Given the data responses to the statement: “Women should only run household chores and leave running the country up to men." At a=.01 and a=.05, determine whether there is strong evidence that opinions have become more liberal about women's roles and participation in the labor market between the two periods. State your null and alternative hypothesis b. Compute the test statistic or the Z value c. State your conclusion at a=.05 d. State your conclusion at a=.01 a. Year Response 1990 2020 Agree 20 25 Disagree 300 320
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- In testing hypotheses, which of the following would be strong evidence against the null hypothesis?a. Obtaining data with a test statistic of small magnitude.b. Obtaining data with a small P-value.c. Obtaining data with a large P-value.d. Using a large level of significance, α.e. Using a small level of significance, α"In your response indicate whether CPAs in states that have flat state income tax rates work fewer hours per week during tax season compared to the US average. You will want to formally set up H0 and Ha, report either the test statistic (z-value) or p-value, and explain why you either reject or fail to reject your null hypothesis."For the following cases, you may use either the P-value approach or the rejection region approach to present a full hypothesis test, including: Identifying the claim and H0 and Ha, Finding the appropriate standardized test statistic, Finding the P-value or the rejection region, Deciding whether to reject or fail to reject the null hypothesis, and Interpreting the decision in the context of the original claim. A city planner claims that the mean speed of westbound traffic along a road segment during morning peak hours is less than 50 miles per hour. In a random sample of 45 motor vehicles traveling westbound on the road segment during morning peak hours, the mean speed is 51 miles per hour. Assume the population standard deviation is 5 miles per hour. Perform the appropriate hypothesis test at α = 0.05.
- A fast-food restaurant claims that a small order of french fries contains 120 calories. A nutritionist is concerned that the true average calorie count is higher than that. The nutritionist randomly selects 35 small orders of french fries and determines their calories. The resulting sample mean is 155.6 calories, and the pp-value for the hypothesis test is 0.00093. Which of the following is a correct interpretation of the p-value? A)If the population mean is 120 calories, the p -value of 0.00093 is the probability of observing a sample mean of 155.6 calories or more. B) If the population mean is 120 calories, the p -value of 0.00093 is the probability of observing a sample mean of 155.6 calories or less. C)If the population mean is 120 calories, the p -value of 0.00093 is the probability of observing a sample mean of 155.6 calories or more, or a sample mean of 84.4 calories or less. .D)If the population mean is 155.6 calories, the p -value of 0.00093…For the following scenarios provide the following:• the null and alternative hypotheses• explain whether the hypothesis test is left-tailed, right-tailed, or two-tailed,• explain how you should interpret a decision that rejects the null hypothesis, and• explain how you should interpret a decision that fails to reject the null hypothesis.a. A Don Anderson Poll reports that on average 70% of Jamaicans believe that electricitybills are too high.b. Sunshine Cooperation guarantees that the mean shelf life of cornflakes is at least 750days.c. Consumer Affairs has advised that the standard deviation of the fuel economies of itsHonda Civics for 2016 is no more than 10.7 miles per gallon.d. A meal supplement provider claims that the average difference in calories between twobrands is 55 The Medical Association of Trinidad and Tobago is interested in determining the impact of a newdrug on the cholesterol levels of women. Data was collected from 11 women diagnosed with highcholesterol. The data…For the following scenarios provide the following:• the null and alternative hypotheses• explain whether the hypothesis test is left-tailed, right-tailed, or two-tailed,• explain how you should interpret a decision that rejects the null hypothesis, and• explain how you should interpret a decision that fails to reject the null hypothesis.a. A Don Anderson Poll reports that on average 70% of Jamaicans believe that electricitybills are too high.b. Sunshine Cooperation guarantees that the mean shelf life of cornflakes is at least 750days.c. Consumer Affairs has advised that the standard deviation of the fuel economies of itsHonda Civics for 2016 is no more than 10.7 miles per gallon.d. A meal supplemen