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2. Heidi plays horseshoes. There were 60 innings in which she had a double in the previous inning. In those cases, she subsequently had a double 42 times. There were innings in which she had a non-double in the previous inning. She subsequently had a double 18 times. (i) Find the sample probabilities of getting a double following a double and of getting double following a non-double. (ii) Find the pooled probability and pooled standard error under the null hypothesis equal probabilities.

2. Heidi plays horseshoes. There were 60 innings in which she had a double in the previous inning. In those cases, she subsequently had a double 42 times. There were innings in which she had a non-double in the previous inning. She subsequently had a double 18 times. (i) Find the sample probabilities of getting a double following a double and of getting double following a non-double. (ii) Find the pooled probability and pooled standard error under the null hypothesis equal probabilities.

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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2. Heidi plays horseshoes. There were 60 innings in which she had a double in the previous inning. In those cases, she subsequently had a double 42 times. There were 40 innings in which she had a non-double in the previous inning. She subsequently had a double 18 times. (i) Find the sample probabilities of getting a double following a double and of getting a double following a non-double. (ii) Find the pooled probability and pooled standard error under the null hypothesis of equal probabilities. (iii) Test whether the probability of getting a double following a double differs from the probability of getting a double following a non-double.
Transcribed Image Text:2. Heidi plays horseshoes. There were 60 innings in which she had a double in the previous inning. In those cases, she subsequently had a double 42 times. There were 40 innings in which she had a non-double in the previous inning. She subsequently had a double 18 times. (i) Find the sample probabilities of getting a double following a double and of getting a double following a non-double. (ii) Find the pooled probability and pooled standard error under the null hypothesis of equal probabilities. (iii) Test whether the probability of getting a double following a double differs from the probability of getting a double following a non-double.
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