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Assume that the significance level is alpha equals 0.01. Use the given information to find the​ P-value and the critical​ value(s). With Upper H 1 : p not equals three fourths ​, the test statistic is zequalsnegative 1.64.

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JeanaShupp

Answer:  0.1010052

Step-by-step explanation:

Given : Significance level : [tex]\alpha=0.01[/tex]

Alternative hypothesis : [tex]H_1:\ p\neq\dfrac{3}{4}[/tex]

The test statistic value : [tex]z=-1.64[/tex]

Since , the alternative hypothesis is two-tailed, so the test is a two-tailed test.

Using standard normal distribution table for z, we have

The P-value of two-tailed test will be :-

[tex]2P(z>|-1.64|)=2P(z>1.64)\\\\=2(1-P(z\leq1.64))\\\\=2(1-0.9494974)\\\\=0.1010052[/tex]

Hence, the P-value = 0.1010052

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