Several years​ ago, 44​%of parents who had children in grades​ K-12 were satisfied with the quality of education the students receive. A recent poll asked 1,195parents who have children in grades​ K-12 if they were satisfied with the quality of education the students receive. Of the1,195​surveyed,474indicated that they were satisfied. Construct a 95​%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▼ less than<greater than>not equals≠equals=nothingversusUpper H 1H1​:p▼ not equals≠less than<equals=greater than>nothing​(Round to two decimal places as​ needed.)

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Asked Nov 16, 2019
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Several years​ ago, 44​%of parents who had children in grades​ K-12 were satisfied with the quality of education the students receive. A recent poll asked 1,195
parents who have children in grades​ K-12 if they were satisfied with the quality of education the students receive. Of the
1,195
​surveyed,
474
indicated that they were satisfied. Construct a 95​%
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
 
less than<
greater than>
not equals≠
equals=
nothing
versus
Upper H 1H1​:
p
 
not equals≠
less than<
equals=
greater than>
nothing
​(Round to two decimal places as​ needed.)
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Expert Answer

Step 1

The null and alternative hypothesis is given below:

From the given information, the population proportion (p) is 0.44 and the claim of the test parents attitudes toward the quality of education have changed or not.

The null hypothesis is,

H0: p = 0.44

The null hypothesis is,

Ha: p ≠0.44

Step 2

The 95​% confidence interval to assess whether this represents evidence that​ parents' attitudes toward the quality of education have changed is obtained below:

Step-by-step procedure to obtain the mean, median, mode, range and standard deviation using MINITAB:

  • Choose Stat > Basic Statistics > 1 Proportion.
  • Choose Summarized data.
  • In ...
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Test and Cl for One Proportion 95% CI Sample p Sample x 1 474 1195 0.396653 (0.368916, 0.424389)

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