:) 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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

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.

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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