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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 23PFA

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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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