Determine whether to reject or fail to reject Ho at the level of significance of a) a = 0.04 and b) a = 0.09. Ho: μ= 126, Ha: μ 126, and P=0.0614. a) Do you reject or fail to reject Ho at the 0.04 level of significance? ⒸA. Fail to reject Ho because P<0.04. O B. Fail to reject Ho because P> 0.04. OC. Reject Ho because P<0.04. OD. Reject Ho because P> 0.04.

Express the null hypothesis and the alternative hypothesis in symbolic form for a test to support each claim. Use the correct symbol (µ, p) for the indicated parameter. 4) 4) A psychologist claims that 7.5 percent of the population suffers from professional problems due to extreme shyness. а. b. A cereal company claims that the mean weight of the cereal in its packets is at least 14 oz.

15. For each of the following examples, state whether the chi-square goodness-of-fit or the chi-square test for independence is appropriate. 15d. A public health employee evaluates the proportion of lean, healthy, overweight, and obese students at a local college. A. goodness of fit test B. test for independence

b) A manufacturer claims that the average thickness of their chewing gum is 20mm. A quality control engineer wishes to check this claim and measures the average thickness of a sample of 10 pieces of gum, finding x = 18.6mm and s = 4mm. Does the sample seem to indicate that the average thickness of their chewing gum is not 20mm? Use a 0.05 level of significance. Circle the correct null and alternative hypotheses. i) H : μ = 20 : Нo μ = 20 Η : μ 20 ii) What is the probability of making a Type I error? iii) Which test statistic will you use? Circle your answer. Ꮓ T iv) x² Calculate the value of the test statistic for the quality control engineer's sample. v) Determine the critical value of the test statistic. Do not round or truncate. vi) Determine the P-value. vii) What is the conclusion? Accept Ho Reject Ho Fail to reject Ho Circle your response. viii) Does the sample seem to indicate that the average thickness of their chewing gum is not 20mm? Circle your response. YES NO

38. The mean area µ of the several thousand apartments in a new development is advertised to be 1250 square feet. A tenant group thinks that the apartments are smaller than advertised. They hire an engineer to measure a sample of apartments to test their suspicion. The appropriate null and alternate hypothesis, H, and H., for u are a) H,: µ = 1250 and H,: µ ± 1250 b) Hgi H c) Hoi u d) cannot be specified without knowing the sample size used by the engineer. %3D 1250 and H: и 1250

In a National Public Transportation survey conducted in 1995 on the modes of transportation used to commute to work, 79.6% of the respondents said they drive alone, 11.1% carpool, 5.1% use public transportation, and 4.2% depend on other modes of transportation (USA Today, April 14, 1999). Assume that these percentages hold true for the 1995 population of all commuting workers. Recently 1000 randomly selected workers were asked what mode of transportation they use to commute to work. The following table lists the results of this survey (observed counts): Mode of transportation Number of workers Сагроol 102 Public Transportation Drive Alone Other 812 57 29 Test at the 2.5% significance level whether the current pattern of use of transportation modes is different from that for 1995. 1. State the null and alternate hypothesis. Но: HA: 2. Select the distribution to use. 3. Determine the rejection region. 4. Determine the degrees of freedom. df = k - 1 5. Create a table of expected counts.…

While testing the null and alternate hypothesis:H0: mu=50 vs. Ha:mu not equal 50n=100p-value = 0.9357alpha = 0.05What is the correct decision?   A. Do not reject H0   B. Reject H0   C. none of these   D. Reject Ha

Compute the observed significance of each test. a. Testing Hoμ = 54.7 vs Ha : µ −45, test statistic z = 2.54

A poll classified respondents by gender and political party, as shown in the table. A researcher wonders if gender and party affiliation are not independent. (Assume a significance level of α = 0.05) Complete parts a) through e) below. d) Find the P-value for this test. Calculate the chi-square statistic. x² = 2.339 (Round to three decimal places as needed.) Find the P-value for the test. Choose the correct answer below. 0.0823 0.3104 0.003 DRIO 40 40 25 Male Female 49 35 18 e) State an appropriate conclusion. Choose the correct answer below. O A. Fail to reject the null hypothesis. There is sufficient evidence to support the claim. B. Reject the null hypothesis. There is not sufficient evidence to support the claim. C. Reject the null hypothesis. There is sufficient evidence to support the claim. O D. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim.

Identify the relevant the decision for the test, H0: μ = 2,500 vs. Ha: μ > 2,500 at α = 0.01 for an observed significance p = 0.018. Group of answer choices Since p ≤ α, the decision is not to reject H0. Since p > α, the decision is not to reject H0. Since p > α, the decision is to reject H0. Since p ≤ α, the decision is to reject H0. Since p > α/2, the decision is to reject H0.