chi square and analysis of variance 7(a,b,c,d,e) & 8(a,b) 7. Honesty Is the Best

Question

chi square and analysis of variance
7(a,b,c,d,e) & 8(a,b)

7. Honesty Is the Best Policy In a USA Today survey of 456 subjects, 269 agreed that honesty is always the best policy Assume that we plan to use the survey results to estimate the proportion of the population who believe that honesty is always the best policy. a. Is the sample proportion of 269/456 a statistic or a parameter? b. Are frequency counts such as 269 categorical data or quantitative data? c. Are frequency counts such as 269 discrete or continuous d. What does it mean for a sample, such as the 456 surveyed subjects, to be a simple random sample? e. The USA Today survey was conducted as follows: A question was posted on the U Today Web site and Internet users could choose to respond. In statistics, is this a valid sam- pling plan 8. Probability and Honesty Based on the sample described in the preceding exercise, as sume that when someone is randomly selected, there is a 0.6 probability that the selected person believes that honesty is always the best policy

Explanation / Answer

Q.7 (a) The sample proportion of 269/456 is a statistic because it describes a sample

(b) Frequecny count are quantitative data.

(c) Frequency counts are discrete data.

(d) A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen. So, here also people are randomly selcted.

(e) No, this is not a valid sampling plan as only internet users are part of it so not a simple random sample.

Q.8

Here p = 0.6

(a) If four people are selected, probability that all believe Honesty is the beest policy = 4C4 (0.6)4 = 0.1296

(B) Probability that he/she doesn't believe that honesty is the best policy. = 1 - 0.6 = 0.4

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