# Answer in Statistics and Probability for help #253339

The percentage of physicians who are women is 28%. In a survey of physicians employed by a large university health system, 60 of 142 randomly selected physicians were women. Is there sufficient evidence at the 0.01 level of significance to conclude that the proportion of women physicians at the university health system exceeds 28%?

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Answer in Statistics and Probability for help #253339
Just from $13/Page a. State the hypothesis and identify the claim of the researcher. b. Find the critical value(s). c. Compute the test value. d. Make a decision on the null hypothesis. e. Make a decision on the claim of the researcher. The following null and alternative hypotheses for the population proportion needs to be tested: “H_0:p\leq 0.28” “H_1:p>0.28” This corresponds to a right-tailed test, for which a z-test for one population proportion will be used. Based on the information provided, the significance level is “\alpha = 0.01,” and the critical value for a right-tailed test is “z_c = 2.3263.” The rejection region for this right-tailed test is “R = \{z: z > 2.3263\}.” The z-statistic is computed as follows: “z=\dfrac{\hat{p}-p_0}{\sqrt{\dfrac{p_0(1-p_0)}{n}}}=\dfrac{\dfrac{60}{142}-0.28}{\sqrt{\dfrac{0.28(1-0.28)}{142}}}=3.7829” Since it is observed that “z = 3.7829>2.3263= >z_c ,” it is then concluded that the null hypothesis is rejected. Using the P-value approach: The p-value is “p=P(Z>3.7829) = 0.0000775,” and since “p=0.0000775<0.01=\alpha,” it is concluded that the null hypothesis is rejected. Therefore, there is enough evidence to claim that the population proportion “p” is greater than 0.28, 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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