Explain why a level of significance of a = 0 is not used. Why is a level of significance of a = 0 not used? OA. If x=0, the alternative hypothesis cannot be rejected, making the hypothesis test useless. OB. If x=0, the alternative hypothesis is always rejected, making the hypothesis test useless. OC. If α = 0, the null hypothesis cannot be rejected, making the hypothesis test useless. O D. If x=0, the null hypothesis is always rejected, making the hypothesis test useless.
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- Fertilizer: A new type of fertilizer is being tested on a plot of land in an orange grove, to see whether it increases the amount of fruit produced. The mean number of pounds of fruit on this plot of land with the old fertilizer was 391 pounds. Agriculture scientists believe that the new fertilizer may increase the yield. State the appropriate null and alternate hypotheses. The null hypothesis is Ho:μ (choose one) and Answers The alternate hypothesis is H1:μ (choose one) and AnswersA researcher administers a treatment to a sample of participants selected from a population with µ = 90. If a hypothesis test is used to evaluate the effect of the treatment, which combination of factors is most likely to result in rejecting the null hypothesis? a. a sample mean much different than 80 with α = .01 b. a sample mean much different than 80 with α = .05 c. a sample mean near 80 with α = .01 d. a sample mean near 80 with α = .05Refer to the accompanying data table, which shows the amounts of nicotine (mg per cigarette) in king-size cigarettes, 100-mm menthol cigarettes, and 100-mm nonmenthol cigarettes. The king-size cigarettes are nonfiltered, while the 100-mm menthol cigarettes and the 100-mm nonmenthol cigarettes are filtered. Use a 0.05 significance level to test the claim that the three categories of cigarettes yield the same mean amount of nicotine. Given that only the king-size cigarettes are not filtered, do the filters appear to make a difference? Click the icon to view the data table of the nicotine amounts. Determine the null and alternative hypotheses. Ho: H: i Nicotine amounts (mg) 100-mm Nonmenthol King-Size Brand Nicotine (mg) Brand Nicotine (mg) Brand Nicotine (mg) 100-mm Menthol 1 1.7 1 1.4 0.4 1.0 0.9 2 1.1 1.0 1.1 3 0.5 4 1.2 4 0.8 4 1.2 1.5 1.2 1.1 1.2 1.4 0.7 1.3 0.9 1.1 8. 1.0 8 1.1 8. 1.2 9. 1.4 9. 1.3 9. 0.8 10 1.1 10 0.8 10 1.1 Print Done
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- You collect N = 200 frogs from a pond and find that 120 of them are female. You wish to conduct the following hypothesis test (α = 0.05) for p (the proportion of female frogs in the pond): H0 : p = 0.55 HA : p > 0.55 Determine which of the following statements are true. Assume the true p = 0.65. I. The one-sided p-value is 0.1528. II. You reject the null hypothesis H0. III. You fail to reject H0 and make a Type II error. Group of answer choices I and III only III only I only None of the Above II onlyI need help understanding the null hypothesis and when to “reject” or “fail to reject” it. I got 5.77 in 3df and a critical value of 7.82.Consider the following hypothesis test. 2 H: 0,² 2 (a) What is your conclusion if n₁ = 21, s, ² = 4.2, n₂ = 26, and s₂² = 2.0? Use α = 0.05 and the p-value approach. Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject H₂. We cannot conclude that o, ² = 0,². 1 O Do not reject H. We cannot conclude that o O Reject H. We can conclude that a ²0₂². 2 O Do not reject H. We can conclude that , ² *0,² 2 (b) Repeat the test using the critical value approach. Find the value of the test statistic. State the critical values for the rejection rule. (Round your answers to two decimal places. If you are only using one tail, enter NONE for the unused tail.) test statistics test statistic 2 State your conclusion. O Reject H. We cannot conclude that ,2 # 0,₂². O Do not reject H. We cannot conclude that o 2 O Reject H. We can conclude that σ₂² # ₂². O Do not reject H. We can conclude that o
- You collect N = 200 frogs from a pond and find that 120 of them are female. You wish to conduct the following hypothesis test (α = 0.05) for p (the proportion of female frogs in the pond): H0 : p = 0.55 HA : p > 0.55 Determine which of the following statements are true. Assume the true p = 0.65. I. The one-sided p-value is 0.1528. II. You reject the null hypothesis H0. III. You fail to reject H0 and make a Type II error. Group of answer choices None of the Above III only I and III only II only I onlyP-value is -.055 You are asked to make a decision about whether to reject the null hypothesis that the population value of gamma equals 0 (i.e., that there is no ordinary association in the population between frequency of prayer and health). If alpha = 0.05 and you use a non-directional alternative hypothesis, which of the following is true?) A. Since the p-value is larger than alpha, you do not reject the null hypothesis B. Since the p-value is less than alpha, you do not reject the null hypothesis C. Since the p-value is larger than alpha, you reject the null hypothesis. D. Since the p-value is less than alpha, you reject the null hypothesisMovie Theater Attendance: The data shown are the movie admissions, in thousands, of people attending movie theaters over two different time periods. At α = 0.05, is there a difference in the means for the movie attendance for these time periods? Use the traditional method of hypothesis testing unless otherwise specified. State the hypotheses and identify the claim. Find the critical value. Compute the test value. Make the decision. Summarize the results. Return of the Jedi (1983) Harry Potter 5 (2007) 6207 10579 4412 4395 6424 6031 8126 6607 8423 5357 7456 2431 4171 2140 3829 1969 3756 1778 5074 2384 6833 2866 5189 2337