A doctor is interested in the proportion of patients which live at least 5 years after being diagnosed with stage 4 breast cancer. He randomly selects 138 patients diagnosed with stage 4 breast cancer and follows them for 5 years. Suppose the true 5 year survival rate for stage 4 breast cancer is 38%.1. How are the collection of all sample proportions of samples of size 138 distributed? Normal: [ _____ ] ( ) [ _____ ]2. What is the probability that fewer than 34% of the patients studied survived for at least 5 years? - List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. [ __________ ] - There is a [ _____ ] chance that fewer than 34% of the patients studied survived for at least 5 years.3. What is the probability that more than 45% of the patients studied survived for at least 5 years? - List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. [ __________ ] - There is a [ _____ ] chance that more than 45% of the patients studied survived for at least 5 years.4. What is the probability that between 34% and 45% of the patients studied survived for at least 5 years? - List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. [ __________ ] - There is a [ _____ ] chance that between 34% and 45% of the patients studied survived for at least 5 years.

Answered: A doctor is interested in the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The Census Bureau gives this distribution for the number of people in American households in 2016. Family size 1 2 4 6. 7 Proportion 0.28 0.35 0.15 0.13 0.06 0.02 0.01 Note: In this table, 7 actually represents households of size 7 or greater. But for purposes of this exercise, assume that it means only households of size exactly 7. Suppose you take a random sample of 4000 American households. About how many of these households will be of size 2? Sizes 3 to 7? The number of households of size 2 is about The number of households of size 3 to 7 is about
A surprising fact is that only 56% of all teens use a password on their mobile device. If a poll chooses a simple random sample of teens and asks if they use a password on their mobile device, the percent who say “Yes” will vary from sample to sample, if the sampling is repeated. In fact, if we look at the sampling distribution in this case, we will see that the percent “Yes” in many samples of the same size will follow a Normal distribution, with a mean of 56% and a standard deviation of 1.6% Although the results will vary if the poll is repeated, the distribution of results is centered at the truth about the population(56 percent). We call this desirable property of a simple random sample A)The confidence level B) low variability C)lack of bias D)symmetry
The Wisconsin Fish and Game Department stocked a lake with 30% catfish, 15 % bass, 40% bluegill, and 15% Northern Pike. Five years later they took a random sample of 500 fish from the lake and found 120 catfish, 85 bass, 220 bluegill, and 75 Northern Pike. At the 5% level of significance, can we show that the distribution of fish changed over the 5-year interval? State and test appropriate hypotheses. State conclusions.
A. If 75% of high school students are able to pass a stats test, find the mean, variance, and standard deviation for the number of students who pass the test in a sample of 150 students. B. What is the probability that just you will not pass this test, if all 22 students take the test?
1. Suppose the proportion of American adults who work at home is 40%. For a random sample of 100 American adults, what is the distribution of the sample proportion?
Suppose that you make a large number of independent observations of a random variable and then construct a table giving the possible values of the random variable and the proportion of times each value occurs. What will this table resemble?
Is the difference between the mean annual salaries of statisticians in Region 1 and Region 2 more than $5000? To decide, you select a random sample of statisticians from each region. The results of each survey are shown to the right. At a = 0.10, what should you conclude? Region 1 X1 = $67,700 Region 2 X2 = $62,000 01 = $8825 02 = $9025 n1 = 48 n2 = 43 Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. ..... Choose the correct null and alternative hypotheses below. B. Ho: H1- H2 O C. Ho: H1 -H2 > 5000 Ha: H1 - H2 55000 O A. Ho: H1 - H2 > 5000 + 5000 Ha: H1 - H2 2 5000 Ha: H1 - H2 = 5000 O E. Ho: H1 - H2 2 5000 O D. Ho: H1 - H2 = 5000 Ha: H1 - H2 # 5000 F. Ho: µ1 - H2 5 5000 Ha: H1 - H2 > 5000 Ha: H1 - H2 В. Z
A researcher believes that among the residents of a remote community, 30% have type O blood, 50% have type A blood, 10% have type B blood and 10% have type AB blood. She takes a random sample of 80 residents and finds that 20 had type O blood, 40 had type A blood, 12 had type B blood and 8 had type AB blood. Do the data follow the hypothesized distribution of blood type for this community? Test at a = .05. Round your answers to three decimal places, if necessary. Null hypothesis: Ho: Po = 0.3, PA = 0.5, PB = 0.1, PAB = 0.1 20 40 12 8 80 80 80 80 1 1 1 20 40 8 Ho: Po = Ho: Po = Alternative hypothesis: Ho: Po = PA = PB = PAB = Ha: po # Type O 1 Ha: Po PA PB = PAB = 4 20 › PA = PA = Type 0 20 24 40 80 80 Ha: Po 0.3, PA # 0.5, PB At least one of the proportions is different. Complete the table of observed counts: Type O , PA # 0.667 Type A PB = PB = 40 Type A 40 What is the test statistic? 2.667 1 ,PB # 0 , PAB = 1 12¹ PAB Complete the table of expected counts under the null hypothesis: 12…
During the month of January 2017, a total of 29,404 flights took off from a particular airport. Of all these flights, 23.9 % had a departure delay of more than 10 minutes. Suppose we randomly sample just 100 of these flights. Complete parts a through d. a. What sample proportion should we expect to see in such a sample, and how much should we expect the proportion to vary from sample to sample in samples of size 100? The mean is (Round to three decimal places as needed.)
Is the difference between the mean annual salaries of statisticians in Region 1 and Region 2 more than $4000? To decide, you select a random sample of statisticians from each region. The results of each survey are shown to the right. At a = 0.10, what should you conclude? Region 1 X1 = $67,700 01 = $8875 Region 2 X2 = $61,000 02 = $9250 n1 = 48 n2 = 44 Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. Choose the correct answer below. O A. Reject Ho. At the 10% significance level, there is sufficient evidence to support the claim that the difference between the mean annual salaries is more than $4000. O B. Fail to reject Ho. At the 10% significance level, there is sufficient evidence to support the claim that the difference between the mean annual salaries is more than $4000. OC. Reject Ho. At the 10% significance level, there is insufficient evidence to support the claim that the difference between…

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