Which of the following hypotheses would be suitable for testing using a statistical test? O Every undergraduate student is at least 16 years old 4 is the only solution to the function ? - 16 = 0 O The average employee is healthy O The average age of undergraduate students is 20
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- Formulate the null and alternate hypotheses for the following situations. (That is, identify the correct number ?0 and write ?0: ? = ?0 and the appropriate analogous expression for ?1). - A statistics instructor believes that less than 20% of the students attended the opening function of a film. He surveys 84 of his students and finds that 11 attended the function.Formulate the null and alternate hypotheses for the following situations. (identify the correct number ?0 and write ?0: ? = ?0 and the appropriate analogous expression for ?1).- The average farm size in a predominantly rural state was 280,851.8 square meter. The secretary of agriculture of that state assures that today it is less. - A statistics instructor believes that less than 20% of the students attended the opening function of a film. He surveys 84 of his students and finds that 11 attended the function.A tax accountant would like to test the claim that the proportion of individuals who owe when filing their taxes is greater than 0.20. If the z− test statistic was calculated as z=1.94, does the tax accountant have enough evidence to reject the null hypothesis? Assume α=0.05.
- Solve the following: a) A random sample of 400 people is interviewed for a relative position. Suppose that 20% of the population supports the proposition. Find the mean b) If a hypothesis test were conducted using alpha = 0.01 for which of the following P value would the null hypothesis is not rejected?The population (in millions) and the violent crime rate (per 1000) were recorded for 10 metropolitan areas. The data are shown in the following table. Do these data provide evidence to reject the null hypothesis that ? = 0 in favor of ? ≠ 0 at ? = .05? (Give your answers correct to three decimal places.) Population 10.4 2 3.4 6 6.2 1.2 2.7 3.1 0.8 5 Crime Rate 12.6 8.9 7.5 8.9 7.8 9.3 8 7.4 8.6 9.3 (a) Calculate r. _______(ii) Calculate the critical region._____ (smaller value) ______(larger value)(b) State the appropriate conclusion. Reject the null hypothesis, there is not significant evidence that ? ≠ 0.Reject the null hypothesis, there is significant evidence that ? ≠ 0. Fail to reject the null hypothesis, there is not significant evidence that ? ≠ 0.Fail to reject the null hypothesis, there is significant evidence that ? ≠ 0.Formulate the null and alternate hypotheses for the following situations. (identify the correct number θ0 and write H0: θ = θ0 and the appropriate analogous expression for H1).- The average farm size in a predominantly rural state was 280,851.8 square meter. The secretary of agriculture of that state assures that today it is less. - A statistics instructor believes that less than 20% of the students attended the opening function of a film. He surveys 84 of his students and finds that 11 attended the function. Thanks
- he population (in millions) and the violent crime rate (per 1000) were recorded for 10 metropolitan areas. The data are shown in the following table. Do these data provide evidence to reject the null hypothesis that ? = 0 in favor of ? ≠ 0 at ? = .05? (Give your answers correct to three decimal places.) Population 9.2 2.6 1.3 6.6 0.4 0.2 2.3 4.3 3.3 0.2 Crime Rate 11.9 9.1 7 8.7 8.1 8.1 9.5 8.5 9 6.7 (ii) Calculate the critical region. (smaller value) (larger 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 ≠ 0.93A new insecticide is advertised to kill more than 95% roaches upon contact. In a laboratory test, the insecticide was applied to 400 roaches and 384 died immediately after contact. Is this sufficient evidence to support the advertised claim? Use α=0.05. (c) p-value for the problem above i
- The recommended daily dietary allowance for zinc among males older than age 50 years is 15 mg/day. An article reports the following summary data on intake for a sample of males age 65−74 years: n = 111, x = 12.4, and s = 6.69. Does this data indicate that average daily zinc intake in the population of all males age 65−74 falls below the recommended allowance? (Use ? = 0.05.)State the appropriate null and alternative hypotheses. H0: ? = 15Ha: ? > 15H0: ? = 15Ha: ? < 15 H0: ? = 15Ha: ? ≤ 15H0: ? = 15Ha: ? ≠ 15 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Do not reject the null hypothesis. There is sufficient evidence that average daily zinc intake falls below 15 mg/day.Reject the null hypothesis. There is sufficient evidence that average daily zinc intake falls below 15 mg/day. Do not reject the null…The population (in millions) and the violent crime rate (per 1000) were recorded for 10 metropolitan areas. The data are shown in the following table. Do these data provide evidence to reject the null hypothesis that ? = 0 in favor of ? ≠(not equal sign) 0 at a = .05? (Give your answers correct to three decimal places.) Population 9.2 2.6 1.3 6.6 0.4 0.2 2.3 4.3 3.3 0.2 Crime Rate 11.9 9.1 7 8.7 8.1 8.1 9.5 8.5 9 6.7 (a) Calculate r.(ii) Calculate the critical region. (smaller value) (larger value)Barry calculates an F-ratio involving the SAT scores of three groups and does NOT reject the null hypothesis. Which of the following is the MOST appropriate conclusion he could draw? Group of answer choices The SAT scores for the three groups are all different from each other. No conclusion can be determined without conducting further analyses. The SAT scores for the three groups are not significantly different. The SAT scores for the three groups are all equal to each other.