Circle the integer(s) that have an absolute value of 11
1 answer:
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<h3>The equation represents the total amount Emma earns at the event is y = 10x</h3>
<em><u>Solution:</u></em>
Given that,
<em><u>The total amount Emma earns, y, is proportional to the number of bracelets, x, she sells</u></em>
Where,
y is the total amount Emma earns
x is the number of bracelets
k is the cost of each bracelet
<em><u>Emma earns $10 for each sold bracelet</u></em>
Therefore, k = 10
Thus, eqn 1 becomes,
<h3>y = 10x</h3>Thus the equation represents the total amount Emma earns at the event is found
Answer:
a) H0 : P = 0.07
Ha : P ≠ 0.07
b) p -value = 0.1770
Step-by-step explanation:
P = 7% = 0.07
x (result ) = 7 , n = 163
p = x / n = 7 / 163 = 0.043
<u>a) Using a significance level ( ∝ ) of 0.05, estimate the appropriate hypothesis</u>
H0 : P = 0.07
Ha : P ≠ 0.07
conduct a Z- test statistic
Z = ( p - P ) /
= ( 0.043 - 0.07 ) / = - 1.35
Critical value ( Z₀.₀₂₅ ) = ± 1.96
<em>we fail to reject H0 given that | z | < Zcritical because there is not enough evidence to conclude that proportion change</em>
<u>b) Determine the p-value of the test </u>
P-value = P ( | Z | > Z )
= 2 * P ( Z < -1.35 )
= 0.1770
The p-value ( 0.1770 ) > ∝ ( 0.05 ) hence we fail to reject H0 ( i.e. the conclusion agrees with part a above )