How about this:
library(tidyverse)
dat <- structure(list(race = structure(c(1L, 2L, 1L, 2L), levels = c("black",
"nonblack"), class = "factor"), grp = structure(c(1L, 1L, 2L,
2L), levels = c("hbpm", "uc"), class = "factor"), ascertained = c(63,
32, 24, 21), missed = c(5, 3, 49, 9), total = c(68, 35, 73, 30
)), class = "data.frame", row.names = c(NA, -4L))
dat2 <- dat %>% select(-total) %>%
pivot_longer(c(ascertained, missed), names_to = "var", values_to="vals") %>%
uncount(vals) %>%
mutate(outcome = case_when(var == "ascertained" ~ 1,
TRUE ~ 0)) %>%
select(-var)
head(dat2)
#> # A tibble: 6 × 3
#> race grp outcome
#> <fct> <fct> <dbl>
#> 1 black hbpm 1
#> 2 black hbpm 1
#> 3 black hbpm 1
#> 4 black hbpm 1
#> 5 black hbpm 1
#> 6 black hbpm 1
dat2 %>%
group_by(race, grp, outcome) %>%
tally()
#> # A tibble: 8 × 4
#> # Groups: race, grp [4]
#> race grp outcome n
#> <fct> <fct> <dbl> <int>
#> 1 black hbpm 0 5
#> 2 black hbpm 1 63
#> 3 black uc 0 49
#> 4 black uc 1 24
#> 5 nonblack hbpm 0 3
#> 6 nonblack hbpm 1 32
#> 7 nonblack uc 0 9
#> 8 nonblack uc 1 21