The Genetics & IVF Institute conducted a clinical trial of the XSORT method desi

Question

The Genetics & IVF Institute conducted a clinical trial of the XSORT method designed to increase the probability of conceiving a girl. As of this writing, 945 babies were born to parents using the XSORT method, and 879 of them were girls. Use a 0.01 significance level to test the claim that the XSORT method is effective in increasing the likelihood that a baby will be a girl.

what is the test statistic that was given in this video? round off to 3 decimal places.

The Genetics & IVF Institute conducted a clinical trial ofthe Xs Mina T the probability of conceiving a girl. As of this writing, 945 babie were born to parents using the a& the x50RT method is effectwe in the iNe ihoad that ababyhimbeaein claim. ZIest.

Explanation / Answer

H0 : p = p0 = 0.5

Ha : p > p0 = 0.5

N = 945

p = 879/945 = 0.93

standard error of sampling se0 = sqrt p0 (1- p0)/N] = sqrt [ 0.5 * 0.5/ 945] = 0.0162

Test Statistic

Z = (p -p0)/ se0 = (0.93 - 0.5)/ 0.0162 = 26.543

Zcritical for alpha = 0.01 is equal to 2.575

so Z > Zcritical so we can reject the null hypothesis and can say that XSORT method is effective in increasing the likelihood that a baby will be a girl.

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