State the null and alternative hypothesis in symbols and words. Assume conditions have been met. (2 pts.) Perform your hypothesi
s test "by hand" using the equation editor. Be sure to use the appropriate probability notation. Don't write your conclusion in this step.(4 pts.) Construct a 90% confidence interval, again showing calculations "by hand". Don't write your conclusion in this step. (4 pts.) State your FULL conclusion making sure to site whether we reject or fail to reject and what that means in context based on the p-value. Then support your conclusion with the results from your confidence interval. Then be sure to note whether the hypothesized value falls in our interval and what that means. (3 pts.)
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An <em>angle bisector</em> is a <u>straight line</u> that <em>divides</em> a given <u>angle</u> into two <u>equal</u> measures. Thus the measure of <u>angle</u> FBC is .
A <u>line</u> that <em>divides</em> a given measure of angle into <em>two equal</em> measures is referred to as an <em>angle bisector</em>. This makes the <em>two angles</em> produced by the <u>bisector</u> to be <u>congruent</u>.
Thus from the given question, we have;
<ABD + <DBC = < ABC (<u>addition</u> property of a <em>bisected angle</em>)
<ABE + <EBD = <ABD (<u>addition</u> property of a bisected angle)
<EBF + <FBD = <EBD (<u>addition</u> property of a <em>bisected angle</em>)
Given that angle ABE = , thus;
<ABE = <EBD =
Then,
<EBF + <FBD =
<EBF = <FBD =
Such that;
<FBC = <FBD + <DBC
= + 2<ABE
= +
<FBC =
Therefore, the <em>measure</em> of <u>angle</u> FBC is .
For more clarifications on bisection of a given angle, visit: brainly.com/question/17247176
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