Consider this quote: "in a recent survey, 61 out of 100 consumers reported that they preferred plastic bags instead of paper bags for their groceries. if there is no difference in the proportions who prefer each type in the population, the chance of such extreme results in a sample of this size is about .03. because .03 is less than .05, we can conclude that there is a statistically significant difference in preference." give a numerical value for each of the following. a. the p-value. b. the level of significance,α
c. the sample proportion. d. the sample size. e. the null value.

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Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )