The director of library services at a college did a survey of types of books (by subject) in the circulation library. Then she used library records to take a random sample of 888 books checked out last term and classified the books in the sample by subject. The results are shown below. Subject Area Percent of Books on Subject in Circulation Library on This Subject Number of Books in Sample on This Subject Business 32% 274 Humanities 25% 214 Natural Science 20% 211 Social Science 15% 111 All other subjects 8% 78 Using a 5% level of significance, test the claim that the subject distribution of books in the library fits the distribution of books checked out by students. (a) What is the level of significance? State the null and alternate hypotheses. H0: The distributions are the same.H1: The distributions are different.H0: The distributions are different.H1: The distributions are different.     H0: The distributions are different.H1: The distributions are the same.H0: The distributions are the same.H1: The distributions are the same. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to three decimal places. Round the test statistic to three decimal places.) Are all the expected frequencies greater than 5? YesNo     What sampling distribution will you use? Student's tnormal     chi-squarebinomialuniform What are the degrees of freedom? (c) Estimate the P-value of the sample test statistic. P-value > 0.1000.050 < P-value < 0.100     0.025 < P-value < 0.0500.010 < P-value < 0.0250.005 < P-value < 0.010P-value < 0.005 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence? Since the P-value > α, we fail to reject the null hypothesis.Since the P-value > α, we reject the null hypothesis.     Since the P-value ≤ α, we reject the null hypothesis.Since the P-value ≤ α, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. At the 5% level of significance, the evidence is sufficient to conclude that the subject distribution of books in the library is different from that of books checked out by students.At the 5% level of significance, the evidence is insufficient to conclude that the subject distribution of books in the library is different from that of books checked out by students.

Please answer questions below Below is a sample of 64 responses of a survey of Ward 3 residents in Washington, D.C.     The survey asked "Do you support the statehood of Washington, D.C.?"       "Yes" was recorded as "1" and "No" was recorded as "0" in the table.                           Statehood?   a. What is the sample proportion of residents who support DC statehood?   1                   1                   1                   1                   0                   1   b.  If the population proportion of residents who support DC statehood is 0.7,  1   what is the standard error of the proportion?       0                   0                   0                   1                   1   c. Is the sampling distribution of the proportion normally distributed?   0                   1                   1                   0                   1   d.  What is the probability of a sample proportion being greater than    1   the value of…

Find an article of your choice which uses proportions, and copy and paste the address of that article in this step. Identify at least one sample proportion within the article (you can list more than one if you like), and state what that sample proportion measures. For example, if you're told that the sample proportion of people in Renton who are taller than 5'11" is 80.7%, and you're also told that the sample size is 57, then you would state the proportion as 46/57 in your response for this part of the assignment. You will probably have to interpret what is being said in the article in order to be able to state specifically what the sample proportion represents. Also, you might not have x or n, you might only have the percentage or a decimal equivalent. Often, the size of the sample is stated somewhere in the article, and it's important to find that value. So, if n is given, please include it in this part of the assignment. If stated in the article, identify whether the sample is a…

Please help answering this one:

A sample of Reese's pieces contains the following: 23 Orange, 14 Brown, 18 Yellow.  What is the proportion of orange? Round to two places

Determine the sample in this research scenario: Dr. Eglovitch wants to know whether type of exercise, running or yoga, improves post-partum depression. One hundred women are recruited from obstetricians’ offices in the Richmond area.   Group of answer choices A.100 postpartum women whose depression was measured B.Type of exercise C. Postpartum depression D. All postpartum women

In an insurance company study of the causes of 1,000 deaths, these data were obtained. Draw a pie chart to represent the data. Cause of Death                        Number of Deaths Heart disease                           432 Cancer                                     227 Stroke                                      93 Accidents                                24 Other                                      224 Total                                       1,000

Catherine Chao, Director of Marketing Research, needs a sample of households to participate in the testing of a new toothpaste package. She directs the seven members of her staff to find five households each. Catherine's sample is a cluster sample proportionate stratified sample quota sample disproportionate stratified sample simple random sample O O O

Part b should be a sample size of 29%, not 25%

Match each of the following to the type of sampling technique used: The researchers list all of the heart attack patients and measure the cholesterol level of every 25th person on the list. The researchers list all of the heart attack patients. They then measure the cholesterol levels of randomly selected patients. The researchers go to one hospital on a given day and measure the cholesterol level of the heart attack patients at that time. The researchers divide the heart attack patients based on race, and then measure the cholesterol levels of randomly selected patients in each race grouping The researchers randomly select 5 hospitals in the U.S. then measure the cholesterol levels of all the heart attack patients in each of those hospitals. a. systematic sample b. convenience sample C. stratified sample d. cluster sample Priv e. simple random sample Terr OCT 21 MacBook Pc esc 000 000 E1 F2 E3 F4 F5 F6