"The recommended dietary allowance (RDA) of vitamin C for women is 75 milligrams (mg) per day. A hypothesis test, with a significance level of 0.05, is to be performed to decide whether adult women are, on average, getting less than the RDA of 75 mg per day. A researcher gathers data from a random sample of women in order to carry out the test. Based on this data, she calculates a test statistic of t = -2.207 and a P-Value of 0.0178. Based on the sample results and at a 0.05 significance level she should:
A. Reject H subscript 0. There is sufficient evidence that adult women do get less than the RDA of 75 mg per day.
B. Reject H subscript 0. There is not sufficient evidence that adult women do get less than the RDA of 75 mg per day.
C. Fail to reject H subscript 0 space end subscript. There is sufficient evidence that adult women do get less than the RDA of 75 mg per day.
D. Fail to rejectH subscript 0. There is not sufficient evidence that adult women do get less than the RDA of 75 mg per day."

The correct option is (A).

Step-by-step explanation:

In this case we need to determine whether adult women are, on average, getting less than the RDA of 75 mg per day.

The hypothesis can be defined as follows:

H₀: The mean RDA per day an adult women is getting is 75 mg, i.e. μ = 75.

Hₐ: The  i.e. μ < 75.

A t-test for single mean is used to perform the test.

The significance level of the test is, α = 0.05.

The p-value of the test is, p-value = 0.0178.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice versa.

p-value = 0.0178 < α = 0.05.

The null hypothesis will be rejected at 5% level of significance.

Thus, it can be concluded that there is sufficient evidence to support the claim that the mean RDA per day an adult women is getting is less than 75 mg.

Hence, the correct option is (A).

c. 65°

step-by-step explanation:

we are given a triangle with two known angles, 62° and 53°, while the third angle x is unknown and we are to find its value.

we know that the sum of angles in a triangle is equal to a total of 180 degrees. so we can write it as:

x + 62° + 53° = 180°

solving to find the value of x:

x = 180 - (62 + 53) = 65°

therefore, the value of x in this triangle is 65°.

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