Answer:
Proportion states that the two fractions or ratios are equal
Given the equation:
By cross multiply we get;
Using distributive property;
Subtract 0.4 from both sides we get;
Subtract 1.5x from both sides we get;
Divide both sides by 0.1 we get;
Simplify:
x = 56
Therefore, the value of x that satisfy the equation is, 56
Answer with explanation:
Let p be the proportion of adults have heard of the new electronic reader.
Given claim : The accompanying technology display results from a test of the claim that 38% of adults have heard of the new electronic reader.
i.e.
Then , the set of hypothesis will be :-
Since, the alternative hypothesis is two tailed , so the test is two-tailed test.
Also, it is given that the sample size :
Number of adults showed that they have heard of a new electronic reader=522
So the sample proportion for adults have heard of the new electronic reader :
The test statistic for proportion is given by :-
By using standard normal distribution table , the P-value for two tailed test corresponds to the obtained z-value =