Several years ago,
4545%
of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked
1 comma 1451,145
parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the
1 comma 1451,145
surveyed,
465465
indicated that they were satisfied. Construct a
9595%
confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed.
What are the null and alternative hypotheses?
Upper H 0H0:
p
equals=
0.450.45 versus
Upper H 1H1:
p
not equals≠
0.450.45
(Round to two decimal places as needed.)
Use technology to find the
95%
confidence interval.
The lower bound is
The upper bound is
(Round to two decimal places as needed.)
Sample proportion = 465 / 1145 = 0.406
95% confidence interval for p is
- Z/2 * sqrt [ ( 1 - ) / n] < p < + Z/2 * sqrt [ ( 1 - ) / n]
0.406 - 1.96 * sqrt [ 0.406 ( 1 - 0.406) / 1145] < p < 0.406 + 1.96 * sqrt [ 0.406 ( 1 - 0.406) / 1145]
0.378 < p < 0.434
Lower bound = 0.38
Upper bound = 0.43
Several years ago, 4545% of parents who had children in grades K-12 were satisfied with the...
Several years ago, 4949% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1 comma 1251,125 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1 comma 1251,125 surveyed, 487487 indicated that they were satisfied. Construct a 9595% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have...
Several years ago, 4444% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1 comma 1451,145 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1 comma 1451,145 surveyed, 451451 indicated that they were satisfied. Construct a 9595% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have...
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