The community hospital is studying its distribution of patients. A random sample of 313 patients presently in the hospital gave the following information:   Type of Patient     Old Rate of Occurrences     Present Number of Occurrences     Maternity Ward   20% 73   Cardiac Ward   32% 88   Burn Ward   10% 29   Children's Ward   15% 50   All Other Wards   23% 73 Test the claim at the 5% significance level that the distribution of patients in these wards has not changed. Select the [p-value, Decision to Reject (RH0) or Failure to Reject (FRH0)]. a) [p-value = 0.465, RH0] b) [p-value = 0.058, RH0] c) [p-value = 0.465, FRH0] d) [p-value = 0.233, RH0] e) [p-value = 0.058, FRH0]

Acne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for 12 weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost clear skin at the end of the 12 week period. The results of the study can be seen in the table below. Using the appropriate statistical test, determine if there is significant evidence that the four treatments perform differently. If so, how do they compare.

Childhood participation in sports, cultural groups, and youth groups appears to be related to improved self-esteem for adolescents (McGee, Williams, Howden-Chapman, Martin, & Kawachi, 2006). In a representative study, a sample of n = 100 adolescents with a history of group participation is given a stan- dardized self-esteem questionnaire. For the general population of adolescents, scores on this questionnaire form a normal distribution with a mean of p %3D 50 and %3D 15. The sample of group- a standard deviation of o %3D participation adolescents had an average of M = 53.8.

Listed below are the lead concentrations (in µg/g) measured in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States. Assume that a simple random sample has been selected. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 14.0 µg/g. 5.98 5.50 20.54 3.03 6.46 Identify the null and alternative hypotheses. Ho: H 14 H₁: μ 14 (Type integers or decimals. Do not round.) Identify the test statistic. = (Round to two decimal places as needed.) 7.45 12.01 20.47 11.48 17.53 D S Vi I. (1,0) More

In a previous poll, 38% of adults with children under the age of 18 reported that their family ate dinner together seven nights. suppose that, in a more recent poll, 399 of 1099 adults with children under the age of 18 reported that their family ate dinner together seven nights a week. is there sufficient evidence that the proportion of families with children under the age of 18 who eat diner together seven nights a week has decreased? use the a=0.05 significance level

The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they won in the category of Best Actor the same year. Using a 0.05 significance level, test the claim that for the population of ages of Best Actresses and Best Actors, the differences have a mean less than 0. This claim would indicate that the Best Actresses are generally younger than Best Actors. Actress (years) 27 30 31 27 37 28 29 40 30 32 Actor (years) 66 33 40 34 27 34 48 42 41 43 State the claim, null, and alternative hypothesis. Claim: μd          0 HO: μd                    0 H1: μd                      0

Listed below are the lead concentrations (in µg/g) measured in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States. Assume that a simple random sample has been selected. Use a 0.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 14.0 μg/g. 2.95 6.46 6.00 5.46 20.49 7.51 12.02 20.45 11.50 17.54 Identify the null and alternative hypotheses. Ho H₁: (Type integers or decimals. Do not round.)

The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Observed Number of Households in the Community Percent of U.S. Type of Household Households Married with children 26% 110 Married, no children Single parent One person Other (e.g., roommates, siblings) 29% 101 32 25% 98 11% 70 Use a 5% level of significance to test the claim that the distribution of U.S. households fits the Dove Creek distribution. (a) What is the level of significance? State the nul and alternate hypotheses. O Ho: The distributions are different. H: The distributions are the same. O Hg: The distributions are the same. H: The distributions are different. O Hg: The distributions are the same. H: The distributions are the same. O Hg: The distributions are different. H: The distributions are different. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to two decimal places. Round the test…

A recent national report states the marital status distribution of the male population age 18 or older is as follows: Never Married (31.5%), Married (55.7%), Widowed (2.7%), Divorced (10.1%). The table below shows the results of a random sample of 1620 adult men from California. Test the claim that the distribution from California is as expected at the a = 0.01 significance level. a. Complete the table by filling in the expected frequencies. Round to the nearest whole number: Frequencies of Marital Status Outcome Frequency Expected Frequency Never Married 507 Married 896 Widowed 46 Divorced 171 b. What is the correct statistical test to use? Select an answer c. What are the null and alternative hypotheses? OMarital status and residency are dependent. Marital status and residency are independent. The distribution of marital status in California is the same as it is nationally. OThe distribution of marital status in California is not the same as it is nationally. Marital status and…

A manufacturer of colored candies states that 13% of the candies in a bag should be brown, 14% yellow, 13% red, 24% blue, 20% orange, and 16% green. A student randomly selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the table. Test whether the bag of colored candies follows the distribution stated above at a = 0.05 level of significance. Using the level of significance a = 0.05, test whether the color distribution is the same. Click here to view the table, Click here to view the table of critical values of the chi-square distribution. O B. H,: The distribution of colors is at most as uniform as stated by the manufacturer. H,: The distribution of colors is more uniform than stated by the manufacturer. C. Ha: The distribution of colors is the same as stated by the manufacturer. H,: The distribution of colors is not the same as stated by the manufacturer. O D. H,: The distribution of colors is not the same as stated by…