A random sample of 841 births included 430 boys. Use a 0.05 significance level to test the claim that 50,7% of newbon babies are boys. Do the results support the belief that 50.7% of newborn babies are boys? Identify the null and alternative hypotheses for this test. Choose the correct answer below. YA. Ho:p= 0.507 H4: p+0.507 O B. Ho: p=0.507 H:p>0.507 OC. Ho: p=0.507 H:p<0.507 O D. Ho: p0.507 H:p=0.507 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is. (Round to two decimal places as needed.)
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- What is meant by the sample space of an experiment?A sample poll of 500 voters from Michigan and 300 voters from Wisconsin showed that 51% and 49% is in favor of Donald Trump, respectively. At a significance level of 0.05, and using two-tailed test: a.) What should be the good hypotheses? b.) What is the t-value/z-value? c.) Is there is a difference between the two states?A magazine reported that 47% of Canadians are confident they will take a winter vacation at some point between December through March. To test the magazine's claim, a random sample of 65 Canadians is taken and 27 of them said they are confident they will take a winter vacation at some point between December through March. At 5% significance level do the sample data provide sufficient evidence to support that the actual percentage is smaller than what the magazine reported? A. What are the null and alternative hypotheses?(Type "mu" for the symbol μ, "xbar" for the symbol x¯, "p" for the symbol p, or "phat" for the symbol ?̂ p^, e.g. mu > 0.5 for the mean is greater than 0.5, xbar < 0.5 for the sample mean is less than 0.5, p not = 0.5 for the proportion is not equal to 0.5, phat = 0.5 for the sample proportion is equal to 0.5.Percentages should be provided as values between 0 and 1. Please do not include units.) H0 = Ha = B. What is the test statistic value? (Include as many…
- In 1945,an organization asked 1502 randomly sampled American citizens, "Do you think we can develop a way to protect ourselves from atomic bombs in case others tried to use them against us?" with 795 responding yes. Did a majority of the citizens feel the country could develop a way to protect itself from atomic bombs in 1945?Use the α=0.01 level of significance. What are the null and alternative hypotheses? Upper H0: pp equals= 0.5 versus Upper H1: pp greater than> 0.5 (Type integers or decimals. Do not round.) Determine the test statistic, z0. z0 equals=nothing (Round to two decimal places as needed.)In 1997, a survey of 800800 households showed that 132132 of them use e-mail. Use those sample results to test the claim that more than 15% of households use e-mail. Use a 0.05 significance level. Use this information to answer the following questions. a. Which of the following is the hypothesis test to be conducted? A. Upper H 0 : p equals 0.15H0: p=0.15 Upper H 1 : p not equals 0.15H1: p≠0.15 B. Upper H 0 : p equals 0.15H0: p=0.15 Upper H 1 : p less than 0.15H1: p<0.15 C. Upper H 0 : p greater than 0.15H0: p>0.15 Upper H 1 : p equals 0.15H1: p=0.15 D. Upper H 0 : p equals 0.15H0: p=0.15 Upper H 1 : p greater than 0.15H1: p>0.15 Your answer is correct. E. Upper H 0 : p less than 0.15H0: p<0.15 Upper H 1 : p equals 0.15H1: p=0.15 F. Upper H 0 : p not equals 0.15H0: p≠0.15 Upper H 1 : p equals 0.15H1: p=0.15 b. What is the test statistic? zequals=nothing (Round to two decimal places as needed.) What is it the…The drug Ritalin is designed to stimulate the central nervous system. In a random sample of 252 boys aged ten – twelve years old, it was found that 44 of the boys were taking Ritalin. It is known that the proportion of all boys aged 13 – 15 who take Ritalin is 24%. A researcher claims that the population proportions of boys who take Ritalin aged 10 – 12 is different than boys aged 13 – 15. Can you support this claim at the 5% significance level? a. Conduct a hypothesis test to test the claim at the 5% significance level. Be sure to state you Ho and Ha, your test statistic and p-value, whether or not you reject Ho and whether you support the claim. b. Show that you can use the large sample methodology. c. Write a complete sentence describing what a Type I error is in context.
- Based on your answer in (a), what would be the results of testing the hypothesis when using the 0.01 significance level? Explain why you result is as suchSince the instant replay system for tennis was introduced at a major tournament, men challenged 1427 referee calls, with the result that 415 of the calls were overturned. Women challenged 739 referee calls, and 229 of the calls were overturned. Use a 0.01 significance level to test the claim that men and women.m have equal success in challenging calls. What is the conclusion based on the hypothesis test? 1) The P-value is ________ Less than or greater than ? 2) The significance level of a= 0.01, so _______ the null hypothesis. fail to reject or rejection? 3) There ______evidence to warrant rejection of the claim that women and men have equal success in challenging calls is sufficient or is not sufficient?A random sample of 844 births included 431 boys. Use a 0.10 significance level to test the claim that 50.5% of newborn babies are boys. Do the results support the belief that 50.5% of newborn babies are boys? Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. H0: p=0.505 H1: p<0.505 B. H0: p=0.505 H1: p≠0.505 Your answ C. H0: p≠0.505 H1: p=0.505 D. H0: p=0.505 H1: p>0.505 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. Fail to reject H0. There is not sufficient evidence to warrant rejection of the claim that 50.5% of newborn babies are boys. B. Reject H0. There is not…
- According to the Centers for Disease Control and Prevention (CDC), the mean BMI of U.S. men of age 40–49 years old is 28.4 Using the provided sample data file, conduct a one-sample ?-z-test of a mean to test whether the mean BMI of men of age 40–49 years old who smoke daily is lower than 28.4. Conduct the ?-z-test at a significance level of ?=0.05 to test the null hypothesis, ?0:?=28.4, against the alternative hypothesis, ?1:?<28.4, where ?μ represents the mean BMI of U.S. men of age 40–49 who smoke daily. Assume that the population standard deviation of BMI, ?σ, is 8.346 The sample data provided contain BMI results collected from a 2015 survey conducted by the National Center for Health Statistics for men of age 40–49 who smoke daily. Calculate the sample mean, ?⎯⎯⎯x¯, for this data. Give your answer precise to at least one decimal place. Calculate the sample mean, ?⎯⎯⎯x¯, for this data. Give your answer precise to at least one decimal place. Compute the standard deviation, SD, of…Kevin, a Human Resources professional, would like to make the claim that the average hourly wage for administrative workers at his company is less than $9.69. Kevin samples 15 workers and obtains a sample mean of $8.80 per hour. At the 1% significance level, should Kevin reject or fail to reject the null hypothesis given the sample data below?Suppose that we are testing a null hypothesis H0 about a populationproportion, using p-value techniques. If we are using a single set of data, which of the following are notpossible? (Select all that apply. You do not need to explain.)(a) We reject H0 at the 0.10 significance level, and reject H0 at the 0.05 significance level.(b) We reject H0 at the 0.10 significance level, and fail to reject H0 at the 0.05 significance level.(c) We fail to reject H0 at the 0.10 significance level, and reject H0 at the 0.05 significance level.(d) We fail to reject H0 at the 0.10 significance level, and fail to reject H0 at the 0.05 significance level