Perform a hypothesis test at a 5% level of significance to see if the proportion of white individuals who are fatally shot by police is less than the total proportion of white individuals in the United States, which is approximately 60.1% according to the U.S. census bureau.  State your null and alternative hypotheses in mathematical notation

You are doing a research project in political science to determine the proportion of voters in your district who favor capital punishment. a. If no preliminary sample of voters is taken to estimate p, how large a sample is necessary to be 99% sure that the point estimate will be within a distance of .01 from p? b. The NORC found that approximately 67% of people in the U.S. favor capital punishment. How large a sample is necessary to be 99% sure that the point estimate will be within a distance of .01 from p?

OBFW Publishers A state's Division of Motor Vehicles (DMV) claims that 60% of all teens pass their driving test on the first attempt. An investigative reporter examines an SRS of the DMV records for 125 teens; 86 of them passed the test on their first try. A hypothesis test of Ho: P = 0.60 Ha:p # 0.60 where p = the true proportion of teens who pass their driving test on the first attempt using a = 0.05 gives a P-value of 0.0444. A 95% confidence interval for the true proportion of teens who pass the driving test on the first attempt is 0.607 to 0.769. Which is the following statements is not true with regards to the 95% confidence interval provided and the result of the hypothesis test? OA two-sided test only allows us to reject (or fail to reject) a hypothesized value for a particular population parameter. The value 0.60 is not a plausible value because it falls outside the 95% confidence interval. The 95% confidence interval provided gives an approximate set of po's that would not be…

It has been claimed that at a university at least 40% of the students live on campus. In a random sample of 250 students, 90 were found to live on campus. What is the test value for testing the claim at a=.02? O A. - 2.33 B. 1.32 O C. -1.32 O D. - 1.29

If P(high) = 0.36, P(low) = 0.64, P(favorable | high) = 0.94, and P(unfavorable | low) = 0.63, then what is P(favorable)? 0.0600 0.3384 0.3600 0.5752

Need help with parts C & D The proportion of Americans who have frequent migraines is 15.2% according to the CDC. An acupuncturist claims that her treatment can reduce this figure significantly. A random sample of 191 Americans is administered the acupuncturists treatment and 25 report experiencing migraines.a. State Hypotheses to the scenario using the correct symbols. b. What is the sample proportion? (Round to 2 decimal places) ˆpp^= c. Suppose the P-value is calculated to be 0.0318What would your decision be for this test using α=α= 0.025? fail to reject the null accept the null reject the null d. Write a conclusion in terms of the acupuncturist's claim. Use the model provided by the instructor. Assume no errors were made.

Español According to previous studies, 10% of the U.S. population is left-handed. Not knowing this, a high school student claims that the percentage of left-handed people in the U.S. is 12%. The student is going to take a random sample of 900 people in the U.S. to try to gather evidence to support the claim. Let p be the proportion of left-handed people in the sample. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p. 0.12 (b) Find the standard deviation of p. X 5 (c) Compute an approximation for P(p≤0.12), which is the probability that there will be 12% or fewer left-handed people in the sample. Round your answer to four decimal places. A 27

Suppose the null hypothesis is rejected. State the conclusion based on the results of the test. Six years ago, 11.4% of registered births were to teenage mothers. A sociologist believes that the percentage has increased since then. Which of the following is the correct conclusion? O A. There is sufficient evidence to conclude that the percentage of teenage mothers has remained the same. O B. There is sufficient evidence to conclude that the percentage of teenage mothers has increased. O C. There is not sufficient evidence to conclude that the percentage of teenage mothers has remained the same. O D. There is not sufficient evidence to conclude that the percentage of teenage mothers has increased.

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A poll found that 80% of American adults believed that there was a conspiracy in the death of President Kennedy. A later poll asked 1097 American adults if they believe there was a conspiracy in the assassination, and found that 834 believe there was a conspiracy. Do the data show that the proportion of Americans who believe in this conspiracy has decreased? Test at the 1% level. State the hypotheses. Họ: P ?v H,: P ?v Calculate the test statistic. Round to four decimal places. p = Calculate the standardized test statistic. Round to three decimal places. Z = Find the p-value. Round to four decimal places. p-value = State your decision. O Since the p-value is greater than .01, fail to reject Ho. O Since the p-value is less than .01, fail to reject Ho. O Since the p-value is less than .01, reject Họ- O Since the p-value is greater than .01, reject Ho. Interpret the results. O At the 1% level of significance, there is not enough evidence to show that the proportion of American adults who…