Factor the polynomial. Factor completely. 11xy^5 + 77x^2y^4
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Answer:
Hence, since z ( - 0.4 ) is greater than ( -1.65 );
we reject H₀, Null hypothesis,
Therefore, There is no evidence that there has been a significance decrease in the proportion of students who change their major after the first year in the program.
Step-by-step explanation:
Given the data in the question;
Let p = 50% = 0.5
Hypothesis;
Null hypothesis H₀ : p ≥ 0.5
Alternative hypothesis H₁ : p < 0.5
x = 48
sample size n = 100
sample proportion p" = x / n = 48 / 100 = 0.48
significance value = 0.5
= -1.65
Test Statistics;
z = (p" - p) / √( p( 1 - p ) / n )
we substitute
z = (0.48 - 0.5) / √( 0.5( 1 - 0.5 ) / 100)
z = -0.02 / √( 0.25 / 100 )
z = -0.02 / √0.0025
z = -0.02 / 0.05
z = -0.4
Hence, since z ( - 0.4 ) is greater than ( -1.65 );
we reject H₀, Null hypothesis,
Therefore, There is no evidence that there has been a significance decrease in the proportion of students who change their major after the first year in the program