Math

StatisticsQ&A LibraryA study looking at symptoms and care-seeking behavior in African-American patients with chest pain, measured the systolic blood pressure of 157 African-American men seen in an emergency department. The mean systolic blood pressure was 146 mm Hg with a standard deviation of 27. The researchers wish to know if on the basis of these data, they can conclude that the mean systolic blood pressure is greater than 140. Use α=.05. Give each of the following to receive full credit: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic, and 5) your conclusion including a comparison to alpha or the critical value. What do the results mean? You MUST show your work to receive full credit. Partial credit is available.Question

Asked Oct 4, 2019

134 views

A study looking at symptoms and care-seeking behavior in African-American patients with chest pain, measured the systolic blood pressure of 157 African-American men seen in an emergency department. The mean systolic blood pressure was 146 mm Hg with a standard deviation of 27. The researchers wish to know if on the basis of these data, they can conclude that the mean systolic blood pressure is greater than 140. Use α=.05. ** ****Give each of the following to receive full credit**: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic, and 5) your conclusion including a comparison to alpha or the critical value. What do the results mean? You MUST show your work to receive full credit. Partial credit is available.

Step 1

Hypothesis Formulation:

Null Hypothesis generally contains the '=' sign while the alternate hypothesis contains the claim. Here, the claim of the researchers is that the mean systolic BP is greater than 140.

Step 2

Appropriate Test:

As the sample size is large (greater than 30), we'll use Z test.

Step 3

Calculation of test statistic:

The formula for test statistic is given below

After substituting sample mean = 146, sample standard deviation = 27, n = 157 and µ0=140 we get test stait...

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: 13 students vie for the right t fill up my car weekly during a month. there are 4 weeks in the chose...

A: Combinations:It defines the number of possible ways an object can be selected from a group. In combi...

Q: I sort of understood the addition rule of probabilties, but cannot apply it. Any better explanation ...

A: From the addition law of probability, we have,

Q: How do I create a histogram in excel?

A: Histogram: A histogram is a graphical representation of the numerical data. Histogram is one graph w...

Q: Problem 4: Show that the moment generating function of random variable X N(u, o2) is equal to 1 Mx(t...

A: It is provided that Z is a random variable follows as Normal (0,1).

Q: 2) A typical large dog runs 40 mph =58.667 feet/sec(mean speed) with a standard deviation of 2 Teet ...

A: Note:Hi there! Thank you for posting the question. We have tried to solve the question to the best o...

Q: Concerns about climate change and CO2 reduction have initiated the commercial production of blends o...

A: It is given that the mean and standard deviation are 0.9220 and 0.0060, respectively. The sample siz...

Q: What is the probability of randomly selecting a z-score greater than z = 0.75 from a normal distribu...

A: From the given information, the z value is 0.75. The probability that z-score is greater than 0.75 i...

Q: 9. An experimental drug is administered to 100 randomly selected individuals, with the number of ind...

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will an...

Q: what is the first,second,third quartile and the outlier of 15,29,30,34,35,36,37,37,37,40,42,42,44,44...

A: The values of 1st, 2nd, and 3rd quartiles are obtained using EXCEL software and the procedure is giv...