gırl playing on the football team because there is not a football team for girls." To investigate this laim, an SRS of 100 males from a large local high school is selected. In the sample, 38 males greed with the statement. We used technology to simulate choosing 240 SRSS of size n = 100 rom a population of males where 53% agreed with the statement. The dotplot shows p ample proportion of males who agree with the statement for each of the 240 samples. = the

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A local news story claims that 53% of high school males agree with the statement "I am ok with a
girl playing on the football team because there is not a football team for girls." To investigate this
claim, an SRS of 100 males from a large local high school is selected. In the sample, 38 males
agreed with the statement. We used technology to simulate choosing 240 SRSS of size n = 100
from a population of males where 53% agreed with the statement. The dotplot shows p
sample proportion of males who agree with the statement for each of the 240 samples.
= the
0.35
0.40
0.45
0.50
0.55
p= the sample proportion of males who agree with the statement
0.60
0.65
0.70
Is there convincing evidence that less than 53% of all males at the school agree with the
statement?
O Yes, 38% is less than 53% so this proves that the claim made by the news story is false.
O No, the sampling distribution is centered at 0.53, so this validates the claim made in the news story.
O No, 38% is a plausible value based upon the dotplot, so we cannot reject the claim made in the news story.
O Yes. It would be very surprising to get a sample proportion of p" = 0.38 or less in an SRS of size 100 when p
= 0.53.
O No, because p = 0.53 was one of the most common values in the sampling distribution.
....
Transcribed Image Text:A local news story claims that 53% of high school males agree with the statement "I am ok with a girl playing on the football team because there is not a football team for girls." To investigate this claim, an SRS of 100 males from a large local high school is selected. In the sample, 38 males agreed with the statement. We used technology to simulate choosing 240 SRSS of size n = 100 from a population of males where 53% agreed with the statement. The dotplot shows p sample proportion of males who agree with the statement for each of the 240 samples. = the 0.35 0.40 0.45 0.50 0.55 p= the sample proportion of males who agree with the statement 0.60 0.65 0.70 Is there convincing evidence that less than 53% of all males at the school agree with the statement? O Yes, 38% is less than 53% so this proves that the claim made by the news story is false. O No, the sampling distribution is centered at 0.53, so this validates the claim made in the news story. O No, 38% is a plausible value based upon the dotplot, so we cannot reject the claim made in the news story. O Yes. It would be very surprising to get a sample proportion of p" = 0.38 or less in an SRS of size 100 when p = 0.53. O No, because p = 0.53 was one of the most common values in the sampling distribution. ....
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