Question

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

          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

Show more…

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

Added by Sydney W.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert David Nguyen

07/15/2022

Step 1

42\), \(p = 0.3\), and \(n = 78\), we have: \[ z = \frac{0.42 - 0.3}{\sqrt{\frac{0.3(1-0.3)}{78}}} \] \[ z = \frac{0.12}{\sqrt{\frac{0.21}{78}}} \] \[ z = \frac{0.12}{\sqrt{0.0026923}} \] \[ z = \frac{0.12}{0.05188} \] \[ z = 2.3131 \] Show more…

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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 ≥ 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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Transcript

00:01 Hi, i'm david and i'm here to have you answer your question.

00:04 In the question here, we are going to discuss about the sampling distribution on the sample proportion.

00:10 Let me remind you that if i'm the n times b greater equal to the 10, and n times k also greater than the 10, and then the sample proportion p hath could be approximate to the normal.

00:23 In such a way that if the p heart could minus the b over the square root times 1 minus b over the n we have 10 standard normal.

00:33 In the question here i see you answered the part one correctly so well done on your work there.

00:38 Now let me answer the question b for you for the number 2 we have the new symbol n equal to the 78 and we're given the p equal to the same thing like before will be the japan 3 and then we need to find the probability that more than 42 % of people in the symbol have the high pleasure so when to find the probability the phearts will be greater than the 0 .42.

01:09 Now to find this probability i need to convert the p heart into the z.

01:13 To do it i need to apply this formula here and then i will have the 0 .42 we will minus the b will be the 0 .3 divided by the square root of the 0 .3 times 1 minus 0 .3 over the end will be the 78.

01:32 Now if we compute it, we will have the c will be greater than 0 .3 times 0 .701 beta 78, taking the square root and then we have the 0 .1 2 defining by the answer equal to the 2 .3 1.

01:49 Now to find this probability i need to bring up the z table.

01:53 Let me copy the z table and then i put the table on the right here...

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