Wanting to enjoy the beautiful weather, Cassie took a walk with no destination i

Question

Wanting to enjoy the beautiful weather, Cassie took a walk with no destination in mind. At each four-way intersection, she randomly decided to head either north or east. A summary of her walk is shown below.

N N N N N E E N E N N N N N N N E E E N

N E E N E N E N E N E E E N N E E E N E

Is there evidence at the = 0.05 level of significance to support the hypothesis that Cassies walk was not random?

A) z = -0.26

Since |z| < z0.025 = 1.96, we do not reject H0. There is not sufficient evidence to support the hypothesis that her walk was not random.

B) z = -0.91

Since |z| < z0.025 = 1.96, we do not reject H0. There is not sufficient evidence to support the hypothesis that her walk was not random.

C) z = -5.43

Since |z| > z0.025 = 1.96, we reject H0. There is sufficient evidence to support the hypothesis that her walk was not random.

D) z = -3.50

Since |z| > z0.025 = 1.96, we reject H0. There is sufficient evidence to support the hypothesis that her walk was not random.

Please show the steps on ti84 cal (if it can be done on that)

Explanation / Answer

H0: P=0.5

H1:P not equals to 0.5

alpha:5%

test statistic:

z =(x bar -Mu)/(s/sqrt(n))

z=-0.91

conclusion:

z cal=0.91

z critical =1.96

Z cal<Z critical we acceptH0. Hence There is not sufficient evidence to support the hypothesis that her walk was not random.

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