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.

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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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