You are conducting a study to see if the probability of catching the flu this year is significantly more than 0.42. You use a significance level of α=0.005. H0:p=0.42 H1:p>0.42 You obtain a sample of size n=711 in which there are 318 successes. (a) What is the critical value for this test?(Report answer accurate to three decimal places.) CV = (b) What is the test statistic for this sample? (Report answer accurate to three decimal places.) TS = (c) The Test Statistic is than the Critical Value; more extreme less extreme (d) so we _ the null hypothesis. reject H_0 fail to reject H_0 (e) What is the p-value for this sample? (Round ONLY the final answer accurate to four decimal places. Do not use any rounded values in the calculation.) p-value = (f) The p-value is... less than (or equal to) α greater than α (g) This p-value leads to a decision to... reject the null accept the null fail to reject the null (h) As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the probability of catching the flu this year is more than 0.42. There is not sufficient evidence to warrant rejection of the claim that the probability of catching the flu this year is more than 0.42. The sample data support the claim that the probability of catching the flu this year is more than 0.42. There is not sufficient sample evidence to support the claim that the probability of catching the flu this year is more than 0.42.

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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Question

You are conducting a study to see if the probability of catching the flu this year is significantly more than 0.42. You use a significance level of α=0.005.

H0:p=0.42
H1:p>0.42

You obtain a sample of size n=711 in which there are 318 successes.

(a) What is the critical value for this test?(Report answer accurate to three decimal places.)
CV =

(b) What is the test statistic for this sample? (Report answer accurate to three decimal places.)
TS =

(c) The Test Statistic is ________ than the Critical Value;

more extreme
less extreme

(d) so we _________ the null hypothesis.

reject H_0
fail to reject H_0

(e) What is the p-value for this sample? (Round ONLY the final answer accurate to four decimal places. Do not use any rounded values in the calculation.)
p-value =

(f) The p-value is...

less than (or equal to) α
greater than α

(g) This p-value leads to a decision to...

reject the null
accept the null
fail to reject the null

(h) As such, the final conclusion is that...

There is sufficient evidence to warrant rejection of the claim that the probability of catching the flu this year is more than 0.42.
There is not sufficient evidence to warrant rejection of the claim that the probability of catching the flu this year is more than 0.42.
The sample data support the claim that the probability of catching the flu this year is more than 0.42.
There is not sufficient sample evidence to support the claim that the probability of catching the flu this year is more than 0.42.

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