A poll of 1144 Americans showed that 47.2% of the respondents prefer to watch the news rather than read or listen to it. Use those results with a 0.01 significance level to test the claim that fewer than half of Americans prefer to watch the news rather than read or listen to it. Use the P-value method. Use the normal distribution as an approximation to the binomial distribution. Let p denote the population proportion of all Americans who prefer to watch the news rather than read or listen to it. Identify the null and alternative hypotheses. Ho: P H₁: p (Type integers or decimals. Do not round.)

A. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative and hypotheses? B. What is the test statistic? (Round to two decimal places as needed.) C. What is the P-value? (Round to three decimal places as needed.) State the conclusion for the test. A. Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.B. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.C. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.D. Reject the null hypothesis. There is not sufficient evidence to support…

I. Do the following:a. State the null and alternative hypotheses, identify which represents the claim,b. Determine when a type I or type II error occurs for a hypothesis test of the claim.c. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Explain your reasoning.d. Explain how you should interpret a decision that rejects the null hypothesis.e. Explain how you should interpret a decision that fails to reject the null hypothesis.ProblemAn agricultural cooperative guarantees that the mean shelf life of a certain type of dried fruit is at least 400 days.II. Conduct a hypothesis testA research center claims that less than 50% of senior high school students in public schools in the Philippines have accessed the Internet using cellular phones. In a random sample of 100 SHS students, 39% say they have accessed the Internet using cellular phones. At = 0.01, is there enough evidence to support the researcher’s claim?

The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject H, when the level of significance is (a) a = 0.01, (b) a = 0.05, and (c) a = 0.10. P=0.0212 (a) Do you reject or fail to reject H, at the 0.01 level of significance? O A. Fail to reject H, because the P-value, 0.0212, is greater than a= 0.01. O B. Reject H, because the P-value, 0.0212, is greater than a = 0.01. OC. Reject H, because the P-value, 0.0212, is less than a = 0.01. O D. Fail to reject H, because the P-value, 0.0212, is less than a = 0.01. (b) Do you reject or fail to reject H, at the 0.05 level of significance? O A. Fail to reject H, because the P-value, 0.0212, is greater than a= 0.05. O B. Reject H, because the P-value, 0.0212, is greater than a = 0.05. OC. Fail to reject H, because the P-value, 0.0212, is less than a = 0.05. O D. Reject H, because the P-value, 0.0212, is less than a = 0.05. (c) Do you reject or fail to reject H, at the 0.10 level of significance? O A. Reject H, because…

An annual survey of first-year college students asks 276,000 students about their attitudes on a variety of subjects. According to a recent survey, 51% of first-year students believe that abortion should be legal. Use a 0.05 significance level to test the claim that over half of all first-year students believe that abortion should be legal. Formulate the null and alternative hypotheses. Choose the correct answer below. .... A. Ho:p=0.5 O A. O B. Ho: p=0.5 Ha:p#0.5 Ha:p0.5 Find the test statistic. (Round to two decimal places as needed.) Find the P-value for the found test statistic. P-value = |(Round to four decimal places as needed.) State the conclusion. Choose the correct answer below. O A. Reject Ho. There is sufficient evidence to support the claim that over half of all first-year students believe that abortion should be legal. B. Do not reject Ho. There is sufficient evidence to support the claim that over half of all first-year students believe that abortion should be legal. C.…

Suppose that you want to perform a hypothesis test for a population mean, μ. a. Express the null hypothesis both in words and in symbolic form. b. Express each of the three possible alternative hypotheses in words and in symbolic form.

a. Let p denote the population proportion of correct hand selections by touch therapists. Identify the null and alternative hypotheses to test the claim that touch therapists use a method equivalent to random guesses. b. Identify the test statistic. c. Identify the​ P-value. d.  State the conclusion about the null​ hypothesis, as well as the final conclusion that addresses the original claim. Address whether the results suggest that touch therapists are effective.

You play roulette and observe the ball land in the 1st dozen (i.e., 1-12) 5 times out of 5 spins. You want to perform a test to determine if the wheel is fair. State the null and alternative hypothesis. What is the p-value of this test? For ? α =.05 significance level, what do you conclude?

A radio station states that 30% of the songs they play each week are from Canadian artists. A DJ working at the station claims that the actual percentage differs from what the station states. The DJ takes a random sample of 87 songs played during a given week and finds that 28 of them are from Canadian artists. Use this information to answer the questions below. a. Suppose the DJ wishes to perform a hypothesis test of his claim. Select the most appropriate null and alternative hypotheses for this hypothesis test. H0:p^≠0.3Ha:p^=0.3 H0:x―=0.3Ha:x―≠0.3 H0:μ≠0.3Ha:μ=0.3 H0:p=0.3Ha:p≠0.3 H0:μ=0.3Ha:μ≠0.3 H0:p≠0.3Ha:p=0.3 H0:p^=0.3Ha:p^≠0.3 H0:x―≠0.3Ha:x―=0.3 b. To assess his hypothesis, the DJ wants to compute a bootstrap-based confidence interval from his sample. Which of the following uses of the quantile() function would produce the correct interval bounds for a 96% bootstrap-based confidence interval? c(quantile(B$mean, 0.04), quantile(B$mean, 0.96)) c(quantile(B$mean, 0.02),…

B. Identify the test statistic test C. Identify the P-value for this hypothesis test D. If P-value is reject H0 or fail to reject H0?