A candidate in a local election thinks seniors are by far her best supporters. She believes that the difference in the support between seniors and non-seniors is more than 15%. In order to verify this belief, her supporting team sampled 100 seniors and 150 non-seniors to find what proportion of each group supports the candidate. It is found that 50 of the seniors support her and 36 of the non-seniors support her.   a. Specify the competing hypotheses to determine if the difference in the support between seniors and non-seniors is more than 15%! b. Calculate the value of the test statistic and make a conclusion at the 5% significance level. c. Determine the p-value, and can you have the same conclusion with (b)!

Suppose that Mairin has knit a collection of wool‑blend infinity scarves that she wants to sell in her Etsy shop for $28.00 each. However, she is worried that if the average price of comparable scarves is less than $28.00, hers would be less likely to sell. Mairin selected a random sample of 9 similar hand‑knit, wool‑blend infinity scarves, and their prices are as follows.   $21.75,$24.00,$27.25,$29.95,$23.00,$26.00,$27.80,$33.50,$27.00$21.75,$24.00,$27.25,$29.95,$23.00,$26.00,$27.80,$33.50,$27.00   Use a left‑tailed one‑sample ?t‑test to determine whether the average price of hand‑knit, wool‑blend infinity scarves sold on Etsy is less than $28.00. Assume that the prices of all comparable scarves are normally distributed.   Mairin should (reject, accept, fail to accept) her null hypothesis. There is (sufficient, no, insufficient) evidence that the mean price of hand‑knit, wool‑blend infinity scarves is (greater than, different from, less than, equal two) $28.00.

The National Highway Traffic Safety Administration reported the percentage of traffic accidents occurring each day of the week. Assume that a sample of 420 accidents provided the following data. Sunday Monday Tuesday Wednesday Thursday Friday Saturday 66 80 50 53 O Ho: Psun PMon PTue #Pwed * PThu * PFri * Psat * # # H₂: All proportions are equal. 48 (a) Conduct a hypothesis test to determine if the proportion of traffic accidents is the same for each day of the week. Use a 0.05 level of significance. State the null and alternative hypotheses. Ho: : Not all proportions are equal. H₂: Psun * PMon * PTue * Pwed * PThu * PFri * Psat */ OH: Not all proportions are equal. Ha: Psun = PMon=PTue=Pwed=PThu = PFri = Pat = H₂ : Not all proportions are equal. = Ho: Psun PMon=PTue = Pwed=PThu Fri Sat = = 7 55 68 Find the p-value. (Round your answer to four decimal places.) p-value = Find the value of the test statistic. (Round your answer to three decimal places.) X State your conclusion. O Reject…

According to a recent census, 14.3% of all housing units in a certain country are vacant. A county supervisor wonders if her county is different from this. She randomly selects 893 housing units in her county and finds that 162 of the housing units are vacant. Complete parts a through d below. a) State the hypotheses. Let the proportion of housing units in the county that are vacant be denoted by p. Choose the correct answer below. OA. Ho: p<0.143 HA: P = 0.143 O C. Ho: p=0.143 HA: P<0.143 OB. Ho: p=0.143 HA: P = 0.143 O D. Ho: p20.143 HA: P<0.143 b) Name the model and check appropriate conditions for a hypothesis test. What kind of test is this? Choose the correct answer below. Two-proportion t-test Difference in proportions test Proportional t-test O One-proportion z-test Check the appropriate conditions for a hypothesis test. Select the correct choice below and fill in the answer boxes within your choice. (Round to one decimal place as needed.) successes and nqo = than 10. OA. The…

A beer store wanted to test the difference on drinking habits if a younger group of 21-30 years old (n=8) to an older group of 50 to 60 years old (n=10). The store took a survey of beers per year each person had in both groups and found the following data:  21-30 group  50-60 group 50        35 17        64 25        39 88          75 53         61 62        89 36        45 29        35          29          78 State the hypotheses of the study.b. Find the critical t value for this study at an alpha level at α=.05.c. Compute the independent t testd. If significant, perform a percentage of variance test.e. State the results in APA format (numbers and words) and don’t forget to include all parts in the sentence and the direction of the results.

A political scientist claims that 38% of first-year college students characterize themselves as being “moderate” or “middle of the road” as far as their political affiliation is concerned.   Believing this claimed value is too high, you survey a random sample of 400 first-year college students and find that 120 characterize themselves as being “moderate” or “middle of the road.”    Based on this information, what will the test statistic be? Choose the answer below that is closest to what you calculate, and try not to do a lot of rounding until you get to the very end of your calculations.   1. -0.3 2. -1.2 3. -2.6 4. -3.3 5. None of the other answer options are correct because the test statistic should be positive, not negative.

Males and females were asked what they would do if they received a $100 bill in the mail that was addressed to their neighbor, but had been incorrectly delivered to them. Of the 70 males sampled, 55 said yes they would return it to their neighbor. Of the 130 females sampled, 120 said yes. The overall question is: Is this sufficient evidence to say that the two true proportions are different? Assume that the p-value turns out to be .027 (again not the correct p-value for this situation but use it to answer this question). What is your decision on this hypothesis test using a 5% level of significance? O Fail to reject the null hypothesis Reject the null hypothesis

A survey is conducted to determine if there is a difference in the proportion of students, parents, and What are the appropriate hypotheses to determine if the distribution of response differs among these three populations? teachers who volunteer at least once a month. To investigate, a random sample of 45 students, 25 parents, and 12 teachers was selected from a large high school. The data are displayed in the table. O Ho: There is a difference in the distribution of responses among these three populations. Hg: There is no difference in the distribution of Student Parent Teacher responses among these three populations. 12 O Ho: There is no difference in the distribution of Yes 24 Volunteer? responses among these three populations. Hg: There is a difference in the distribution of No 21 13 response among these three populations. Họ: There is no association between the type of person who is surveyed and the response. Hạ: There is an association between the type of person who is surveyed…

A local school board wants to estimate the difference in the proportion of households with school-aged children that would support starting the school year a week earlier, and the proportion of households without school-aged children that would support starting the school year a week earlier. They survey a random sample of 40 households with school-aged children about whether they would support starting the school year a week earlier, and 30 households respond yes. They survey a random sample of 45 households that do not have school-aged children, and 25 respond yes. Assuming the conditions for inference have been met, what is the 90% confidence interval for the difference in proportions of households that would support starting the school year a week earlier? Find the z-table here. 0.75(1-0.75), 0.56(1-0.56) O (0.75 - 0.56) ±1.65 45 40 0.75(1-0.75) 0.56(1-0.56) O (0.75 - 0.56) ±1.96, 85 85 O (0.75 - 0.56) ±1.65, 0.75(1-0.75) 0.56(1-0.56) + 40 45 O (0.75 - 0.56) ±1.96 0.75(1-0.75)…

Movie theaters make as much as 85% profit on items sold at the concession stand. Without snacks at the movies, there would be no movies! A theater owner suspected that less than half of his customers purchased food at the concession counter. To examine this claim, a random sample of 80 patrons was selected and 35 of them purchased food.  a. State the hypotheses in symbols and words to test the theater owner's claim. b. Calculate the test statistic c. Calculate the p-value d. Interpret the p-value e. State the conclusion of the test.