7.55 A random sample of size n = 196 yielded p a. Is the sample size large enough to use the methods of this section to construct a confidence interval for p? Explain. b. Construct a 95% confidence interval for p. c. Interpret the 95% confidence interval. d. Explain what is meant by the phrase "95% confidence interval." = .64. %3D %3D

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Learning the Mechanics
7.55 A random sample of size n = 196 yielded p = .64.
a. Is the sample size large enough to use the methods of
this section to construct a confidence interval for p?
Explain.
b. Construct a 95% confidence interval for p.
c. Interpret the 95% confidence interval.
d. Explain what is meant by the phrase "95% confidence
interval."
%3D
7.56 A random sample of size n = 144 yielded p = .76.
a. Is the sample size large enough to use the methods of
this section to construct a confidence interval for p?
Explain.
b. Construct a 90% confidence interval for p.
7.6
c. What assumption is necessary to ensure the validity of
this confidence interval?
7.57 For the binomial sample information summarized in each
part, indicate whether the sample size is large enough to
use the methods of this chapter to construct a confidence
interval for p.
500, p
100, p = .05
.5
.05
a. n =
b. n =
%3D
c. n = 10, p
7.
d. n =
10, i
.3
|3D
7.58 A random sample of 50 consumers taste-tested a new
snack food. Their responses were coded (0: do not like; 1:
SNACK like; 2: indifferent) and recorded as follows:
1
1
1
0.
1
0.
2 0
0.
141011
140000
1021 0
120 0
82101
2001-
Transcribed Image Text:Learning the Mechanics 7.55 A random sample of size n = 196 yielded p = .64. a. Is the sample size large enough to use the methods of this section to construct a confidence interval for p? Explain. b. Construct a 95% confidence interval for p. c. Interpret the 95% confidence interval. d. Explain what is meant by the phrase "95% confidence interval." %3D 7.56 A random sample of size n = 144 yielded p = .76. a. Is the sample size large enough to use the methods of this section to construct a confidence interval for p? Explain. b. Construct a 90% confidence interval for p. 7.6 c. What assumption is necessary to ensure the validity of this confidence interval? 7.57 For the binomial sample information summarized in each part, indicate whether the sample size is large enough to use the methods of this chapter to construct a confidence interval for p. 500, p 100, p = .05 .5 .05 a. n = b. n = %3D c. n = 10, p 7. d. n = 10, i .3 |3D 7.58 A random sample of 50 consumers taste-tested a new snack food. Their responses were coded (0: do not like; 1: SNACK like; 2: indifferent) and recorded as follows: 1 1 1 0. 1 0. 2 0 0. 141011 140000 1021 0 120 0 82101 2001-
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