An inspector inspects a shipment of medications to determine the efficacy in terms of the proportion p in the shipment that failed to retain full potency after 60 days of production. Unless there is clear evidence that this proportion is less than 0.05, she will reject the shipment. To reach a decision, she will test the following hypotheses using the large-sample test for a population proportion: H0 : p = 0.05, Ha : p < 0.05
To do so, she selects an SRS of 200 pills. Suppose that eight of the pills have failed to retain their full potency. The proportion 'p-hat' for the proportion of pills that have failed to retain their potency is:.

Solution :

It is given that :

    (Null hypothesis, is also correct)

    (Alternate hypothesis, also called )

This is a lower tailed test,

Therefore,

Sample proportion,

                                    = 0.04

And claimed proportion, P = 0.05

Significance level, = 0.01

Therefore, calculating the statistics, we get

Standard deviation of

Test statistic,

Now since this is a lower tailed test, p-value =

Rejection Criteria : Reject if p-value < α .

Conclusion : Since the p-value , we fail to reject the null hypothesis. There is insufficient evidence that p is less than 0.05

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.

the fist one is not equalvalent but i think th second one isand the third isnt definetly or the last one is i think. hope this !

step-by-step explanation: