To test the ability of mechanics to identify simple engine problems, a car with a single such problem was taken in turn to 72 different car repair facilities. Only 42 of the 72 mechanics who worked on the car correctly identified the problem. Does this strongly indicate that the true proportion of mechanics who could identify this problem is less than 0.75? 3.1 Perform the appropriate test of hypothesis using ? = 0.01. Clearly show the seven (7) steps of hypothesis testing, draw a picture of the rejection region, and include the p-value.  3.2 Interpret a Type I error in terms of this example.  3.3 What is the probability of making a Type I error in this example.  3.4 Determine whether the test procedure in 3.1 is indeed valid.

17.  A student did not believe their teacher when they stated that students tend to make more mistakes on their homework when listening to music. The students gave 30 participants two tasks: one task was given while the participant performed simple math problems and gave a similar, but different set of math problems when not listening to music. The following is the mean of the difference scores for the two tasks MD=4 and an SEM=1.3  a. State the null and alternative hypothesesb. Perform a paired samples t test with the descriptive statisticsc. Is there a significant difference between the two conditions? Test using an alpha level of .05, using the direction of the test that is listed in the question. Use APA format in answering question.

Only 20% of registered voters voted in the last election. Will voter participation change for the upcoming election? Of the 317 randomly selected registered voters surveyed, 54 of them will vote in the upcoming election. What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v Select an answer v (please enter a decimal) H: ? vSelect an answer v (Please enter a decimal) c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly different from 20% at a = 0.05, so there is statistically significant evidence to conclude that the percentage of registered voters who will vote in the upcoming election will be…

20. Only about 10% of all people can wiggle their ears. Is this percent lower for millionaires? Of the 372 millionaires surveyed, 30 could wiggle their ears. What can be concluded at the αα = 0.05 level of significance? For this study, we should use     The null and alternative hypotheses would be:  H0:             (please enter a decimal)  H1:          (Please enter a decimal) The test statistic     =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 3 decimal places.) The p-value is     α Based on this, we should      the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly lower than 10% at αα = 0.05, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is equal to 10%. The data suggest the populaton proportion is significantly lower than 10% at αα = 0.05, so there is statistically significant…

Can I have all 3 questions done, Thank you.

I am needing help with how to answer this in R. 1. A [national survey](http://www.pewinternet.org/2012/11/01/how-teens-do-research-in-the-digital-world/) in 2012 showed that 75% of middle and high school teachers believe their students use Wikipedia for typical research statements. Let X equal the number of teachers in a random sample of size n = 40 who believe their students use Wikipedia. i) How is X distributed? ii) Use `plotDist()` to draw the probability distribution of X. iii) Compute the probability that X is equal to 30.

A peony plant with red petals was crossed with another plant having streaky petals. A nursery owner states that 75% of the offspring resulting from this cross will have red flowers. To test this claim, 100 seeds from this cross were collected and germinated, and 67 plants had red petals. What hypotheses should you use to test the nursery owner's claim? Ho: p = .75 vs. Ha: p * .75 Ho: p = .67 vs. Ha: p = .67 O Ho: p.75 vs. H₂: p= .75 Ho: p ≥.75 vs. Ha: p .75 O A 4. D W P

Only 17% of registered voters voted in the last election. Will voter participation change for the upcoming election? Of the 356 randomly selected registered voters surveyed, 57 of them will vote in the upcoming election. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: H₁: Select an answer ?✓ Select an answer c. The test statistic ? ✓ = (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) d. The p-value = e. The p-value is ? ✓ a f. Based on this, we should Select an answer the null hypothesis. (Please show your answer to 4 decimal places.)

Only 14% of registered voters voted in the last election. Will voter participation change for the upconing election? Of the 326 randomly selected registered voters surveyed, 55 of them will vote in the upcoming election. What can be concluded at the a 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: ces Ho: ? 9elect an answer v (please enter a decimal) tions H:? Select an answer v (Please enter a decimal) Drive 65 c. The test statistic ?= (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that.., O The data suggest the populaton proportion is significantly different from 14% at a =0.10, so there is statistically significant evidence to conclude that the the percentage of all registered voters who will vote in the upcoming election…

18. A credit card company claims that the mean time the customers spend on hold is 3.5 minutes. An employee of this company believes that customers spend more than 3.5 minutes on hold. A random sample of n = 36 calls is selected and the mean time the customers in this sample spent on hold was 5.15 minutes. All conditions for inference were met and the p-value for the appropriate hypothesis test was 0.031. Which of the following statements is the best interpretation of the p-value? (A) There is a 0.031 probability that the alternative hypothesis is true. (B) There is a 0.031 probability that the null hypothesis is true. (C) If the null hypothesis is true, there is a 0.031 probability of finding convincing evidence that 5.15 minutes is greater than 3.5 minutes. (D) If the null hypothesis is true, the probability of finding convincing evidence that the null hypothesis is true is 0.031. (E) If the null hypothesis is true, the probability of observing a sample mean of at least 5.15 minutes…