there is no significant difference, at the 5% level, between towns A and B in their support for the candidate. However, the level α = 0.05 was chosen rather arbitrarily, and the candidate still does not know if he can trust the results when planning his campaign. Can we compare the two towns at all reasonable levels of significance? Compute the P-value of this test and state conclusions.

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According to Example 9.17 on p. 257, there is no significant difference, at the 5% level, between towns A and B in their support for the candidate. However, the level α = 0.05 was chosen rather arbitrarily, and the candidate still does not know if he can trust the results when planning his campaign. Can we compare the two towns at all reasonable levels of significance? Compute the P-value of this test and state conclusions.
Example 9.17 (PRE-ELECTION POLL). A candidate prepares for the local elections. Dur-
ing his campaign, 42 out of 70 randomly selected people in town A and 59 out of 100
randomly selected people in town B showed they would vote for this candidate. Estimate
the difference in support that this candidate is getting in towns A and B with 95% confi-
dence. Can we state affirmatively that the candidate gets a stronger support in town A?
Transcribed Image Text:Example 9.17 (PRE-ELECTION POLL). A candidate prepares for the local elections. Dur- ing his campaign, 42 out of 70 randomly selected people in town A and 59 out of 100 randomly selected people in town B showed they would vote for this candidate. Estimate the difference in support that this candidate is getting in towns A and B with 95% confi- dence. Can we state affirmatively that the candidate gets a stronger support in town A?
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