Suppose a researcher is testing the hypothesis h_0: p = 0.4 versus h_1: p < 0.4 and she finds the p-value to be 0.26. explain what this means. would she reject the null hypothesis? why? choose the correct explanation below.
a. if the p-value for a particular test statistic is 0.26, she expects results no more extreme than the test statistic in exactly 26 of 100 samples if the null hypothesis is true.
b. if the p-value for a particular test statistic is 0.26, she expects results no more extreme than the test statistic in about 26 of 100 samples if the null hypothesis true.
c. a. if the p-value for a particular test statistic is 0.26, she expects results no more extreme than the test statistic in exactly 26 of 100 samples if the null hypothesis is true.
d. a. if the p-value for a particular test statistic is 0.26, she expects results no more extreme than the test statistic in about 26 of 100 samples if the null hypothesis is true.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed

explanation:

infrared radiation has wavelength in the range between 700 nm and 1 mm. lets' convert these values into scientific notation, keeping in mind that:

let's start from the lower value, we have:

(we moved the dot two places to the left, so we increased the exponent by 2 units, from -9 to -7)

the higher value is:

so, the range of wavelength of infrared radiation is:

step-by-step explanation:

f(gx)=f(1/x+2)

=(1/x+2)+2

=(1+2x)/2+2

=(1+2x+4)/2

= (2x+5)/2