Algebra students in a local high school use a computer-based program to brush up on algebra skills to be assessed by a test. The program claims that 80% of students using the program will pass the test. After an early pilot of the new program, only 35 of 50 students passed the test. A 1-proportion z test is going to be conducted to see if there's evidence that the true passing rate is less than what was claimed. The null hypothesis is p = 0.80. (a) What is the alternative hypothesis? ⒸH₂: P + 0.80 ⒸH₂: p > 0.80 ⒸH₂: P = 0.80 H₂: P < 0.80 (b) What is the value of z, the test statistic? (Round your answer to two decimal places.) z = (c) What is the P-value? (Use a table or technology. Round your answer to four decimal places.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Algebra students in a local high school use a computer-based program to brush up on algebra skills to be assessed by a test. The program claims that 80% of students using the program will pass the
test. After an early pilot of the new program, only 35 of 50 students passed the test.
A 1-proportion z test is going to be conducted to see if there's evidence that the true passing rate is less than what was claimed. The null hypothesis is p
= 0.80.
(a) What is the alternative hypothesis?
H₂: P = 0.80
H₂: p > 0.80
H₂ P= = 0.80
H₂: p<
< 0.80
0000
(b) What is the value of z, the test statistic? (Round your answer to two decimal places.)
Z =
(c) What is the P-value? (Use a table or technology. Round your answer to four decimal places.)
Transcribed Image Text:Algebra students in a local high school use a computer-based program to brush up on algebra skills to be assessed by a test. The program claims that 80% of students using the program will pass the test. After an early pilot of the new program, only 35 of 50 students passed the test. A 1-proportion z test is going to be conducted to see if there's evidence that the true passing rate is less than what was claimed. The null hypothesis is p = 0.80. (a) What is the alternative hypothesis? H₂: P = 0.80 H₂: p > 0.80 H₂ P= = 0.80 H₂: p< < 0.80 0000 (b) What is the value of z, the test statistic? (Round your answer to two decimal places.) Z = (c) What is the P-value? (Use a table or technology. Round your answer to four decimal places.)
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