used their cell phone and 72 of 120 males did so. At the 0.01 level of significance, is there enough evidence to support the researcher's claim?
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A: Dear student as per guidelines we answer the first three subparts only. Please post other subparts…
Q: Past studies have indicated that the percentage of smokers was estimated to be about 35%. Given the…
A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…
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- Only 10% of registered voters voted in the last election. Will voter participation increase for the upcoming election? Of the 399 randomly selected registered voters surveyed, 52 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 answerThe work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 5% level of significance. Give answer to at least 4 decimal places. Hours 46 49 58 55 49 68 45 48 46 45 51 50 What are the correct hypotheses? H0: hoursH1: hours Based on the hypotheses, find the following:Test Statistic=p-value= The correct decision is to . The correct summary would be: that the mean number of hours of all employees at start-up companies work more than the US mean of 47 hours.The coach of a very popular men’s basketball team claims that the average distance the fans travel to the campus to watch a game is 35 miles. The team members feel otherwise. A sample of 16 fans who travel to games was randomly selected and yielded a mean of M= 36 miles and s= 5 miles. Test the coach’s claim at the 5% (.05) level of significance. one-tailed or two-tailed test: State the hypotheses: df= tα or t value for the critical region = sM = t (test statistic)= Decision:
- Below indicate whether the appropriate test would be an independent t-test, dependent t-test, One-way ANOVA, or z-test. A researcher is interested in whether people who own red cars, blue cars, or silver cars receive more speeding tickets.The US Department of Energy reported that 49% of homes were heated by natural gas. A random sample of 342 homes in Oregon found that 143 were heated by natural gas. Test the claim that proportion of homes in Oregon that were heated by natural gas is different than what was reported. Use a 10% significance level. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) Ho: Select an answerv?Vv H: Select an answerv Check Answer ip % 8.Previously, an organization reported that teenagers spend 12.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is lower. Twenty-three randomly chosen teenagers were asked how many hours per week they spend on the phone, with the following results (in hours): 10.4, 10.4, 17.3, 11.2, 10, 15.2, 9.5, 5.8, 12.5, 11.8, 7.3, 10.6, 11.5, 16.2, 16.5, 14.3, 12.3, 9.9, 13.7, 8.6, 11.3, 13, 16.5 Perform a hypothesis test using a 10% level of significance. Step 1: State the null and alternative hypotheses. Ho: pv 12.5 12.5 (So we will be performing a left-tailed Vv test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are t-distributed with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. = P(tv sv p-value = Step 4: Make a Conclusion About the nulI…
- At CPU, it is estimated that fewer than 25% of the students have cars on campus. Does this seem to be a valid estimate if, a random sample of 90 college students, 28 are found to have cars? Use a 0.05 level of significance.A barangay captain claims that at least 25% of the residents in his barangay have household pets. To test this claim a researcher randomly selected a sample of 50 residents and find that 13 of them do have pets. What can you conclude at 0.10 level of significance.A random sample of car crashes is obtained. Among 2792 occupants not wearing seat belts, 33 were killed. Among 7654 occupants wearing seat belts, 18 were killed. Use a 0.01 significance level to test the claim that seat belts are effective in reducing fatalities. Consider the occupants not wearing seat belts to be population 1. Determine the p-value.Round your answer to 4 decimal places.
- Past studies have indicated that the percentage of smokers was estimated to be about 35%. Given the new smoking cessation programs that have been implemented, you now believe that the percentage of smokers has reduced. You randomly surveyed 2405 people and found that 799 smoke. Use a 0.05 significance level to test the claim that the percentage of smokers has reduced.a) Identify the null and alternative hypotheses?H0H0: H1H1: b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? left-tailed right-tailed two-tailed c) Identify the appropriate significance level.d) Calculate your test statistic. Write the result below, and be sure to round your final answer to two decimal places.e) Calculate your p-value. Write the result below, and be sure to round your final answer to four decimal places.f) Do you reject the null hypothesis? We reject the null hypothesis, since the p-value is less than the significance level. We reject the…Problem 3: Let E(X) = -4, E(Y)= 1.2, Var(X) = 1, Var(Y) = 3, Cov(X,Y) = -2.7 Keep all the decimal places in your answers. (a) Compute E(X + 2Y² – 1) (b) OCompute Var(4X – Y – 3)This question uses information from the previous question. At 5% significance level, carry out a test to investigate if employment sector makes any difference to the amount of paternity leave taken.You need to: 1. define new notation (if any), 2. briefly justify your testing procedure, 3. state the hypotheses, 4. calculate the test statistic and show steps of derivation, 5. use the p-value approach, 6. make a decision for the test and briefly explain.