Consider the triangle with sides a=1.6, b=2.3 and c=1.2 feet. You can use cosine theorem twice to find two unknown angles:
1.
Then you can conclude that ∠B is obtuse (because ) and m∠B=110°.
2.
.
Then you can conclude that ∠C is acute (because ) and m∠C=29°.
3. m∠A+m∠B+m∠C=180°, then m∠A=180°-110°-29°=41°.
Answer: m∠A=41° (∠A is opposite to the side a=1.6), m∠B=110° (∠B is opposite to the side b=2.3) and m∠C=29° (∠C is opposite to the side c=1.2)
Answer:
We conclude that in the population of all senior executives, different from 40% say that the most common job interview mistake is to have little or no knowledge of the company.
Step-by-step explanation:
We are given that in a survey of 155 senior executives, 48.4% said that the most common job interview mistake is to have little or no knowledge of the company.
We have to use a 0.05 significance level to test the claim that in the population of all senior executives, 40% say that the most common job interview mistake is to have little or no knowledge of the company.
Let p = <u><em>population proportion of senior executives who said that the most common job interview mistake is to have little or no knowledge of the company</em></u>
So, Null Hypothesis, : p = 40% {means that in the population of all senior executives, 40% say that the most common job interview mistake is to have little or no knowledge of the company}
Alternate Hypothesis, : p
40% {means that in the population of all senior executives, different from 40% say that the most common job interview mistake is to have little or no knowledge of the company}
The test statistics that would be used here <u>One-sample z test for proportions</u>;
T.S. = ~ N(0,1)
where, = sample proportion of senior executives who said that the most common job interview mistake is to have little or no knowledge of the company = 48.4%
n = sample of senior executives = 155
So, <u><em>the test statistics</em></u> =
= 2.09
The value of z test statistics is 2.09.
<u>Also, P-value of the test statistics is given by;</u>
P-value = P(Z > 2.09) = 1 - P(Z 2.09)
= 1 - 0.9817 = <u>0.0183</u>
<u>Now, at 0.05 significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.</u>
Since our test statistic does not lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.
Therefore, we conclude that in the population of all senior executives, different from 40% say that the most common job interview mistake is to have little or no knowledge of the company.