In a study of 124 kissing couples, 80 of the couples tilted their heads to the right.
(a) Which parameter are we interested in estimating?
(b) What are the appropriate symbols for the population parameter and sample statistic?
(c) What percentage of couples in this study tilted their heads to the right?
(d) Find a confidence interval for the population proportion of couples who lean to the right. Use a confidence level of 99%. Use proper notation and circle your final answer. Round to four decimal places.
(e) Fill in the blanks given in the statement below to interpret
your interval.
“I am_______ confident that the population proportion of couples
who lean to the right is between _________ and .”
(f) Suppose that you have knowledge of the above study. You want to do a similar study and estimate the proportion of all couples who tilt their head to the right to within 4%. How many couples will you need to include in your sample?
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