A 0.05 significance level issued used for a hypothesis test of the claim that wh

Question

A 0.05 significance level issued used for a hypothesis test of the claim that when parents use a particular method of gender selection the proportion of baby girls less than 0.5. Assume that sample data consists of 78 girls in 169 births. the sample statistics of 6/13 results in a z score that is 1 standard deviation below 0. Complete parts (a) through (h)below. Identify the null hypothesis and the alternative hypothesis. Choose the correct answer below H_0: p = 0.5 H_1: p notequalto 0.6 H_0: p = 0.5 H_1: p

Explanation / Answer

SOl:

ANSWERS

(a)

ANSWERB

(b)0.05

(c)normal distr

(d)left tailed

(e)z=-2.4

(f)0.0082

(g)1.96

Null hypothesis:

Ho:p=0.5

Alternative Hypothesis:

H1:p<0.5

left tail test for proportion

Alpha=0.05

as nothing specified about level of signiifcance in the problem

distribution is normal since mean is 0 an dstandard deviation is 1

left tailed

given smaple proportion=p^=78/189=0.4127

z=0.4127-0.5/sqrt(0.5(1-0.5)/189)

=-2.4

The P-Value is 0.008198.

P=0.0082(4 DECIMALS)

The result is significant at p < 0.05

REJECT NULL HYPOTHESIS

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