There are different guidelines for calcium intake for children age 5-10 those aged 11-13. A study was conducted to determine if children consumed an adequate amount of calcium and yielded the following results. Met requirements No Yes Age 5-10 194 861 Test the null hypothesis that there are no differences between the two age groups in the proportion which met the requirements. Use a 5% level of significance. The value of the test statistic and the decision are z=0.804; do not reject the null hypothesis z=18.08; reject the null hypothesis z=21.62; reject the null hypothesis Age 11-13 557 417 z=41.21; reject the null hypothesis
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- The following table shows results from a General Social Survey on belief in the afterlife, classified by gender. Conduct all steps of a significance test, using α = 0.05, to compare the population proportions of females and males who would respond yes to belief in an afterlife? What was the estimated proportion of males wbo believe in the afterlife? What was the estimated standard error of males who believe in the afterlife? What is the estimated difference in proportion between males and females who belief in the afterlife? State the null and alternative hypothesis in the context of this study.A hospital reported that the normal death rate for patients with extensive burns (more than 40% of skin area) has been significantly reduced by the use of new fluid plasma compresses. Before the new treatment, the mortality rate for extensive burn patients was about 60%. Using the new compresses, the hospital found that only 44 of 93 patients with extensive burns died. Use a 1% level of significance to test the claim that the mortality rate has dropped. A) What is the value of the sample test statistic? (Round your answer to two decimal places.) B) what is the P value C) Will you reject or fail to reject the null hypothesisA store that sells LPG claims that the mean weight of their tanks are exactly 11-kgs as prescribed. Using a random sample of 15 LPG tanks, a regular customer tests the theory that the average weight of the store's tanks are somehow lower than the prescribed weight. Use a significance level of α=0.10
- A consumer group is investigating a producer of diet meals to examine if its prepackaged meals actually contain the advertised 6 ounces of protein in each package. Based on the following data, is there any evidence that themeals do not contain the advertised amount of protein? Run the appropriate test at a 5% level of significance. What is the p-value of the test?A cellular telephone manufacturer that entered the post-regulation market quickly has an initial problem with excessive customer complaints and consequent returns of cell phones for repair or replacement. The manufacturer wants to estimate the magnitude of the problem in order to design a quality control program. How many cellular telephones should be sampled and checked in order to estimate the proportion that is defective to within 1% with 90% confidence? A cellular telephone manufacturer that entered the post-regulation market quickly has an initial problem with excessive customer complaints and consequent returns of cell phones for repair or replacement. The manufacturer wants to estimate the magnitude of the problem in order to design a quality control program. How many cellular telephones should be sampled and checked in order to estimate the proportion that is defective to within 1% with 90% confidence? 42 68 6766 2025 9604In a recent poll 1011, randomly selected adults were asked whether they approve of labor unions;57% said yes. In 1936, about62%of adults approved of labor unions. At the 1% significance level, do the data provide sufficient evidence to conclude that the percentage of adults who approve of labor unions has decreased since 1936? What are the hypotheses for the one-proportion z-test? H0: p= Ha: p(they want to know if it is- ≠, less than or greater than) (Type integers or decimals.) What is the test statistic? z= (Round to two decimal places as needed.) Identify the P-value. The P-value is...? (Round to four decimal places as needed.) BLESS YOU FOR BEING SMART
- In a previous poll, 43% 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, 470 of 1145 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 α=0.01 significance level. Find the test statistic, z0.A home improvement company is interested in improving customer satisfaction rate from the 55% currently claimed. The company sponsored a survey of 240 customers and found that 147 customers were satisfied. What is the test statistic z? What is the p-value? Does sufficient evidence exist that the customer satisfaction rate is different than the claim by the company at a significance level of a=0.05?A computer manufacturer believes that the proportion of hardware malfunctions is different in humid climates than in dry climates. To test this claim, the manufacturer takes a random sample of 400 machines sold in Florida (humid) and 400 machines sold in Arizona (dry). The manufacturer finds that 44 of the machines in Florida and 24 of the machines in Arizona had hardware malfunctions. Compute the p-value. Does the evidence support the computer manufacturer's claim at the 10% significance level?
- A presidental candidate's aide estimates that, among all college students the propotion p who intend to vote in the upcoming election is at most 65%. If 186 out of a random sample of 260 college students expressed an intent to vote, can we reject the aid's estimate at 0.1 level significance? What is the type of statistic? what is the value of the test statistic? What is the p-value? Can we reject the aide's estimate that the proportion of college students who intend to vote is at mostEnglish 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.)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, 418 of 1183 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 α=0.05 significance level. Find the test statistic, z0. Find the p-value.