A recent Gallup Poll asked 1523 adults if they bought a lottery ticket in the past year. Eight hundred sixty-eight (868) of the adults said "Yes." The poll was carried out by telephone, so people without phones were excluded from the sample. 1. Provide the sample proportion, p hat, used to estimate the population proportion p of all adults who bought a lottery ticket. 2. Find a 90% confidence interval for the population proportion p of all adults who bought a lottery ticket in the past year. 3. Write a sentence interpreting your 90% confidence interval in the context of this problem.
A recent Gallup Poll asked 1523 adults if they bought a lottery ticket in the past year. Eight hundred sixty-eight (868) of the adults said "Yes." The poll was carried out by telephone, so people without phones were excluded from the sample.
1. Provide the sample proportion, p hat, used to estimate the population proportion p of all adults who bought a lottery ticket.
2. Find a 90% confidence interval for the population proportion p of all adults who bought a lottery ticket in the past year.
3. Write a sentence interpreting your 90% confidence interval in the context of this problem.
From the provided information
Sample size (n) = 1523, x = 868
1)
The sample proportion can be obtained as:
2)
Confidence level = 90%
The critical value of z at 90% confidence level from the standard normal table is 1.645.
The required 90% confidence interval can be obtained as:
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