## proportion of a sample

Hi. Could someone help me answer the last 3 blank boxes?
I got 0.2, 0.05 and sqrt(0.2*0.8/150) for the first 3 boxes.

A researcher in Food Science is interested in estimating the degree of cracking of a certain variety of rice under a certain regime of industrial rice dryer. The quality standard allows no more than 15% of cracking. The researcher wants to check whether the regime chosen violates the quality standard. 150 seeds were selected at random and dried in a laboratory dryer that imitates the industrial drying regime. Each seed was assumed to respond to the drying conditions independently. In the experiment, 30 seeds cracked.

Fill in the blanks in the paragrpah below with numeric answers with three digits after the decimal point. Recall that the standard error used for the test for proportions is different from the standard error used for the confidence intervals.

Carefully check your answers before submitting this question. No partial marks are allocated for this question.

The cracking proportion in the test is [] The difference between the sample proportion and the hypothesised proportion required by the standard is [] The standard error of the sample proportion for the test is [] The test-statistic is 1.71. The critical value of the test at the 5% significance level is [] The p-value of the test is []. The experiment suggests that the drying regime (choose from: does/does not) meet the requirements of the standard.