Blood pressure: High blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. adults with high blood pressure is 0.3. A sample of 32 U.S. adults is chosen. Use the TI-84 Plus Calculator as needed. Round the answer to at least four decimal places. Part 1 of 5 Is it appropriate to use the normal approximation to find the probability that more than 44% of the people in the sample have high blood pressure? It is not appropriate to use the normal curve, since np = 9.6 < 10 and n(1 - p) = 22.4 ? 10. Part 2 of 5 A new sample of 78 adults is drawn. Find the probability that more than 42% of the people in this sample have high blood pressure. The probability that more than 42% of the people in this sample have high blood pressure is
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Given: p = 0.3 n = 78 Calculate: Ī¼ = p * n = 0.3 * 78 = 23.4 Ļ = sqrt(p * (1 - p) / n) = sqrt(0.3 * 0.7 / 78) = sqrt(0.021 / 78) = sqrt(0.000269) ā 0.0164 Show moreā¦
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Blood pressure: High blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. adults with high blood pressure is 0.4. A sample of 41 U.S. adults is chosen. Use the TI-84 Plus Calculator as needed. Round the answer to at least four decimal places. Part 1 of 6 Is it appropriate to use the normal approximation to find the probability that more than 44% of the people in the sample have high blood pressure? It is appropriate to use the normal curve, since np = 16.4 ā„ 10 and n(1 - p) = 24.6 ā„ 10. Part 2 of 6 Find the probability that more than 44% of the people in this sample have high blood pressure. The probability that more than 44% of the people in this sample have high blood pressure is
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Blood pressure: High blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. adults with high blood pressure is 0.3. A sample of 32 U.S. adults is chosen. Use the TI-84 Plus Calculator as needed. Round the answer to at least four decimal places. Is it appropriate to use the normal approximation to find the probability that more than 44% of the people in the sample have high blood pressure? It is not appropriate to use the normal curve, since np = 9.6 < 10 and n(1 - p) = 22.4 ā„ 10. A new sample of 78 adults is drawn. Find the probability that more than 42% of the people in this sample have high blood pressure. The probability that more than 42% of the people in this sample have high blood pressure is .
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Please provide the following information. (a) What is the level of significance? State the null and alternate hypotheses. (b) What sampling distribution will you use? Do you think the sample size is sufficiently large? Explain. Compute the value of the sample test statistic and corresponding $z$ value. (c) Find the $P$ -value of the test statistic. Sketch the sampling distribution and show the area corresponding to the $P$ -value. (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level $\alpha ?$ (e) Interpret your conclusion in the context of the application. This problem is based on information taken from The Merck Manual (a reference manual used in most medical and nursing schools). Hypertension is defined as a blood pressure reading over $140 \mathrm{mm}$ Hg systolic and/or over $90 \mathrm{mm}$ Hg diastolic. Hypertension, if not corrected, can cause long-term health problems. In the college-age population (18-24 years), about 9.2\% have hypertension. Suppose that a blood donor program is taking place in a college dormitory this week (final exams week). Before each student gives blood, the nurse takes a blood pressure reading. of 196 donors, it is found that 29 have hypertension. Do these data indicate that the population proportion of students with hypertension during final exams week is higher than $9.2 \% ?$ Use a $5 \%$ level of significance.
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