people over the age of 55, 73 dream in black and white, and among 291 people under the age of 25, 12 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval. The 98% confidence interval isAstudy was conducted to determine the proportion of people who dream in black and white instead of color. Among 317 people over the age of 55, 63 dream in black and white, and among 300 people under the age of 25, 17 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dreamn tackand white is greater than the proportion for those under 25. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and altenative hypotheses for the hypothesis test? OA. Ho P =P2 H, P P2 O B. Ho P1 SP2 H,: P, #P2 O C. Ho P1 #P2 H, P, = P2 O D. H, P1 =P2 H P P2 O E. H, P1 =P2 H,: P,A researcher assures that in his country, on average, the salary of workers is less than $5000.00. He takes a sample of 7 workers and finds that their salary is: $3900.00, $5100.00, $3100.00, $5500.00, $2700.00, $4500.00, $4100.00 Can you be sure at the 0.02 level of significance that the researcher is correct? Choose 1. The correct conclusion2. The correct interpretation Select one:to)1. H0 is rejected2. With a confidence of 98% it can be ensured that the average wage of the workers is not less than $5000.00b)1. H0 is not rejected2. With a confidence of 98% it can be ensured that the average wage of the workers is not less than $5000.00c)1. H0 is not rejected2. It can be ensured, with 98% confidence, that the average wage of the workers is less than $5,000.00d)1. H0 is rejected2. It can be ensured, with 98% confidence, that the average wage of the workers is less than $5,000.00A medical school claims that more than 28% of its students plan to go into general practice. It is found that among a random sample of 130 of the school's students, 39% of them plan to go into general practice. You wish to conduct a significance test to evaluate the school's claim.The US Department of Energy reported that 49% of homes were heated by natural gas. A random sample of 342 homes in Oregon found that 143 were heated by natural gas. Test the claim that proportion of homes in Oregon that were heated by natural gas is different than what was reported. Use a 10% significance level. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) Ho: Select an answerv?Vv H: Select an answerv Check Answer ip % 8.The accompanying table shows results of challenged referee calls in a major tennis tournament. Use a 0.05 significance level to test the claim that the gender of the tennis player is independent of whether a call is overturned. Was the Challenge to the Call Successful? Yes No Men 246 790 Women 351 550In a survey, 37% of the respondents stated that they talk to their pets on the telephone. A veterinarian believed this result to be too high, so he randomly selected 200 pet owners and discovered that 73 of them spoke to their pet on the telephone. Does the veterinarian have a right to be skeptical? Use the a = 0.1 level of significance. Because npo (1- Po) 10, the sample size is 5% of the population size, and the sample the requirements for testing the hypothesis satisfied. (Round to one decimal place as needed.) Enter your answer in the answer box and then click Check Answer. ? 4 parts remaining Clear All Check Answer Screen Shot 202...png Show AllA survey of 1031 adults in a college asked whether they liked chocolate or strawberry ice cream more. Of those surveyed, 536 said they prefer chocolate. Determine and interpret the sample proportion. At the 5% significance level, does the data provide sufficient evidence to conclude that a majority of students in the college prefer chocolate ice cream?Researchers reported a study in which 409 domestic violence defendants were randomly assigned to counseling and probation (the experimental group) or just probation (the control group). Out of people 238 in the counseling group, 51 were arrested within 12 months. Out of 171 people assigned to probation,41 were arrested within 12 months. Determine whether counseling lowered the arrestrate; use a 0.05 significance level. Start by comparing the percentages. 1. Write the hypothesis for the test. Ho ___ Ha ____ 2. z = ___ (Round to two decimal places asneeded.) 3. p-value = ____ (Round to three decimal places asneeded.) 4. What is the conclusion for this test? Use a significance level of 0.05.18. The governor of New York has banned selling or purchasing "large" soft drinks, where a "large" is defined as being more than 16 oz. Sonic, famous for its Route 44 drinks is interested in estimating the proportion of New Yorkers that favor this ban. From a random survey of 800 New Yorkers, 375 answered no to the question, “Do you favor the governor's ban on 'large' soft drinks?" a. Find a 97.5% confidence interval for the proportion of New Yorkers who favor the ban on "large" soft drinks. b. Interpret the confidence interval. c. Can you conclude with 97.5% confidence that a majority of New Yorkers favor the ban on "large" soft drinks? Why or why not. d. Without doing any other calculations, can you be 99% confident that a majority of New Yorkers favor the ban on “large" soft drinks?For clothing, the accompanying symbol has been designated to indicate that the product should be dry- cleaned only. In a survey of 2000 Americans, 45% correctly knew what the symbol designated. Use a 0.01 significance level to test the claim that fewer than half of all Americans know what the symbol designates.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.SEE MORE QUESTIONS