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Kissing Right? 3.1 Most people are right handed, and even the right eye is domin

ID: 3073714 • Letter: K

Question

Kissing Right? 3.1 Most people are right handed, and even the right eye is dominant for most people Developmental biologists have suggested that late-stage human embryos tend to turn their heads to the right. In a study reported in Nature (2003), German bio-psychologist Onur Güntürkn conjectured that this tendency to turn to the right manifests itself in other ways as well, so he studied kissing couples to see which side they leaned their heads to while kissing. He and his researchers observed kissing couples in public places such as airports, train sta- tions, beaches, and parks. They were careful not to include couples who were holding objects such as luggage that might have affected which direction they turned. For each kissing couple observed, the researchers noted whether the couple leaned their heads to the right or to the left. They observed 124 couples, ages 13 to 70 years. 1. Identify the observational units in this study. 2 Identify the variable recorded in this study. Classify it as categorical or quantitative. You will first use Güntürkün's data to test his conjecture that kissing couples tend to lean their heads to the right. Use the symbol a to denote the proportion of all kissing couples in these countries that lean their heads to the right Is a parameter or a statistic? Explain how you are deciding. 4. Do we know the exact value of x based on the observed data? Explain. 5. State the appropriate null and alternative hypotheses, both in words and in terms of the parameter x, for testing the conjecture that kissing couples tend to lean their heads to the right more often than by random chance Of the 124 couples observed, 80 leaned their heads to the right while kissing 6. Calculate the sample proportion of the observed couples who leaned their heads to the right while kissing. Also indicate the symbol used to denote this value MacBook Air F2 FS F7

Explanation / Answer

Answer to question #1)

The observational units are the “kissing couples” who od not hold anything in their hands while kissing

Answer to question#2)

The variable being recorded or observed is “direction” right or left. It is a categorical variable since can be classified only in two categories which are not numerical

Answer to question# 3)

Pie in this scenario is a statistic.

A statistic is the characteristic of the sample, where as a parameter is the characteristic of the population. In this study the researcher has considered a small sample of kissing couples observed at public places. The sample size is 124 couples and hence the proportion of those who kissed in the right direction are noted based on this sample. Thus the prpoportion so observed is a statistic

Answer to question# 4)

As per the content provided the number of right kissing couples of 124 observed couples is not provided in it and hence we are presently not aware of the number of right kissing couples. Plus since only a sample is observed we may or maynot be able to get the exact value of the parameter. The precision also depends on the sample size. Larger the sample the more closer we is the statistic to the true population.

Answer to question#5)

Null hypothesis: The proportion of left kissing couples and right kissing couples is same

Ho: P = 0.50

Alternate hypothesis: The proportion of right kissing couple is more than the left kissing couple

H1: P > 0.50

Answer to question# 6)

Given 80 couples were right kissing out of 124

Hence Sample Proportion P^ = 80/124