A graduate student conducted an experiment in which 24 en month-old babies were

Question

A graduate student conducted an experiment in which 24 en month-old babies were asked to watch a climber character attempt to ascend a hill. On two occasions the baby witnesses the character a to make the climb. On the third attempt, the baby witnesses either a helper toy push the character up the hill or a hinderer toy prevent the character from making the ascent. The helper and hinderer toys were shown to each baby in a random fashion for a fixed amount of time. The baby was then placed in front of each toy and allowed to choose which toy he or she wished to play with. In 21 of the 24 cases, the baby chose the helper toy Complete parts (a) through (d) below. What would be the appropriate null and alternative hypotheses if the researcher is attempting to show that babies prefer helpers over hinderers? H_0: p = 0.5 H_1: p > 0.5 Use the binomial probability formula to determine the P-value for this test P-value = 0.000 (Round to three decimal places as needed.) What is the correct conclusion regarding the null hypothesis? Do not reject H_0.Although no level of significance is given, there is sufficient evidence to suggest the proportion of babies who choose the helper toy is greater than 0.5 Reject H_0 Although no level of significance is given, there is sufficient evidence to suggest the proportion of babies who choose the helper toy is greater than 0.5 Reject H_0. Although no level of significance is given, there is insufficient evidence to suggest the proportion of babies who choose the helper toy is greater than 0.5. Do not reject H_0 Although no level of significance is given, there is insufficient evidence to suggest the proportion of babies who choose the helper toy is greater than 5. In testing 11 six-month-old babies, all 11 preferred the helper toy. The P-value was reported as 0.0005. Interpret this result. Choose the correct answer below. If the population proportion of babies who choose the helper is 0.5, a sample where all 11 babies choose the helper will occur in about 11 out of 1000 samples of 11 babies. lf the population proportion of babies who choose the helper is 0.5, a sample where all 11 babies choose the helper will occur in exactly 5 out of 10, 000 samples of 11 babies. If the population proportion of babies who choose the helper is 05, a sample where all 11 babies choose the helper will occur in about 5 out of 10, 000 samples of 11 babies. If the population proportion of babies who choose the helper is 0.5, a sample where all 11 babies choose the helper will occur in exactly 11 out of 1000 samples of 11 babies.

Explanation / Answer

1)ho: p=0.5
H1:p>0.5
2)P-value is 0.0005

Correct conclusion regarding to null hypothesis.

the answer is "b"
Reason :no level of significance is given ,so there is sufficient evidence to suggest proportion of babies who choose helper toy is greater than 0.5 so reject the null hypothesis (ho)

3) the answer is "c" the p value 0.0005 so 5 out of 10000

If the population proportion of babies who choose the helper is 0.5 a sample where 11 babies choose will occur in about 5 out of 10000 samples of 11babies

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