(a) State the null hypothesis H and the alternative hypothesis H. Ho H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) Can we conclude that the proportion of high school seniors who believe that "getting rich" is an important goal has changed? OYes ONo

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A decade-old study found that the proportion, p, of high school seniors who believer at "getting rich" was an important
personal goal was 70%. A researcher decides to test whether or not that percentagell stands. He finds that, among the
205 high school seniors in his random sample, 126 believe that "getting rich" is an
ortant goal. Can he conclude, at
the 0.05 level of significance, that the proportion has indeed changed?
Perform a two-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places and round y
(If necessary, consult a list of formulas.)
answers as specified in the table.
(a) State the null hypothesis H, and the alternative hypothesis H.
Ho
H :0
(b) Determine the type of test statistic to use.
D=D
(Choose one) ▼
(c) Find the value of the test statistic. (Round to three or more decimal places.)
ロ>口
(d) Find the p-value. (Round to three or more decimal places.)
(e) Can we conclude that the proportion of high school seniors who believe that
"getting rich" is an important goal has changed?
OYes ONo
Transcribed Image Text:A decade-old study found that the proportion, p, of high school seniors who believer at "getting rich" was an important personal goal was 70%. A researcher decides to test whether or not that percentagell stands. He finds that, among the 205 high school seniors in his random sample, 126 believe that "getting rich" is an ortant goal. Can he conclude, at the 0.05 level of significance, that the proportion has indeed changed? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round y (If necessary, consult a list of formulas.) answers as specified in the table. (a) State the null hypothesis H, and the alternative hypothesis H. Ho H :0 (b) Determine the type of test statistic to use. D=D (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) ロ>口 (d) Find the p-value. (Round to three or more decimal places.) (e) Can we conclude that the proportion of high school seniors who believe that "getting rich" is an important goal has changed? OYes ONo
Expert Solution
Given

n= 205

Sample proportion = 126/205 = 0.615


Population proportion = 0.7

 

 

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