English Air continually monitors the proportion of overweight items checked by passengers on its flights in order to evaluate the appropriateness of their overweight fees. Recently, a random sample of 231 items checked on English Air flights to North America contained 44 overweight items, and an independent, random sample of 248 items checked on English Air flights within Europe contained 29 overweight items. Based on these samples, can we conclude, at the 0.10 level of significance, that there is a difference between the proportion p₁ of all items on English Air flights to North America that are overweight and the proportion P₂ of all items on English Air flights within Europe that are overweight? Perform a two-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 parts below. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho :O H₁ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the two critical values at the 0.10 level of significance. (Round to three or more decimal places.) and 0 (e) Can we conclude that the proportion of items that are overweight is different between the two types of English Air flights? O Yes O No F H Ix X 4 09 a X S ê 2 Р 0=0 OSO 020 0#0 O

Results from the National Health and Nutrition Examination Survey (NHANES) conducted thirty years ago revealed that out of 378 randomly selected adults in the United States 57 were considered to be obese. In this year’s National Health and Nutrition Examination Survey, out of 426randomly selected adults in the United States 135 were considered to be obese. Based on these results, can one conclude, at the 0.01 level of significance, that the percentage of adults in the United States that are obese is considerably higher now than it was thirty years ago?

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-bom baseball players and foreign-bom baseball players. Using a 0.05 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. 345 333 311 314 499 420 Bom in America Foreign Born 385 332 383 101 83 431 400 371 100 103 82 84 82 94 84 59 92 69 Identify the null and alternative hypotheses for this test O A. H: The frequency of births is independent of the month. H: The frequency of births is dependent of the month. OB. H: The frequency of births is dependent of the month. H: The frequency of births is independent…

In a recent year, 73% of first-year college students responding to a national survey identified “being very well-off financially” as an important personal goal. A state university finds that 132 of an SRS of 200 of its first-year students say that this goal is important. Is there good evidence that the proportion of all first-year students at this university who think being very well-off is important differs from the national value, 73%? Carry out a significance test to help answer this question. Construct and Interpret a 95% confidence interval for the proportion of all first-year students at the university who would identify being well-off as an important personal goal. What additional information does the confidence interval provide?

In a certain school district, it was observed that 29% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 130 out of 373 students are only children. The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the a = 0.05 level of significance. What is the hypothesized population proportion for this test? P =0.34 (Report answer as a decimal accurate to 2 decimal places. Do not report using the percent symbol) Based on the statement of this problem, how many tails would this hypothesis test have? one-tailed test two-tailed test Choose the correct pair of hypotheses for this situation: (C) (В) (A) Ho: p 0.29 Ho:p 0.29 Ho:p 0.29 H p 0.349 Ha p (F) (E) 0.349 (A) (B) (C) (D) (E) (F) N a e W

A health insurance company wants to determine if more than 25% of US residents have been to a hospital emergency room within the past year. It was found that in a sample of 1000 people, 28% indicated that they had been to an emergency room within the past year. With a significance level of 0.01, is there evidence to suggest that the proportion of US residents that have been to the emergency room in the past year is actually higher than 25%?

What is the value of the standard score for the sample proportion?

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…

In a previous poll, 37% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 396 of 1132 adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased? Use the a= 0.05 significance level. Because npo (1-pPo) = 10 and the sample size is (Round to one decimal place as needed.) 5% of the population size, and the sample V the requirements for testing the hypothesis V satisfied What are the null and alternative hypotheses? V versus H, O Ho (Type integers or decimals. Do not round.) Find the test statistic, Zo Z0= (Round to two decimal places as needed.) Find the P-value P-value = (Round to three decimal places as needed.) Is there sufficient evidence that the proportion of families with children…