The advertised claim for batteries for cell phones is set at 48 operating hours. The operating hours of 5000 batteries is tested and 0.28% of them failed during the advertised period. Does this experimental result support the claim that less than 0.2 percent of the company's batteries will fail during the advertised period? Use hypothesis testing procedure with α = 0.01. (Hint: The alternative hypothesis is what you might believe to be true or hope to prove true.)
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- A survey by Men’s Health magazine stated that 14% of men said they used exercise to reduce stress. Could this be valid, or is it actually less than what the magazine claims? A random sample of 100 men was selected, and 10 said that they used exercise to relieve stress. If a=0.10, test a hypothesis and state your conclusion in context.According to shopper data, 97% of households purchase toilet paper. An analyst believes this is too low. To investigate, the analyst selects a random sample of 500 households and finds that 98% of them purchase toilet paper. Do these data provide convincing statistical evidence at the α = 0.05 level to conclude that the true proportion of all households that purchase toilet paper differs from 0.97? Complete the “State” step for this test. H0: p = Ha: p where p = the true proportion of all that .Life on Other Planets Forty-five percent of people believe that there is life on other planets in the universe. A scientist does not agree with this finding. He surveyed 110 randomly selected individuals and found 66 believed that there is life on other planets. At α=0.05, is there sufficient evidence to conclude that the percentage differs from 45? Use the P-value method with a graphing calculator. State the hypotheses and identify the claim with the correct hypothesis. H0 : p=0.45 ▼not claim H1 : p≠0.45 ▼claim This hypothesis test is a ▼two-tailed test. Find the P-value. Round the answer to four decimal places. P-value = ___________________
- The manufacturer of Lakas Papaya cleansing soap claimed that their product was effective in making the facial skin blemish-free of at least 93% of users who tested it for a period of 1 week. In a sample of 350 people who had problems with their facial skin, the soap provided blemish-free skin for 295 people. Which of the following represents the alternative hypothesis for this problem? A. Ha: p = 0.93B. Ha: p < 0.93C. Ha: p > 0.93D. H_a: p ≠ 0.93An airline company is interested in improving customer satisfaction rate from the 80% currently claimed. The company sponsored a survey of 103 customers and found that 90 customers were satisfied. Determine whether sufficient evidence exists that the customer satisfaction rate is higher than the claim by the company. a=0.05 z= p=Suppose data shows that only 50% of breast cancer patients can survive more than 5 years. You suspect the percentage is too low, so you'd like to conduct a study to examine this situation. What is the null and alternative hypothesis in this situation?
- The U.S. Office of Personnel Management reports that 51% of federal civilian employees have a bachelor's degree or higher (OPM.gov). A random sample of 95 employees in the private sector showed that 40 have a bachelor's degree or higher. Does this indicate that the percentage of employees holding bachelor's degrees or higher in the private sector is less than in the federal civilian sector? Use α = 0.05.What are we testing in this problem? single proportionsingle mean (a) What is the level of significance?State the null and alternate hypotheses. H0: p = 0.51; H1: p ≠ 0.51H0: μ = 0.51; H1: μ < 0.51 H0: μ = 0.51; H1: μ > 0.51H0: p = 0.51; H1: p > 0.51H0: p = 0.51; H1: p < 0.51H0: μ = 0.51; H1: μ ≠ 0.51 (b) What sampling distribution will you use? What assumptions are you making? The Student's t, since np > 5 and nq > 5.The standard normal, since np < 5 and nq < 5. The standard normal, since np > 5 and nq > 5.The Student's t, since np < 5 and…Go through the steps of ANOVA hypothesis testing to see if you can conclude that there is a difference among population means. Let a = 0.05. Research by Singh et al. as reported in the journal Clinical Immunology and Immunopathology is concerned with immune abnormalities in autistic children. As part of their research they took measurements on the serum concentration of an antigen in three samples of children, all of whom were 10 years old or younger. The results in units per milliliter of serum follow. Autistic Children: 755, 385, 380, 215, 400, 343, 415, 360, 345, 450, 410, 435, 460, 360, 225 Normal Children: 165, 390, 290, 435, 235, 320, 330, 205, 375, 345, 305, 220, 270, 355, 360 Mentally Retarded Children: 380, 510, 315, 565, 715, 380, 390, 245, 155, 335, 295, 200, 105, 105, 245 What is the Sum of Squares between group?Compute the value of the test statistic and conclude.
- Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.A manufacturer claims that 10% of women using the "pill" suffer from side effects. The Federal Drug Administration (FDA) believes that the manufacturer's claim is too low and decides to test the manufacturer's claim at a = 5 %. A random sample of 900 women who use the manufacturer's pill shows that 103 suffer side effects. The sample proportion of women who suffer effects from the pill is: a. 0.1144 Ob. 1.444 OC. 0.1000 d. 0.0144 O e. 0.0743