The claim is the proportion of peas with yellow pods is equal to 0.25 the sample statistics from one experiment includes 460 peas with 130 of them having yellow pods find the value of the test statistic

Test statistic – calculated value

n = 460

x = 130 yellow

Null Hypothesis: P = 0.25 claim

Alternative Hypothesis: P ≠ 0.25

Phat = x/ n = 130 / 460

Phat = 0.2826

Z = Phat – P / √ Pq /n

Z = 0.2826 – 0.250 / √ (0.25) (0.75) / 460

= 0.0326 / √ 0.1875 / 460

= 0.0326 / √ 0.0004

= 0.0326 / 0.02

= 1.63 is the test statistic

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents