You are conducting a study to see if the probability of catching the flu this year is significantly less than 0.22. You use a significance level of α=0.005α=0.005.       H0:p=0.22H0:p=0.22       H1:p<0.22H1:p<0.22 You obtain a sample of size n=430n=430 in which there are 77 successes. What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =  The p-value is... less than (or equal to) αα greater than αα This p-value leads to a decision to... reject the null accept the null fail to reject the null 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 less than 0.22. There is not sufficient evidence to warrant rejection of the claim that the probability of catching the flu this year is less than 0.22. The sample data support the claim that the probability of catching the flu this year is less than 0.22. There is not sufficient sample evidence to support the claim that the probability of catching the flu this year is l

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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You are conducting a study to see if the probability of catching the flu this year is significantly less than 0.22. You use a significance level of α=0.005α=0.005.

      H0:p=0.22H0:p=0.22
      H1:p<0.22H1:p<0.22

You obtain a sample of size n=430n=430 in which there are 77 successes.

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value = 

The p-value is...

  • less than (or equal to) αα
  • greater than αα



This p-value leads to a decision to...

  • reject the null
  • accept the null
  • fail to reject the null



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 less than 0.22.
  • There is not sufficient evidence to warrant rejection of the claim that the probability of catching the flu this year is less than 0.22.
  • The sample data support the claim that the probability of catching the flu this year is less than 0.22.
  • There is not sufficient sample evidence to support the claim that the probability of catching the flu this year is less than 0.22.
You are conducting a study to see if the probability of catching the flu this year is significantly less than
0.22. You use a significance level of a = 0.005.
Но:р — 0.22
H:р < 0.22
You obtain a sample of size n = 430 in which there are 77 successes.
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
The p-value is...
O less than (or equal to) a
greater than a
This p-value leads to a decision to...
O reject the null
accept the null
O fail to reject the null
As such, the final conclusion is that...
O There is sufficient evidence to warrant rejection of the claim that the probability of catching the flu
this year is less than 0.22.
O There is not sufficient evidence to warrant rejection of the claim that the probability of catching the
flu this year is less than 0.22.
O The sample data support the claim that the probability of catching the flu this year is less than 0.22.
O There is not sufficient sample evidence to support the claim that the probability of catching the flu
this year is less than 0.22.
Transcribed Image Text:You are conducting a study to see if the probability of catching the flu this year is significantly less than 0.22. You use a significance level of a = 0.005. Но:р — 0.22 H:р < 0.22 You obtain a sample of size n = 430 in which there are 77 successes. What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a greater than a This p-value leads to a decision to... O reject the null accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the probability of catching the flu this year is less than 0.22. O There is not sufficient evidence to warrant rejection of the claim that the probability of catching the flu this year is less than 0.22. O The sample data support the claim that the probability of catching the flu this year is less than 0.22. O There is not sufficient sample evidence to support the claim that the probability of catching the flu this year is less than 0.22.
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