# Answer in Statistics and Probability for seli #282489

A health officer is trying to study the malaria situation of Ethiopia. From the records of

seasonal blood survey (SBS) results he came to understand that the proportion of people

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Answer in Statistics and Probability for seli #282489
Just from $13/Page having malaria in Ethiopia was 3.8% in 1978 (Eth. Cal). The size of the sample considered was 15000. He also realised that during the year that followed (1979), blood samples were taken from 10,000 randomly selected persons. The result of the 1979 seasonal blood survey showed that 200 persons were positive for malaria. Help the health officer in testing the hypothesis that the malaria situation of 1979 did not show any significant difference from that of 1978 (take the level of significance, α =.01). “\hat{p}_1=0.038, N_1=15000, X_1=0.038(15000)=570” “\hat{p}_2=\dfrac{X_2}{N_2}=\dfrac{200}{10000}=0.02, N_2=10000, X_2=200” The value of the pooled proportion is computed as “\bar{p}=\dfrac{X_1+X_2}{N_1+N_2}=\dfrac{570+200}{15000+10000}=0.0308” The following null and alternative hypotheses for the population proportion needs to be tested: “H_0:p_1=p_2” “H_1:p_1\not=p_2” This corresponds to a two-tailed test, and a z-test for two population proportions will be used. Based on the information provided, the significance level is “\alpha = 0.01,” and the critical value for a two-tailed test is “z_c = 2.5758.” The rejection region for this two-tailed test is “R = \{z: |z| > 2.5758\}nn.” The z-statistic is computed as follows: “z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\bar{p}(1-\bar{p})(\dfrac{1}{N_1}+\dfrac{1}{N_2})}}” “=\dfrac{0.038-0.02}{\sqrt{0.0308(1-0.0308)(\dfrac{1}{15000}+\dfrac{1}{10000})}}” “=8.0699” Since it is observed that “|z| = 8.0699 > 2.5758=z_c ,” it is then concluded that the null hypothesis is rejected. Using the P-value approach: The p-value is “p=2P(Z>8.0699)\approx0,” and since “p = 0 < 0.01=\alpha,” it is concluded that the null hypothesis is rejected. Therefore, there is enough evidence to claim that the population proportion “p_1” is different than “p_2,” at the “\alpha = 0.01” significance level. # What Will You Get? We provide professional writing services to help you score straight A’s by submitting custom written assignments that mirror your guidelines. #### Premium Quality Get result-oriented writing and never worry about grades anymore. We follow the highest quality standards to make sure that you get perfect assignments. #### Experienced Writers Our writers have experience in dealing with papers of every educational level. You can surely rely on the expertise of our qualified professionals. #### On-Time Delivery Your deadline is our threshold for success and we take it very seriously. We make sure you receive your papers before your predefined time. #### 24/7 Customer Support Someone from our customer support team is always here to respond to your questions. So, hit us up if you have got any ambiguity or concern. #### Complete Confidentiality Sit back and relax while we help you out with writing your papers. We have an ultimate policy for keeping your personal and order-related details a secret. #### Authentic Sources We assure you that your document will be thoroughly checked for plagiarism and grammatical errors as we use highly authentic and licit sources. #### Moneyback Guarantee Still reluctant about placing an order? Our 100% Moneyback Guarantee backs you up on rare occasions where you aren’t satisfied with the writing. #### Order Tracking You don’t have to wait for an update for hours; you can track the progress of your order any time you want. We share the status after each step. #### Areas of Expertise Although you can leverage our expertise for any writing task, we have a knack for creating flawless papers for the following document types. # Trusted Partner of 9650+ Students for Writing From brainstorming your paper's outline to perfecting its grammar, we perform every step carefully to make your paper worthy of A grade. ##### Preferred Writer Hire your preferred writer anytime. Simply specify if you want your preferred expert to write your paper and we’ll make that happen. ##### Grammar Check Report Get an elaborate and authentic grammar check report with your work to have the grammar goodness sealed in your document. ##### One Page Summary You can purchase this feature if you want our writers to sum up your paper in the form of a concise and well-articulated summary. ##### Plagiarism Report You don’t have to worry about plagiarism anymore. Get a plagiarism report to certify the uniqueness of your work. ## Free Features$66FREE

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