Past studies have indicated that the percentage of smokers is estimated to be about 35%. Given the new smoking cessation programs that have been implemented, you now believe that the percentage of smokers has reduced. a) If you going to test this claim at the 0.05 significance level, what would be your null and alternative hypotheses? Ho: p = + HẠ: p< +
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- What is meant by the sample space of an experiment?For the x and observed significance level (P-Value) pair, indicate whether the bull hypothesis would be rejected.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?
- develop a research question that can be addressed with the dependent-samples t test, making sure to state the null and alternative hypotheses (in words)To compare the wearing of two types of automobile engines, 1 and 2, an experimenter chose to "pair" the measurements, comparing the wear for the two types of engines on each of 7 automobiles, as shown below. Determine whether these data are sufficient to infer at the 10% significance level that the two types of engines wear differently. The null and alternative hypotheses are:A national publishing house claims that 27% of all weekly magazine readers in South Africa read their publication. Test this claim at the 5% significance level, if a survey found that 99 out of a random sample of 400 magazine readers said that they read the relevant publication.
- A Gallup poll to survey the top concerns of Americans was conducted. Suppose that 566 women and 465 men were independently and randomly selected and that 322 women and 172 men chose the state of the economy as their biggest concern. Can we conclude that the proportion of women ( p1 ), choosing the state of the economy as their biggest concern, exceeds the proportion of men ( p2 )? Use a significance level of α=0.1 for the test. Step 1 of 6 : State the null and alternative hypotheses for the test. Step 2 of 6 : Find the values of the two sample proportions, pˆ1p^1 and pˆ2p^2. Round your answers to three decimal places. Step 3 of 6 : Compute the weighted estimate of p, p‾p‾. Round your answer to three decimal places. Step 4 of 6 : Compute the value of the test statistic. Round your answer to two decimal places. Step 5 of 6 : Determine the decision rule for rejecting the null hypothesis H0H0. Round the numerical portion of…An author argues that more American-born baseball players have birth dates in the months immediately following July 31 because that was the age cutoff date for nonschool baseball leagues. The table below lists months of births for a sample of American-born baseball players and foreign-born baseball players. Using a 0.01 significance level, is there sufficient evidence to warrant rejection of the claim that months of births of baseball players are independent of whether they are born in America? Do the data appear to support the author's claim? Jan. Feb. March April May June July Aug. Sept. Oct. Nov. Dec. Born in America 387 328 367 343 334 312 315 502 424 434 400 371 Foreign Born 102 82 84 81 95 83 59 90 69 99 104 83 If the null and alternative hypotheses for this test are: H2: Months of births of baseball players are independent of where they are born. H1: Months of births…An author argues that more American-born baseball players have birth dates in the months immediately following July 31 because that was the age cutoff date for nonschool baseball leagues. The table below lists months of births for a sample of American-born baseball players and foreign-born baseball players. Using a 0.01 significance level, is there sufficient evidence to warrant rejection of the claim that months of births of baseball players are independent of whether they are born in America? Do the data appear to support the author's claim? a. Identify the test statistic. (Round to three decimal places as needed.) b. Identify the P-value. (Round to three decimal places as needed.)
- 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 suchSuppose the significance level of a certain hypothesis test is α = 2.5% and the p-value is equal to 0.0255.What is the correct conclusion?A manufacturer of nickel-hydrogen batteries randomly selects 100 nickel plates for test cells, cycles them a specified number of times, and determines that 14 of the plates have blistered. Does this provide compelling evidence for concluding that more than 10% ofplates blister under such circumstances?A) State H0 and Ha B) Test the hypothesis using the P-Value approach at a significance level of 4.5%, and express your decision. C) Based on the given data, determine the extreme value without rejecting the H0.