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01.10.2019 •
Mathematics
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level.a.) suppose a sample of 1123 tenth graders is drawn. of the students sampled, 888 read above the eighth grade level. using the data, estimate the proportion of tenth graders reading at or below the eighth grade level. enter your answer as a fraction or a decimal number rounded to three decimal places.b.) suppose a sample of 1123 tenth graders is drawn. of the students sampled, 888 read above the eighth grade level. using the data, construct the 90% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level. round your answers to three decimal places.
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Ответ:
a) Given : Sample size of students : n =1123
Number of students read above the eighth grade level = 888
Then, Number of students read at or below the eighth grade level =1123-888=235
Then , the sample proportion of tenth graders reading at or below the eighth grade level.:
Since, the best estimate for the population proportion is the sample proportion.
Thus, the estimated proportion of tenth graders reading at or below the eighth grade level = 0.209
b) Significance level :![\alpha= 1-0.90=0.10](/tpl/images/0278/9612/c4d01.png)
Critical value :![z_{\alpha/2}=1.675](/tpl/images/0278/9612/54d66.png)
Confidence level for population proportion:-
Hence, the 90% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level = (0.189,0.229)
Ответ:
we know that
in the rule for the translation of a rectangle
the term means a translation of units to the left
the term means a translation of units up
therefore
the answer is the option
a translation of 2 units to the left and 7 units up