This is a twotailed test, and α = 0.05.
That is a onetailedhypothesis because it specifies that the correlation must bepositive.
One and twotailed tests  Wikipedia
Enter the two correlation coefficients, with their respective sample sizes, into the boxes below. Then click on "calculate." The values associated with both a 1tailed and 2tailed test will be displayed in the "" boxes.
To obtain the Pvalue, we need to compare the test statistic to a tdistribution with 168 degrees of freedom (since 170  2 = 168). In particular, we need to find the probability that we'd observe a test statistic more extreme than 35.39, and then, since we're conducting a twosided test, multiply the probability by 2. Minitab helps us out here:
One and twotailed tests A twotailed test applied to the normal ..
The F test looks for a difference in variances. The results from the f test here would be “there is no significant differences in the VARIANCES in aged lungs from smoking between the two groups”.
If you can read a table — you can test for correlation coefficient. Note that correlations should only be calculated for an entire range of data. If you , r will be weakened.
Will That be One Tail or Two?  Actual Analysis
The terms and , by the way,come from the mathematical details of statistical testing (theyrefer to the tails or ends of the sampling distribution).
There is one more point we haven't stressed yet in our discussion about the correlation coefficient r and the coefficient of determination r^{2} — namely, the two measures summarize the strength of a linear relationship in samples only. If we obtained a different sample, we would obtain different correlations, different r^{2} values, and therefore potentially different conclusions. As always, we want to draw conclusions about populations, not just samples. To do so, we either have to conduct a hypothesis test or calculate a confidence interval. In this section, we learn how to conduct a hypothesis test for the population correlation coefficient ρ (the greek letter "rho").
TwoTailed Test Definition  Investopedia

OneTailed Vs. TwoTailed Tests: Differences & …
The practical significance of this distinction is that you canuse a smaller sample to test a onetailed hypothesis.

Should I use Onetailed or Twotailed Hypothesis Tests?
Will That be One Tail or Two

Hypothesis testing for a correlation that is zero ..
You will often see a statistical test or a hypothesis referred to as onetailed or twotailed
Onetailed and twotailed tests  The Analysis Factor
In the olden days, when people looked up P values in printed tables, they would report the results of a statistical test as "PPP>0.10", etc. Nowadays, almost all computer statistics programs give the exact P value resulting from a statistical test, such as P=0.029, and that's what you should report in your publications. You will conclude that the results are either significant or they're not significant; they either reject the null hypothesis (if P is below your predetermined significance level) or don't reject the null hypothesis (if P is above your significance level). But other people will want to know if your results are "strongly" significant (P much less than 0.05), which will give them more confidence in your results than if they were "barely" significant (P=0.043, for example). In addition, other researchers will need the exact P value if they want to combine your results with others into a .
Test of hypothesis (twotail)  University of Northern Iowa
To come up with how much smoking has aged the lungs we subtract the spirometric lung age from biological age. We get this table listed below. We kinda sorta after cutting and pasting. The first roll is the females and the second roll is males.
Female Years Lung Aged Male Years Lung Aged
37 33
30 1
25 29
26 0
23 0
28 12
26 25
37 40
38 0
20 36
27 21
27 12
46 42
41 19
20 37
33 1
8 21
23 2
36 16
26 18
12 19
13 21
4 5
41 13
25 13
60 39
Doing the F test as I followed you on YouTube I get this…
FTest TwoSample for Variances
Test of hypothesis (twotail) ..
A fairly common criticism of the hypothesistesting approach to statistics is that the null hypothesis will always be false, if you have a big enough sample size. In the chickenfeet example, critics would argue that if you had an infinite sample size, it is impossible that male chickens would have exactly the same average foot size as female chickens. Therefore, since you know before doing the experiment that the null hypothesis is false, there's no point in testing it.
The Pvalue refers to the twotailed correlation test of hypothesis
Helping my daughter with science fair project. We are using spirometry data from my clinic to see which gender smoking ages the lungs the most. My daughter thinks smoking ages a woman’s lungs the most. However, wouldn’t the null hypothesis be there is no gender difference in lung age?