A decade-old study found that the proportion, p, of high school seniors who believed that "getting rich" was an important personal goal was 80%. A researche decides to test whether or not that percentage still stands. He finds that, among the 245 high school seniors in his random sample, 178 believe that "getting rich" is an important goal. Can he conclude, at the 0.01 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. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho: p=0.80 H₁ :p # 0.80 (b) Determine the type of test statistic to use. Z ▼ (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.) 7 u XI 4 O S 0=0 OSO X 0#0 OO

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A decade-old study found that the proportion, p, of high school seniors who believed that "getting rich" was an important personal goal was 80%. A researche
decides to test whether or not that percentage still stands. He finds that, among the 245 high school seniors in his random sample, 178 believe that "getting
rich" is an important goal. Can he conclude, at the 0.01 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. (If necessary, consult a list of formulas.)
(a) State the null hypothesis Ho and the alternative hypothesis H₁.
H₁ :p = 0.80
H₁ :p 0.80
(b) Determine the type of test statistic to use.
Z
(c) Find the value of the test statistic. (Round to three or more decimal places.)
7
(d) Find the p-value. (Round to three or more decimal places.)
XI
S
0=0 OSO
0#0 0<0
X
Р
Ś
010
0>0
Transcribed Image Text:A decade-old study found that the proportion, p, of high school seniors who believed that "getting rich" was an important personal goal was 80%. A researche decides to test whether or not that percentage still stands. He finds that, among the 245 high school seniors in his random sample, 178 believe that "getting rich" is an important goal. Can he conclude, at the 0.01 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. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. H₁ :p = 0.80 H₁ :p 0.80 (b) Determine the type of test statistic to use. Z (c) Find the value of the test statistic. (Round to three or more decimal places.) 7 (d) Find the p-value. (Round to three or more decimal places.) XI S 0=0 OSO 0#0 0<0 X Р Ś 010 0>0
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