Conduct a hypothesis test to determine if preference for paying a subscription fee to utilize the e-services is associated with gender. Clearly outline each step.Use an alpha level of 5% Willings to Pay Subscription is denoted by yes or no Female Male Total Yes 14 1 15 NO 20 6 26 Total 34 7 41
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Conduct a hypothesis test to determine if preference for paying a subscription fee to utilize the e-services is associated with gender. Clearly outline each step.Use an alpha level of 5%
Willings to Pay Subscription is denoted by yes or no
Female | Male | Total | |
Yes | 14 | 1 | 15 |
NO | 20 | 6 | 26 |
Total | 34 | 7 | 41 |
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- At any age, about 20% of American adults participate in physical conditioning activities at least twice a week. However, these activities change as people get older, and occasionally participants cease to be older as they age. In a local survey of n = 100 adults over 40 years of age, a total of 15 people indicated that they participated in these activities at least twice a week. Does this data indicate that the percentage of participation for adults over 40 years of age is considerably less than the 20% figure? Find the p-value and use it to draw the appropriate conclusions.An organization published an article stating that in any one-year period, approximately 8.2 percent of adults in a country suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, six of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult population in the country. p' = Calculate ?x. Find the p-value.Your group is expected to interview at least 60 random persons about their preference for shopping online and whether they would be interested in such services. Record the following for each respondent: Conduct a hypothesis test to determine if the marginally higher price they would be willing to pay for the good associated with gender. Clearly outline each step. yes no total male 9 10 19 female 18 23 41 total 27 33 60
- An organization published an article stating that in any one-year period, approximately 11.5 percent of adults in a country suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, nine of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult population in the country. At a pre-conceived α = 0.05, what are your following?Decision: , Reason for the decision: ,ConclusionEighteen percent of U.S.-based multinational companies provide an allowance for personal long-distance calls for executives living overseas, according to the Institute for International Human Resources and the National Foreign Trade Council. Suppose a researcher thinks that U.S.-based multinational companies are having a more difficult time recruiting executives to live overseas and that an increasing number of these companies are providing an allowance for personal long-distance calls to these executives to ease the burden of living away from home. To test this hypothesis, a new study is conducted by contacting 376 multinational companies. Twenty-two percent of these surveyed companies are providing an allowance for personal long-distance calls to executives living overseas. Does the test show enough evidence to declare that a significantly higher proportion of multinational companies provide a long-distance call allowance? Let α = .01.In a recent survey, 10% of the participants related Pepsi as being "concerned with my health." PepsiCo's response included a new "Smart Spot" symbol on its products that meet certain nutrition criteria to help consumers who seek more healthy eating options. At a = .05, would a follow-up survey showing that 18 or 100 persons now rate Pepsi as being "concerned with my health" provide sufficient evidence that the percentage has increased?
- The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population. find the p valueStudies have shown that omega-3 fatty acids have a wide variety of health benefits. Omega-3 oils can be found in foods such as fish, walnuts, and flaxseed. A company selling milled flaxseed advertises that one tablespoon of the product contains, on average, at least 3800 mg of ALNA, the primary omega-3. a) The company plans to conduct a test to ensure that there is sufficient evidence that its claimiscorrect. Tobesafe,thecompanywantstomakesurethatevidenceshowsthe average is higher than 3800 mg. What are the null and alternative hypotheses? b) Suppose, instead, that a consumer organization plans to conduct a test to see if there is evidence against the claim that the product contains an average of 3800 mg per tablespoon. The consumer organization will only take action if it finds evidence that the claim made by the company is false and that the actual average amount of omega-3 is less than 3800 mg. What are the null and alternative hypotheses?Individuals filing federal income tax returns prior to March 31 had an average refund of $1102. Consider the population of “last-minute” filers who mail their returns during the last five days of the income tax period (typically April 10 to April 15). A researcher suggests that one of the reasons that individuals wait until the last five days to file their returns is that on average those individuals have a lower refund than early filers. Develop appropriate hypotheses such that rejection of H0 will support the researcher’s contention. For a sample of 600 individuals who filed a return between April 10 and April 15, the sample mean refund was $1050 and the standard deviation was $500. Compute the p-value. Using α = 0.05, what is your conclusion? Test the hypotheses using the critical value approach (α = 0.025).
- The National Institute of Mental Health published an article stating that in any two-year period, approximately 10.5percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 150 people in a certain town, eight of them suffered from depression or a depressive illness. If you were conducting a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population, what would the null and alternative hypotheses be?A study is made of residents in Phoenix and its suburbs concerning the proportion of residents who subscribe to Sporting News. A random sample of 87 urban residents showed that 13 subscribed, and a random sample of 95 suburban residents showed that 20 subscribed. Does this indicate that a higher proportion of suburban residents subscribe to Sporting News? Use a 10% level of significance. \In a recent survey of a fair stratified random sample of the population, a question appeared as: Italic text startDo you plan to vote in favour of the speed limit change? Yes/NoItalic text End Italic text startA scientist found the following number of responses per stratum:Italic text End Age 20-24 Age 25-29 Age 30-34 Yes 45 80 5 No 25 25 15 No response 25 10 55 What are two reasons a respondent might not answer this question? What are the strata in this sample? If a person is picked at random from the sample, what is the probability that they are age 25-29 or did not respond to this question?