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#### All Subjects Mathematics Calculus What is the point estimate of the true proportion of people who wear hearing aids

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# What is the point estimate of the true proportion of people who wear hearing aids

Question # 00005521
Subject: Mathematics
Topic: Calculus
Due on: 12/17/2013
Posted On: 12/16/2013 10:51 PM

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Question

1. What is the point estimate of the true proportion of people who wear hearing aids if, in a random sample of 676 people, 35 people had hearing aids? (Points : 6)
0.050
0.052
0.948
0.049

Question 2. 2. The following confidence interval is obtained for a population proportion, p:(0.499, 0.525). What is the point estimate, pq5_7? (Points : 6)
0.525
0.499
0.518
0.512

Question 3. 3. The following confidence interval is obtained for a population proportion, p:0.332 < p < 0.372. What is the margin of error, E? (Points : 6)
0.040
0.352
0.020
0.021

Question 4. 4. What is the critical value e3_1 that corresponds to a level of confidence of 98%? (Points : 6)
2.575
1.75
2.05
2.33

Question 5. 5. What is the margin of error for the 95% confidence interval used to estimate the population proportion, given that n = 184 and x = 93? (Points : 6)
0.0722
0.0650
0.00266
0.126

Question 6. 6. In a clinical test with 2219 subjects, 70% showed improvement from the treatment.
What is the margin of error for the 95% confidence interval used to estimate the population proportion? (Points : 6)
0.0191
0.0254
0.0211
0.0160

Question 7. 7. In a survey of 3000 T.V. viewers, 40% said they watch network news programs. What is the margin of error for the 95% confidence interval used to estimate the population proportion? (Points : 6)
0.0131
0.0201
0.0230
0.0175

Question 8. 8. What is the minimum sample size you should use to assure that your estimate of pq5_7 will be within the required margin of error around the population p? Margin of error: 0.018; confidence level: 99%; and e3_18 are unknown. (Points : 6)
36
72
1
5117

Question 9. 9. What is the minimum sample size you should use to assure that your estimate of pq5_7 will be within the required margin of error around the population p? Margin of error: 0.04; confidence level: 95%; from a prior study, pq5_7 is estimated by the decimal equivalent of 94%. (Points : 6)
136
120
5
408

Question 10. 10. Use the confidence level and sample data to find the margin of error E.

Replacement times for washing machines: 90% confidence; n = 33, e3_29 = 11.2 years,

sigma ? = 2.3 years. (Points : 7)
0.7 years
0.1 years
5.7 years
0.5 years

Question 11. 11. A random sample of 107 light bulbs had a mean life of e3_29 = 590 hours with a standard deviation of sigma ? = 27 hours. Construct a 90 percent confidence interval for the mean life, ?, of all light bulbs of this type.

583 < ? < 597
585 < ? < 595
584 < ? < 596
586 < ? < 594

(Points : 7)

Question 12. 12. Do one of the following, as appropriate: Find the critical value e3_1, find the critical value pq5_3, or state that neither the normal nor the t distribution applies. 91% level of confidence; n = 45; sigma ? is known; population appears to be very skewed.

e3_1 = 1.75
e3_1 = 1.70
pq5_3 = 1.34
pq5_3 = 1.645

(Points : 7)
Neither the normal nor the t distribution applies

Question 13. 13. A random sample of 90 full-grown lobsters had a mean weight of 18 ounces and a standard deviation of s=2.8 ounces. Construct a 98 percent confidence interval for the population mean ?.

17 < ? < 19
18 < ? < 20
17 < ? < 20
16 < ? < 18

(Points : 6)

Question 14. 14. Find the margin of error given 95% confidence interval; n = 91 ; e3_29 = 26, s = 12.3. (Points : 6)
5.27
2.71
3.01
2.56

Question 15. 15. Use the given level of confidence and sample data to construct a confidence interval for the

population mean ?. Assume that the population has a normal distribution. n = 10, e3_29 = 8.0, s = 2.5, 95 percent.

6.24 < ? < 9.76
6.21 < ? < 9.79
6.17 < ? < 9.93
6.55 < ? < 9.45

(Points : 6)

Question 16. 16. Use the margin of error, confidence level, and standard deviation ? to find the minimum sample size required to estimate an unknown population mean ?. Margin of error: \$125, confidence level: 95%, sigma ? = \$524. (Points : 7)
2
68
5
59

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#### Multiple choice Statistics Solutions

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