In a 2013 poll, it was found that 0.78 of Americans cover their mouth when sneezing. A sociologist claims that this proportion has decreased since then. She wishes to test the following claim (H1) at a significance level of a = =0.10. Ho: p = 0.78 H₁: p<0.78 She obtains a random sample of 21 Americans and finds that 13 cover their mouth when sneezing. The p-value for this test is the probability of observing... O at most 13 Americans cover their mouth when sneezing. O at least 13 Americans cover their mouth when sneezing. 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 O greater than a This test statistic leads to a decision to... O reject the null

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4AGP
Question
In a 2013 poll, it was found that 0.78 of Americans cover their mouth when sneezing. A sociologist claims
that this proportion has decreased since then. She wishes to test the following claim (H1) at a significance
level of a=0.10.
Ho p=0.78
H₁: p<0.78
She obtains a random sample of 21 Americans and finds that 13 cover their mouth when sneezing.
The p-value for this test is the probability of observing...
O at most 13 Americans cover their mouth when sneezing.
O at least 13 Americans cover their mouth when sneezing.
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 test statistic leads to a decision to...
O reject the null
O accept the null
O fail to reject the null
о
esc
W
4
925
%
e
S
P
ว
Transcribed Image Text:In a 2013 poll, it was found that 0.78 of Americans cover their mouth when sneezing. A sociologist claims that this proportion has decreased since then. She wishes to test the following claim (H1) at a significance level of a=0.10. Ho p=0.78 H₁: p<0.78 She obtains a random sample of 21 Americans and finds that 13 cover their mouth when sneezing. The p-value for this test is the probability of observing... O at most 13 Americans cover their mouth when sneezing. O at least 13 Americans cover their mouth when sneezing. 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 test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null о esc W 4 925 % e S P ว
As such, the final conclusion is that...
O There is sufficient evidence to warrant rejection of the claim that the population proportion of
Americans who cover their mouth when sneezing is less than 0.78.
O There is not sufficient evidence to warrant rejection of the claim that the population proportion of
Americans who cover their mouth when sneezing is less than 0.78.
O The sample data support the claim that the population proportion of Americans who cover their
mouth when sneezing is less than 0.78.
O There is not sufficient sample evidence to support the claim that the population proportion of
Americans who cover their mouth when sneezing is less than 0.78.
Submit Question
о
esc
2
#3
M
64
25
Transcribed Image Text:As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the population proportion of Americans who cover their mouth when sneezing is less than 0.78. O There is not sufficient evidence to warrant rejection of the claim that the population proportion of Americans who cover their mouth when sneezing is less than 0.78. O The sample data support the claim that the population proportion of Americans who cover their mouth when sneezing is less than 0.78. O There is not sufficient sample evidence to support the claim that the population proportion of Americans who cover their mouth when sneezing is less than 0.78. Submit Question о esc 2 #3 M 64 25
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