If other factors are held constant, increasing the alpha level from .01 to .05 will increase the likelihood of rejecting the null hypothesis. O True O False
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- Using the following hypotheses: HO: μ ≥ 250 HA: μ< 250 If you select a random sample of 100, o = 20 and you are using a = 0.025, compute the probability of a Type II error if the population mean is actually 245. Type II Error =A major auto dealer has recently unleashed a new advertising campaign for its line of 4-wheel-drive vehicles. Knowing that previously 31% of all people who saw the commercial and came to visit the dealership purchased one of those cars, they would like to see if the new commercial improves on those chances. Let p represent the proportion of all car buyers who would see the new ad and then purchase that car, so that the null hypothesis is p = 0.31. LUSE SALT (a) Which of these is the correct alternative hypothesis? ⒸH:p> 0.31 OH: P = 0.31 OH: P<0.31 OH: P+ 0.31 (b) Suppose a sample of 50 people see the ad and 40% of those purchase the car. Is 40% a parameter or a statistic? O parameter statistic (c) Suppose 40% of a sample of 50 consumers purchase the car. That would lead to what P-value in deciding whether you have sufficient evidence that the new ad is an improvement over the old one? (Use a table or technology. Round your answer to four decimal places.) P-value = (d) Suppose that 40%…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 Answers
- A recent study found that 18 out of 30 students believe that 8 AMs are tougher than other class times. Research at the beginning of the semester found that 43% of the class felt that 8 AMs are tougher than other class times. The professor is curious if this means 8 AMs are indeed tougher than other class times. Which of the following is the null hypothesis? 1. Ho: p > 0.43 2. Ho: p = 0.43 3. Ho: p < 0.43 4. Ho: p != 0.43 Which of the following is the alternate hypothesis? Group of answer choices 1. Ha: p = 0.43 2. Ha: p < 0.43 3. Ha: p > 0.43 4. Ha: p != 0.43 What is the Z score of our test statistic?Ex K A 2 Consider a sample of 49 football games, where 30 of them were won by the home team. Use a 0.10 significance level to test the claim that the probability that the home team wins is greater than one-half. W S Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. Ho: p=0.5 H₁: p>0.5 OB. Ho: p=0.5 H₁: p0.5 H₁: p=0.5 D Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) X mmand дв Monroe's Temp....docx. Removed 3 8.0 E D C $ 4 FA R F W SAMPLE Persuas....pdf % 5 V V T G 6 A B MacBook Air & Y 5373255 (1) (1).docx H & 7 U N * 8 J A DII 1 M ( 9 5373255 (1).docx K O < 1 H O L F 10 Clear all P Л. ... I PR { + Check answer ? command option Show All 1 F12 X L 1 deA random sample of size 25 from a normal population has a mean of x-bar = 62.8 and s = 3.55. If you were to test the following hypothesis at the .05 level of significance. The value of the test statistic is Họ: H = 60 %3D Họ: H+60 O-3.94 O 0.79 -0.79 O 3.94 O 2.8
- In a sample of 40 people 65% are black. Test the null hypothesis that the population proportion of black = 0.4 against the alternative hypothesis that proportion is not equal to 0.4. Find the p-value. O A. 0.0578 O B.0.0012 OC.0.5271 O D. 0.2059State whether each of the following is true or false.a. The significance level of a test is the probability that the null hypothesis is false.b. A Type I error occurs when a true null hypothesis is rejected.c. A null hypothesis is rejected at the 0.025 level but is not rejected at the 0.01 level. This means that the p-value of the test is between 0.01 and 0.025.d. The power of a test is the probability of accepting a null hypothesis that is true.e. If a null hypothesis is rejected against an alternative at the 5% level, then using the same data, it must be rejected against that alternative at the 1% level.f. If a null hypothesis is rejected against an alternative at the 1% level, then using the same data, it must be rejected against the alternative at the 5% level.g. The p-value of a test is the probability that the null hypothesis is true.What is the critical t score if you are testing a one-tailed hypothesis, α level of .05 with df = 36? a. 1.671 b. 2.026 c. 2.028 d. 1.697
- A random sample of n = 25 is obtained from a population with variance ?2, and the sample mean is computed to be ?̅= 70. Consider the null hypothesis ?0: ? =80 versus the alternative hypothesis ?1: ? < 80. Compute the p-value when the population variance is ?2 = 600.Let p be the propotion of seniors who will play bingo. Based on a random sample of 175 seniors, 103 of them have said that they will play bingo. Using this data, test the null hypothesis that p=.5 versus the alternative that p>.5 at the alpha = .1 level. What is the p-value and conclusion of this test? Should you reject or fail to reject the hypothesis?It is known that roughly 2/3 of all human beings have a dominant right foot or eye. Is there also right-sided dominance in kissing behavior? An article reported that in a random sample of 112 kissing couples, both people in 69 of the couples tended to lean more to the right than to the left. (Use α = 0.05.) USE SALT (a) If 2/3 of all kissing couples exhibit this right-leaning behavior, what is the probability that the number in a sample of 112 who do so differs from the expected value by at least as much as what was actually observed? (Round your answer to four decimal places.) (b) Does the result of the experiment suggest that the 2/3 figure is implausible for kissing behavior? State the appropriate null and alternative hypotheses. Ho: P = 2/3 H₂: P ≤ 2/3 Ho: P = 2/3 H₂: P > 2/3 O Ho: P = 2/3 H₂: P < 2/3 ⒸH₁: P = 2/3 H₂:P # 2/3 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.) P-value =