In the past a cookie manufacturer found that 21 of all its c

In the past, a cookie manufacturer found that 21% of all its cookies are broken as a result of its packaging and shipping process. The manufacturer has initiated some changes and hopes that the proportion of broken cookies is now less than 21%. A sufficiently large sample is collected and 19% of the cookies are found to be broken. A 95% confidence interval is constructed for the proportion of cookies that are broken: (0.16, 0.22).

The manufacturer then made the following statements:

When a single package of cookies is opened, between 16% and 22% of the cookies will be broken.

There is a 95% chance the true proportion of all cookies that are broken is between 0.16 and 0.22.

Based on this confidence interval, there is statistical evidence that the company has been successful in reducing the proportion of broken cookies.

There is a 95% chance that the interval 16% to 22% contains the percentage of all cookies that are broken.

The margin of error of this confidence interval is 0.06.

If a 99% confidence interval is constructed instead, the size of the confidence interval will increase.

Using a 90% confidence level would make the confidence interval less precise.

The corresponding one-sample hypothesis test should be two-sided.

The corresponding one-sample hypothesis test would use an alpha-level of 5%.

Some of these statements may be false while others may be true. Choose at least two statements and state whether each is true or false. Explain your decision clearly. You may wish to help the manufacturer by rewriting a false statement to make it true.

Make sure you are reading and analyzing other students\' responses as well. They may have caught something that you did not an

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