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Mark performed a​ two-sample z-test for proportions to test the hypothesis that there was no difference in the proportion who support increasing student fees between male and female students at a particular university. Mark obtained a​ z-statistic of 0. Based on this​ information, which of the following is always​ true. The sample proportions for male and females will be the same as the hypothesized proportions for male and female students at this university. The sample proportions for both male and female students at this university will be 0. All male and female students in the sample will feel the same way about supporting the increase in student fees. The sample proportions will be the same for both male and female students at this university. Test whether  p1>p2 The sample data are x1=116,n1=258,x2=135,n2=311. Conduct a test at the α=0.10 level of significance. Determine the correct null and alternative hypothesis below. Determine the test statistic. Find the P-value: What is…

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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…

Previously, 10.4% of workers had a travel time to work of more than 60 minutes. An urban economist believes that the percentage has increased since then. She randomly selects 75 workers and finds that 16 of them have a travel time to work that is more than 60 minutes. Test the economist's belief at the a = 0.1 level of significance. What are the null and alternative hypotheses? 0.104 versus H1: p Ho: p P = (Type integers or decimals. Do not round.) > 0.104 %3D Because npo (1- Po) 10, the normal model be used to approximate the P-value. %3D (Round to one decimal place as needed.)

A claim is given. Select the corresponding null hypothesis and using a significance level of α = 0.05 and the given p-value, determine if you reject the null hypothesis or fail to reject the null hypothesis. Claim: Americans spend on average less than 8 minutes in the shower. Data: In a sample of Americans (n = 1,803), the average time spent in the shower is 7.8 minutes with a p-value of 0.0546. A. H0 :μ=8and we reject the null. B. H0 :μ=8and we fail reject the null. C. H0 :μ>8and we reject the null. D. H0 :μ>8and we fail reject the null. E. H0 :μ<8and we reject the null. F. H0 :μ<8and we fail reject the null.

Katie is interested if an association exists between age and sleep habits. She selects a random sample of 68 adults in three age groups and determines whether they sleep less than 7 hours, between 7 and 8 hours, or more than 8 hours each night. She would like to determine if there is convincing evidence of an association. Let  = 0.05. What are the hypotheses for this test? H0: There is an association between age and sleep habits.Ha: There is no association between age and sleep habits. H0: There is no association between age and sleep habits.Ha: There is an association between age and sleep habits. H0: There is no difference in the distribution of age and sleep habits.Ha: There is a difference in the distribution of age and sleep habits. H0: There is a difference in the distribution of age and sleep habits.Ha: There is no difference in the distribution of age and sleep habits.

It has been reported in the past that the probability that an individual will develop schizophrenia over their lifetime is 0.004. A researcher believes that this proportion has increases since then. She found out that in a random sample of 2500 individuals, 16 developed schizophrenia. Is there evidence to support the claim that the true proportion of people who will develop schizophrenia is greater 0.004? Use hypothesis testing at a = 0.10 level of significance to answer this question. a. State the null and alternative hypotheses. b. What is the probability model (underlying distribution of the sample proportion p)? c. Compute p. d. Compute the test statistic. e. Find the P-value. f. Make the decision whether to reject Ho or not. g. State a conclusion answering the question above. 1

Which is NOT a correct statement about the Null hypothesis   a. The average  days per week that elementary students lifted weights was the same for 2011 and 2013   b. The average time spent in sedentary behaviors is not different between male and female   c. The mean body mass index for adults in County A is not different from the mean body mass index in adults in County B   d. The mean sleep time for 4th grade students is different from the mean sleep time for 5th grade students

Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel). Hotel occupancy data for February in two consecutive years are as follows Current Year Previous Year Осcupied Rooms 1,470 1,458 Total 1,750 1,800 Rooms (a) Formulate the hypothesis test that can be used to determine if there has been an increase in the proportion of rooms occupied over the one-year period. (Let p, population proportion of rooms occupied for current year and P2 = population proportion of rooms occupied for previous year.) Ho: P1-P22 0 H: P1- P2 0 Ho: P1- P2 0 Hai P1 P2 = 0 Ho: P1- P2 = 0 H P1- P2 0 Ho: P1- P2 # 0 Hi P1- P2 = 0 (b) What is the estimated proportion of hotel rooms occupied each year? current previous (c) Calculate the test statistic. (Round your answer to two decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value Using a 0.05 level of significance, what is your…