In a city 15% of the bus riders with a monthly pass are students in a random sam
ID: 2908507 • Letter: I
Question
In a city 15% of the bus riders with a monthly pass are students in a random sample of 50 bus riders with monthly passes 12 are students 2015 K12 Inc A rights reserved Copying or distributing wthout K12s witien consent is prohibited Page 1 of 2 Math ) Graded Assignment Unil Test, Part 2 |Sampling Score for Queation 2of 5 points) 2. Forty-two percent of the members in a book club prefer to read nonfiction books Use the Table of Random Digits on pages A-3 to A-4 in the reference guide to simulate randomly selecting and asking 15 members, Do you prefer to read fiction or nonfiction books? Let the digits 01 through 42 represent a response of nonfiction. (a) Start at the beginning of line 122 and write the first 30 digits as two-digit numbers Circle those that represent a response of nonfiction. (b) Write p and p for the sihuation FB F9 F10 F11 F12 8 5 6 7 8Explanation / Answer
Solution:
1)
p = 0.15
p^ is the sample proportion which comes from the data
In this case p^ = 12/50 = 0.24
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2) (a) This means that our sample score is 3.1 standard errors apart from the initial score. So to compare with standard z table you find that for a standard error of 0.07 and and a difference of 3.1 standard errors between the proportional and initial score we have 0.0008 probability of z (20% sample) being less than its value.
(b) We can conclude that p-value is 0.0016 and also the 42% hypothesis is highly probable in this situation
p^ = 15/42 = 0.3571