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A group of 1280 students were asked which electronic device they preferred. The results per age group are given in the following table. Preferred device Laptop Tablet Mobile phone Total 11-13 143 205 72 420 Age 14-16 160 224 128 512 17-18 153 131 64 348 Total 456 560 264 1280 (a) A student from the group is chosen at random. Calculate the probability that the student (1) prefers a tablet.

A group of 1280 students were asked which electronic device they preferred. The results per age group are given in the following table. Preferred device Laptop Tablet Mobile phone Total 11-13 143 205 72 420 Age 14-16 160 224 128 512 17-18 153 131 64 348 Total 456 560 264 1280 (a) A student from the group is chosen at random. Calculate the probability that the student (1) prefers a tablet.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A group of 1280 students were asked which electronic device they preferred. The results per age group are given in the following table. Preferred device Laptop Tablet 11-13 143 205 72 420 Age 14-16 160 224 128 512 (b) (c) (d) (i) (ii) (iii) 17-18 153 131 Mobile phone Total (a) A student from the group is chosen at random. Calculate the probability that the student Total 456 560 264 1280 64 348 (i) prefers a tablet. (ii) is 11-13 years old and prefers a mobile phone. (ii) prefers a laptop given that they are 17-18 years old. (iv) prefers a tablet or is 14-16 years old. A x² test for independence was performed on the collected data at the 1% significance level. The critical value for the test is 13.277. State the null and alternative hypotheses. Write down the number of degrees of freedom. Write down the x² test statistic. Write down the p-value. State the conclusion for the test in context. Give a reason for your answer.
Transcribed Image Text:A group of 1280 students were asked which electronic device they preferred. The results per age group are given in the following table. Preferred device Laptop Tablet 11-13 143 205 72 420 Age 14-16 160 224 128 512 (b) (c) (d) (i) (ii) (iii) 17-18 153 131 Mobile phone Total (a) A student from the group is chosen at random. Calculate the probability that the student Total 456 560 264 1280 64 348 (i) prefers a tablet. (ii) is 11-13 years old and prefers a mobile phone. (ii) prefers a laptop given that they are 17-18 years old. (iv) prefers a tablet or is 14-16 years old. A x² test for independence was performed on the collected data at the 1% significance level. The critical value for the test is 13.277. State the null and alternative hypotheses. Write down the number of degrees of freedom. Write down the x² test statistic. Write down the p-value. State the conclusion for the test in context. Give a reason for your answer.
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