Question

Part 1 Hypothesis Test and Confidence Interval from 1 sample

Test ONE claim about a population parameter by collecting your own data or using our class survey data. Include your written claim, hypothesis in both symbolic and written form, relevant statistics (such as sample means, proportions etc.), test statistic, p-value (or critical value), conclusion, and interpretation of your conclusion in the context of your claim. Use a 0.05 significance level.

You will also construct a 95% confidence interval estimate of your population parameter tested above and write brief statement about how the interval validates or invalidates the claim you tested.

Examples of potential Hypotheses:

• Test the claim that the proportion of brown M&Ms in a minibag of candies is 5%.

• Test the claim the proportion of your friends on Facebook who post something everyday is less than 42%.

• Test the claim that the mean pulse rate of a person is less 75 beats per minute.

• Test the claim that the mean wait time in line at your favorite coffee shop is greater than 2 minutes.

Part 2 Hypothesis Test and Confidence Interval from 2 samples of PAIRED Data

Test ONE claim about the mean difference in a population of paired data. Collect your own data or use our class survey data. Include your written claim, hypothesis in both symbolic and written form, relevant statistics (such as sample mean of the difference, standard deviation of the differences and sample (pair) size), test statistic, p-value (or critical value method), conclusion, and interpretation of your conclusion in the context of your claim. Use a 0.05 significance level.

You will also construct a 95% confidence interval estimate of your population parameter tested above and write brief statement about how the interval validates or invalidates the claim you tested.

(Include at least 15 pairs of data)

Here are some examples of paired data:

• A healthy person's average body temperature is warmer in the morning than in the evening.
• The mean number of apps on a wife's phone is greater than the mean number of apps on her husband's phone.
• The mean pinkie length of people's left hand is shorter than their right hand.
• The average number of pets a person has is greater than the average number of children they have.
• A person's height is the same length as their arm span

Answer 1