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:) For each of the situations below, define the parameter (proportion or mean) and write the null and alternative hypotheses in terms of parameter values. Example: We want to know if the proportion of up days in the stock market is 50%. Answer: Let p the proportion of up days. Ho: p = 0.5 vs. HA P# 0.5. : (a) Last year, customers spent an average of $45.82 per visit to the company's website. Based on a random sample of purchases this year, the company wants to know if the mean this year has changed. Let (p, p, μ, or x)= the of customer spending per visit to the website. ; HA Ho: (b) A pharmaceutical company wonders if their new drug has a cure rate lower than the 30% reported by the placebo. Let Ho: (p, p, μ, or )= the ; HA: Ho: of patients cured by the new drug. (c) A bank wants to know if the percentage of customers using their website has changed from the 40 % that used it before their system crashed last week. Let (p, p, μ, or ) the ; HA: of customers using the bank website.

:) For each of the situations below, define the parameter (proportion or mean) and write the null and alternative hypotheses in terms of parameter values. Example: We want to know if the proportion of up days in the stock market is 50%. Answer: Let p the proportion of up days. Ho: p = 0.5 vs. HA P# 0.5. : (a) Last year, customers spent an average of $45.82 per visit to the company's website. Based on a random sample of purchases this year, the company wants to know if the mean this year has changed. Let (p, p, μ, or x)= the of customer spending per visit to the website. ; HA Ho: (b) A pharmaceutical company wonders if their new drug has a cure rate lower than the 30% reported by the placebo. Let Ho: (p, p, μ, or )= the ; HA: Ho: of patients cured by the new drug. (c) A bank wants to know if the percentage of customers using their website has changed from the 40 % that used it before their system crashed last week. Let (p, p, μ, or ) the ; HA: of customers using the bank website.

MATLAB: An Introduction with Applications
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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:) For each of the situations below, define the parameter (proportion or mean) and write the null and alternative hypotheses in terms of parameter values. Example: We want to know if the proportion of up days in the stock market is 50%. Answer: Let p the proportion of up days. Ho: p = 0.5 vs. HA P# 0.5. : (a) Last year, customers spent an average of $45.82 per visit to the company's website. Based on a random sample of purchases this year, the company wants to know if the mean this year has changed. Let (p, p, μ, or x)= the of customer spending per visit to the website. ; HA Ho: (b) A pharmaceutical company wonders if their new drug has a cure rate lower than the 30% reported by the placebo. Let Ho: (p, p, μ, or )= the ; HA: Ho: of patients cured by the new drug. (c) A bank wants to know if the percentage of customers using their website has changed from the 40 % that used it before their system crashed last week. Let (p, p, μ, or ) the ; HA: of customers using the bank website.
Transcribed Image Text::) For each of the situations below, define the parameter (proportion or mean) and write the null and alternative hypotheses in terms of parameter values. Example: We want to know if the proportion of up days in the stock market is 50%. Answer: Let p the proportion of up days. Ho: p = 0.5 vs. HA P# 0.5. : (a) Last year, customers spent an average of $45.82 per visit to the company's website. Based on a random sample of purchases this year, the company wants to know if the mean this year has changed. Let (p, p, μ, or x)= the of customer spending per visit to the website. ; HA Ho: (b) A pharmaceutical company wonders if their new drug has a cure rate lower than the 30% reported by the placebo. Let Ho: (p, p, μ, or )= the ; HA: Ho: of patients cured by the new drug. (c) A bank wants to know if the percentage of customers using their website has changed from the 40 % that used it before their system crashed last week. Let (p, p, μ, or ) the ; HA: of customers using the bank website.
(3) A very large study showed that aspirin reduced the rate of first heart attacks by 50%. A pharmaceutical company thinks it has a drug that will be more effective than aspirin, and plans to do a randomized clinical trial to test the new drug. (a) Is the alternative to the null hypothesis more naturally one-sided or two-sided? Explain. The alternative hypothesis is more naturally like to determine if the new drug is aspirin. because the company would (more, less, either more or less) effective than (b) If the P-value from a clinical trial testing the hypothesis is 0.27. What do you conclude? If the P-value is 0.27, then there is that the new drug is more effective than aspirin because the P-value is small). (sufficient, not sufficient) evidence to conclude (large, (c) If the P-value from a clinical trial testing the hypothesis is 0.0027. What do you conclude? If the P-value is 0.0027, then there is (sufficient, not sufficient) evidence to conclude that the new drug is more effective than aspirin because the P-value is (large, small). (4) A test preparation claims that more than 50% of the students who take their test prep course improve their scores by at least 10 points. Instead of advertising the percentage of customers who improve by at least 10 points, a manager suggests testing whether the mean score improves at all. For each customer they record the difference in score before and after taking the course (After - Before). (a) State the null and alternative hypotheses. (b) The P-value from the test is 0.65. Does this provide any evidence that their course works? The P-value is (large, small) so the test provides insufficient) evidence that the course works. (sufficient,
Transcribed Image Text:(3) A very large study showed that aspirin reduced the rate of first heart attacks by 50%. A pharmaceutical company thinks it has a drug that will be more effective than aspirin, and plans to do a randomized clinical trial to test the new drug. (a) Is the alternative to the null hypothesis more naturally one-sided or two-sided? Explain. The alternative hypothesis is more naturally like to determine if the new drug is aspirin. because the company would (more, less, either more or less) effective than (b) If the P-value from a clinical trial testing the hypothesis is 0.27. What do you conclude? If the P-value is 0.27, then there is that the new drug is more effective than aspirin because the P-value is small). (sufficient, not sufficient) evidence to conclude (large, (c) If the P-value from a clinical trial testing the hypothesis is 0.0027. What do you conclude? If the P-value is 0.0027, then there is (sufficient, not sufficient) evidence to conclude that the new drug is more effective than aspirin because the P-value is (large, small). (4) A test preparation claims that more than 50% of the students who take their test prep course improve their scores by at least 10 points. Instead of advertising the percentage of customers who improve by at least 10 points, a manager suggests testing whether the mean score improves at all. For each customer they record the difference in score before and after taking the course (After - Before). (a) State the null and alternative hypotheses. (b) The P-value from the test is 0.65. Does this provide any evidence that their course works? The P-value is (large, small) so the test provides insufficient) evidence that the course works. (sufficient,
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