Find the P-value for the indicated hypothesis test with the given standardized test statisticz. Decide whether to reject H_{0} for the given level of significance a Right-tailed test with test statistic z = 1.16 and alpha = 0.07
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Find the P-value for the indicated hypothesis test with the given standardized test statisticz. Decide whether to reject H_{0} for the given level of significance a Right-tailed test with test statistic z = 1.16 and alpha = 0.07
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- A survey about allergic reactions revealed that 84 out of randomly selected 158 people exhibit allergic symptoms. The percentage of the whole country is believed to be 25% for such allergic symptoms. Find the test statistic for hypothesis testing at right tail. (Sensitivity 0.00)A manufacturing company produces water filters for home refrigerators. The process has typically produced about 4% defective liters. A new design experiment has led to change the seal to reduce defects. With the process running using the new seal, a random sample of 300 liters yielded 7 defects. Conduct a hypothesis test at the 10% significance level. 1. Set up the null and alternative hypotheses.2. Compute the test statistic.3. State the p-value for the test. Also, state the decision and conclusion of the test in context. Please show your work, Thanks!A firework fuse is designed to have an average burn-time of 5 seconds before ignition. For liability reasons, the company that makes these fuses undergoes random testing to make sure that its fuses meet this standard. A random sample of 20 fuses results in an average burn-time of 5.3 seconds with a sample standard deviation of 0.7 seconds. Assuming the burn-time for an individual fuse is normally distributed, perform the appropriate hypothesis test at a 5% significance level to determine if the fuses perform according to design.
- Determine the conclusion to the hypothesis test with a test statistic of 1.78 for two samples with known sigma given Null: uA-uB=0 vs. Alternative: uA-uB>0 and 5% level of significance. Should you reject or fail to reject null hypothesis?Two different types of injection-molding machines are used to form plastic parts. A part is considered defective if it has excessive shrinkage or is discolored. Two random samples, each of size 300, are selected, and 15 defective parts are found in the sample from machine 1, and 8 defective parts are found in the sample from machine 2. Construct a 95% confidence interval on the difference in the two proportions. Provide a practical interpretation of this interval.With a population standard deviation of 48, it is known on average that 39% of Chinese people are willing to be vaccinated. A survey was conducted among 30 Chinese people regarding their willingness to be vaccinated. Based on the result, all 30 respondents were willing. Using a 5% level of significance, conduct the four-step model for hypothesis testing (State the hypotheses, Select the alpha level (level of significance), Compute the test statistic, Interpret the result).
- A random sample of 831 births included 433 boys. Use a 0.10 significance level to test the claim that 50.8% of newborn babies are boys. Do the results support the belief that 50.8% of newbrn babies are boys? Identify H0 and H1. Identify the test statistic for this hypothesis test. identify the p-value. Identify the conclusion for this hypothesis test. Do the results support the belief that 50.8% of newborn babies are boys?a) appropriate test statisticb) observed valuec) p value and if suggests strong evidence against null hypothesisIn a randomized controlled trial, insecticide-treated bednets were tested as a way to reduce malaria. Among 343 infants using bednets, 15 developed malaria. Among 279 infants not using bednets, 32 developed malaria. Use a 0.05 significance level to test the claim that the incidence of malaria is lower for infants using bednets. a. What are the null and alternative hypotheses? Identify the test statistic. Identify the P-value What is the conclusion for this test? b. Let the infants using bednets be sample 1 and let the infants not using bednets be sample 2. Use a 0.05 significance level to construct a confidence interval. What is the conclusion for the confidence interval? c. Based on the results, do the bednets appear to be effective?
- A small diner gets its eggs from two different suppliers. Uniformity of the weight of the eggs is an important quality parameter on which the suppliers are judged. A sample of 35 eggs from supplier A had a standard deviation in weight of 1.2 gm, while a sample of 45 eggs from supplier B had a standard deviation of 0.85 gm in weight. Construct a 98% confidence interval for the standard deviation of the weight of eggs provided by supplier A. At a 2% significance, conduct the appropriate hypothesis test to determine if there is any difference in the standard deviation of weight of eggs provided by the two suppliers.In 2015, the average duration of long-distance telephone calls from a certain town was 9.4 minutes. A telephone company wants to perform a test to determine whether this average duration of long-distance calls has changed. Twenty calls, originating from the town, was randomly selected and the mean duration was 10.2 minutes with standard deviation 4.8 minutes. Construct the 99% confidence interval for the population mean duration of the long- distance calls from the town Using a 1% level of significance. a) Give the null and alternative hypothesis of this test.A random sample of 796 subjects was asked to identify the day of the week that is best for quality family time. Consider the claim that the days of the week are selected with a uniform distribution so that all days have the same chance of being selected. The table below shows goodness-of-fit test results from the claim and data from the study. Test that claim using either the critical value method or the P-value method with an assumed significance level of α=0.05. Num Categories 7 Test statistic, χ2 2488.877 Degrees of freedom 6 Critical χ2 12.592 Expected Freq 113.7143 P-Value 0.000 All days of the week have an equal chance of being selected. At least one day of the week has a different chance of being selected. Identify the test statistic x2=___ (Type an integer or a decimal.) Identify the critical value. x2=___ (Type an integer or a decimal.) State the conclusion. (reject/fail to reject) H0. There (is not/is) sufficient evidence…