Solution :
Given that,
Point estimate = sample proportion = = x / n = 23 / 100 = 0.23
1 - = 1 - 0.23 = 0.77
Z/2 = 1.645
Margin of error = E = Z / 2 * (( * (1 - )) / n)
= 1.645 * (((0.23 * 0.77) / 100)
Margin of error = E = 0.0692
A 90% confidence interval for population proportion p is ,
- E < p < + E
0.23 - 0.0692 < p < 0.23 + 0.0692
0.1608 < p < 0.2992
(0.1608 , 0.2992)
option A.
Consider the following study that in a random sample of 100 houses in Toronto, 23 are...
Multiple Choice Question Consider the following study that in a random sample of 100 houses in Toronto, 23 are heated by electricity. Construct a 90% confidence interval for the proportion of houses in Toronto that are heated by electricity. A. (0.1608, 0.2992] B. (0.1508, 0.2992] C. (0.0, 1.0) D. (0.1608, 0.3145] E. none of the above
5. Multiple Choice Question Consider the following study that in a random sample of 100 houses in Toronto, 23 are heated by electricity. Construct a 90% confidence interval for the proportion of houses in Toronto that are heated by electricity. A. 10.1608, 0.2992] B. |0.1508, 0.2992] C. 10.0, 1.01 D. (0.1608, 0.3145) E. none of the above
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