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linical trial was conducted using a new method designed to increase the probabil

ID: 3048169 • Letter: L

Question

linical trial was conducted using a new method designed to increase the probability of conceiving a girl. As of this writing, 952 babies were bom to parents using new method, and 898 of them were girls. Use a 0.05 significance level to test the claim that the new method is effective in increasing the likelihood that a baby I be a girl. Identify the null hypothesis, altemative hy pothesis, test statistic, P-value, conckusion about the null hy pothesis, and final conclusion that addresses th ginal claim. Use the P.value method and the normal distribution as an approximation to the binomial distribution hich of the following is the hypothesis test to be conducted? A. Ho P-0.5 O B. Ho:p-0.5 H1 : p#05 D. Hop#05 H p>0.5 H p 0.5 H p 0.5 OF Ho p 0.5 H pc0.5 What is the test statistic?

Explanation / Answer

Image - 1: The statistical software output for this problem is:

One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.5
HA : p > 0.5

Hypothesis test results:

Hence,

Hypotheses: Option A is correct.

z = 27.35

Image - 2: The statistical software output for this problem is:

One sample T hypothesis test:
: Mean of variable
H0 : = 1000
HA : < 1000

Hypothesis test results:

Hence,

Hypotheses: Option D is correct.

t = - 2.574

Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 898 952 0.94327731 0.016205093 27.354197 <0.0001