Ramona is a saleswoman whose base plus commissions amounted to $52,561 last year. If her base pay was $23,960 and she made $77,3
2 answers:
Answer:
37%
Step-by-step explanation:
If Ramona received an overall pay of $52,561 last year, $23,960 of which was base pay, we can first subtract these two numbers to find the amount she made from her sales commission:
$52,561 - $23,960 = $28,601
In order to find her percent commission, we can set up a proportion:
, where 'p' is her rate of commission
Cross-multiply and divide: 100(28601) = 77300x or 2,860,100 = 77,300x
Or x = 37%
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Answer:
We conclude that the proportion of student body in favor of him is significantly less than or equal to 50%.
Step-by-step explanation:
We are given that Mike runs for the president of the student government and is interested to know whether the proportion of the student body in favor of him is significantly more than 50 percent.
A random sample of 100 students was taken. Fifty-five of them favored Mike.
<em>Let p = </em><u><em>proportion of the students who are in favor of Mike.</em></u>
So, Null Hypothesis, : p
50% {means that the proportion of student body in favor of him is significantly less than or equal to 50%}
Alternate Hypothesis, : p > 50% {means that the proportion of student body in favor of him is significantly more than 50%}
The test statistics that would be used here <u>One-sample z proportion</u> <u>statistics</u>;
T.S. = ~ N(0,1)
where, = sample proportion of students body in favor of Mike =
= 0.55
n = sample of students taken = 100
So, <em><u>test statistics</u></em> =
= 1.01
The value of z test statistics is 1.01.
<em>Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.</em>
<em>Since our test statistic is less than the critical value of z as 1.01 < 1.645, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which </em><u><em>we fail to reject our null hypothesis</em></u><em>.</em>
Therefore, we conclude that the proportion of student body in favor of him is significantly less than or equal to 50% or proportion of the students in favor of Mike is not significantly greater than 50 percent.