Are mathematically minded people more likely to be left-handed than those who aren't so interested in maths? In a survey of 85 randomly selected students taking second year mathematics courses, 12 are left-handed. In the general population, about 11% of people are left-handed. Does this provide evidence that second year maths students are more likely to be left-handed than would be expected based on the general population? Let T be the true proportion of people who are left-handed. Then Họ : 0.11 and Ha : > 0.11 (Enter your numerical answers as exact values) The test statistic is z = 0.919 · (Enter your answer correct to 3 decimal places) The test statistic comes from a N( Number Number ) distribution if Ho is true. (Enter the exact values) The P-value is 0.179 · (Enter your answer correct to 3 decimal places) Hence, there is no evidence against Ho, that is, there is no evidence that mathematically minded
Are mathematically minded people more likely to be left-handed than those who aren't so interested in maths? In a survey of 85 randomly selected students taking second year mathematics courses, 12 are left-handed. In the general population, about 11% of people are left-handed. Does this provide evidence that second year maths students are more likely to be left-handed than would be expected based on the general population? Let T be the true proportion of people who are left-handed. Then Họ : 0.11 and Ha : > 0.11 (Enter your numerical answers as exact values) The test statistic is z = 0.919 · (Enter your answer correct to 3 decimal places) The test statistic comes from a N( Number Number ) distribution if Ho is true. (Enter the exact values) The P-value is 0.179 · (Enter your answer correct to 3 decimal places) Hence, there is no evidence against Ho, that is, there is no evidence that mathematically minded
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Transcribed Image Text:Are mathematically minded people more likely to be left-handed than those who aren't so interested in maths? In a survey of 85 randomly selected students
taking second year mathematics courses, 12 are left-handed. In the general population, about 11% of people are left-handed.
Does this provide evidence that second year maths students are more likely to be left-handed than would be expected based on the general population?
Let T be the true proportion of people who are left-handed. Then
Но:
0.11
and Ha :
>
0.11
(Enter your numerical answers as exact values)
The test statistic is z =
0.919
(Enter your answer correct to 3 decimal places)
The test statistic comes from a N(
Number
Number
) distribution if Ho is true. (Enter the exact values)
The P-value is
0.179
(Enter your answer correct to 3 decimal places)
Hence, there is
evidence against Ho, that is, there is
evidence that mathematically minded
no
no
people are more likely to be left-handed.
Transcribed Image Text:What assumptions did you make? Do these assumptions seem reasonable? Tick all answers that apply.
We have a random sample.
(Seems reasonable, from what we know of the study design.)
The data are normal
(Seems reasonable, from the normal quantile plot.)
We have a random sample
(Does not seem reasonable.)
P is approximately normal
(Seems reasonable, since nT0 (1 – TO) > 5.)
The sample mean is normally distributed
(Seems reasonable for a sample size of 85, by the Central Limit Theorem, and since data aren't strongly skewed with big outliers.)
The data are normal
(Does not seem reasonable, from the normal quantile plot.)
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