Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 34 of the 41 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 88 of the 102 subjects developed rhinovirus infections. Use a 0.01 significance level to test the claim that echinacea has an effect on rhinovirus infections. (a) Test a claim using a hypothesis test. Ho:P1 = P2 H1: Answer : A for Pi < P2; answer: B for p1 > P2 ; or answer: C for p1 # P2 Identify the test statistic. z = (Round to two decimal places as needed.) Identify the P-value. p-value Conclusion: since p-value is the significance level of a = 0.01, so ( fail to reject or reject) (b) Test claim by constructing an appropriate confidence interval < P1 - P2 < (Round to three decimal places.)

According to the Center for Disease Control (CDC) during the 2018-2019 season the percent of Americans 18 and older who had a flu shot was 45.3%.  We did a random sample of 500 Americans and found that 200 out of the 500 had a flu shot. Is there enough evidence at the 5% level that 45.3% or less of Americans 18 or older had a flu shot? What is given and which test will your perform?: a) u = 0.453, x-bar = 200/500 = 0.40, n = 500, T test with less than b) p = 200/500 = 0.40, p-hat = 0.453, n = 500, 1 prop z test with less than c) p = 0.453, p-hat = 200/500 = 0.40, n = 500, 1 prop z test with less than d) p = 0.453, p-hat = 200/500 = 0.40, n = 500, 2 prop z test with less than

A researcher studying air quality in a metropolitan city is interested in testing the claim that less than 20% of people smoke cigarettes to test this claim the researcher collects the following data on a sample of 700 adults and 110 of them smoke cigarettes the following is the data from the study. Sample size= 700 adults Alternative hypothesis= ha:p

A market researcher claims that the purchases for a particular gift item are men, 50 percent; women, 40 percent; and children under 18, 10 percent. The researcher takes a sample in a very large department store and finds in a given week that 43 items were purchased by men, 33 by women, and 4 by children under 18. Does the evidence support the claim of the market researcher? Use alpha = 0.05

Read the passage on Compassionate Dog and then answer the questions carefully to get the correct answers.

I need the right answer to b, c, and d.

Rhino viruses typically cause common colds. In a test of the effectiveness of​ echinacea, 43 of the 49 subjects treated with echinacea developed rhinovirus infections. In a placebo​ group,76 of the 93 subjects developed rhinovirus infections. Use a 0.05significance level to test the claim that echinacea has an effect on rhinovirus infections.        a. Test the claim using a hypothesis test.   Consider the first sample to be the sample of subjects treated with echinacea and the second sample to be the sample of subjects treated with a placebo. What are the null and alternative hypotheses for the hypothesis​ test?     A. H0​: p1≤p2 H1​: p1≠p2   B. H0​: p1=p2 H1​: p1<p2   C. H0​: p1=p2 H1​: p1≠p2   D. H0​: p1≥p2 H1​: p1≠p2   E. H0​: p1=p2 H1​: p1>p2   F. H0​: p1≠p2 H1​: p1=p2   Identify the test statisti z =  ​(Round to two decimal places as​ needed.)     What is the conclusion based on the hypothesis​ test?   The​…

Color and Creativity Researchers from the University of British Columbia conducted trials to investigate the effects of color on creativity. Subjects with a red background were asked to think of creative uses for a brick; other subjects with a blue background were given the same task. Responses were scored by a panel of judges and results from scores of creativity are given below. Higher scores correspond to more creativity. The researchers make the claim that “blue enhances performance on a creative task.” a. Use a 0.01 significance level to test the claim that blue enhances performance on a creative task. b. Construct the confidence interval appropriate for the hypothesis test in part (a). What is it about the confidence interval that causes us to reach the same conclusion from part (a)?

A research study wanted to examine whether religious belief and gender are related in their state. They selected a representative sample of men and women in their State.Select the null and alternative hypothesis of the test: A.  H0: there is no relationship between gender and belief about human origins      Ha: there is a relationship between gender and belief about human origins B.   H0: there is a relationship between gender and belief about human origins       Ha: there is no relationship between gender and belief about human origins     Results of the study are summarized in this table for the Belief about human origins:   religious texts evolutionary theory total male 30 36 66 female 108 89 197 total 138 125 263 The degrees of freedom for the the ?2 statistic are Round the following numbers to two places after the decimal:The test statistic is ?2 = with a p-value = The conclusion of the test at the 5% significance level is Gender and belief about human origins are…

Rhino viruses typically cause common colds. In a test of the effectiveness of​ echinacea, 33 of the 38 subjects treated with echinacea developed rhinovirus infections. In a placebo​ group, 101 of the 114 subjects developed rhinovirus infections. Use a0.05 significance level to test the claim that echinacea has an effect on rhinovirus infections. Complete parts​ (a) through​ (c) below. a. Test the claim using a hypothesis test.   Consider the first sample to be the sample of subjects treated with echinacea and the second sample to be the sample of subjects treated with a placebo. What are the null and alternative hypotheses for the hypothesis​ test? A. H0​: p1=p2 H1​: p1>p2   B. H0​: p1≤p2 H1​: p1≠p2   C. H0​: p1=p2 H1​: p1<p2   D. H0​: p1=p2 H1​: p1≠p2 Your answer is correct.   E. H0​: p1≥p2 H1​: p1≠p2   F. H0​: p1≠p2 H1​: p1=p2     Identify the test statistic.   Identify the​ P-value.   What is the conclusion based on the…